/* mpfr_get_str -- output a floating-point number to a string Copyright 1999-2021 Free Software Foundation, Inc. Contributed by the AriC and Caramba projects, INRIA. This file is part of the GNU MPFR Library. The GNU MPFR Library is free software; you can redistribute it and/or modify it under the terms of 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. The GNU MPFR 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 Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with the GNU MPFR Library; see the file COPYING.LESSER. If not, see https://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */ #define MPFR_NEED_LONGLONG_H #define MPFR_NEED_INTMAX_H #include "mpfr-impl.h" static int mpfr_get_str_aux (char *const, mpfr_exp_t *const, mp_limb_t *const, mp_size_t, mpfr_exp_t, long, int, size_t, mpfr_rnd_t); /* The implicit \0 is useless, but we do not write num_to_text[62] otherwise g++ complains. */ static const char num_to_text36[] = "0123456789abcdefghijklmnopqrstuvwxyz"; static const char num_to_text62[] = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ" "abcdefghijklmnopqrstuvwxyz"; /* copy most important limbs of {op, n2} in {rp, n1} */ /* if n1 > n2 put 0 in low limbs of {rp, n1} */ #define MPN_COPY2(rp, n1, op, n2) \ if ((n1) <= (n2)) \ { \ MPN_COPY ((rp), (op) + (n2) - (n1), (n1)); \ } \ else \ { \ MPN_COPY ((rp) + (n1) - (n2), (op), (n2)); \ MPN_ZERO ((rp), (n1) - (n2)); \ } #define MPFR_ROUND_FAILED 3 /* Input: an approximation r*2^f to a real Y, with |r*2^f - Y| <= 2^(e+f). If rounding is possible, returns: - in s: a string representing the significand corresponding to the integer nearest to Y, within the direction rnd; - in exp: the exponent. n is the number of limbs of r. e represents the maximal error in the approximation to Y (see above), (e < 0 means that the approximation is known to be exact, i.e., r*2^f = Y). b is the wanted base (2 <= b <= 62 or -36 <= b <= -2). m is the number of wanted digits in the significand. rnd is the rounding mode. It is assumed that b^(m-1) <= Y < b^(m+1), thus the returned value satisfies b^(m-1) <= rnd(Y) < b^(m+1). Rounding may fail for two reasons: - the error is too large to determine the integer N nearest to Y - either the number of digits of N in base b is too large (m+1), N=2*N1+(b/2) and the rounding mode is to nearest. This can only happen when b is even. Return value: - the direction of rounding (-1, 0, 1) if rounding is possible - -MPFR_ROUND_FAILED if rounding not possible because m+1 digits - MPFR_ROUND_FAILED otherwise (too large error) */ static int mpfr_get_str_aux (char *const str, mpfr_exp_t *const exp, mp_limb_t *const r, mp_size_t n, mpfr_exp_t f, long e, int b, size_t m, mpfr_rnd_t rnd) { const char *num_to_text; int b0 = b; /* initial base (might be negative) */ int dir; /* direction of the rounded result */ mp_limb_t ret = 0; /* possible carry in addition */ mp_size_t i0, j0; /* number of limbs and bits of Y */ unsigned char *str1; /* string of m+2 characters */ size_t size_s1; /* length of str1 */ mpfr_rnd_t rnd1; size_t i; int exact = (e < 0); MPFR_TMP_DECL(marker); /* if f > 0, then the maximal error 2^(e+f) is larger than 2 so we can't determine the integer Y */ MPFR_ASSERTN(f <= 0); /* if f is too small, then r*2^f is smaller than 1 */ MPFR_ASSERTN(f > (-n * GMP_NUMB_BITS)); MPFR_TMP_MARK(marker); num_to_text = (2 <= b0 && b0 <= 36) ? num_to_text36 : num_to_text62; b = (b0 > 0) ? b0 : -b0; /* R = 2^f sum r[i]K^(i) r[i] = (r_(i,k-1)...r_(i,0))_2 R = sum r(i,j)2^(j+ki+f) the bits from R are referenced by pairs (i,j) */ /* check if is possible to round r with rnd mode where |r*2^f - Y| <= 2^(e+f) the exponent of R is: f + n*GMP_NUMB_BITS we must have e + f == f + n*GMP_NUMB_BITS - err err = n*GMP_NUMB_BITS - e R contains exactly -f bits after the integer point: to determine the nearest integer, we thus need a precision of n * GMP_NUMB_BITS + f */ if (exact || mpfr_round_p (r, n, n * GMP_NUMB_BITS - e, n * GMP_NUMB_BITS + f + (rnd == MPFR_RNDN))) { /* compute the nearest integer to R */ /* bit of weight 0 in R has position j0 in limb r[i0] */ i0 = (-f) / GMP_NUMB_BITS; j0 = (-f) % GMP_NUMB_BITS; ret = mpfr_round_raw (r + i0, r, n * GMP_NUMB_BITS, 0, n * GMP_NUMB_BITS + f, rnd, &dir); MPFR_ASSERTD(dir != MPFR_ROUND_FAILED); if (ret) /* Y is a power of 2 */ { if (j0) r[n - 1] = MPFR_LIMB_HIGHBIT >> (j0 - 1); else /* j0=0, necessarily i0 >= 1 otherwise f=0 and r is exact */ { r[n - 1] = ret; r[--i0] = 0; /* set to zero the new low limb */ } } else /* shift r to the right by (-f) bits (i0 already done) */ { if (j0) mpn_rshift (r + i0, r + i0, n - i0, j0); } /* now the rounded value Y is in {r+i0, n-i0} */ /* convert r+i0 into base b: we use b0 which might be in -36..-2 */ str1 = (unsigned char*) MPFR_TMP_ALLOC (m + 3); /* need one extra character for mpn_get_str */ size_s1 = mpn_get_str (str1, b, r + i0, n - i0); /* round str1 */ MPFR_ASSERTN(size_s1 >= m); *exp = size_s1 - m; /* number of superfluous characters */ /* if size_s1 = m + 2, necessarily we have b^(m+1) as result, and the result will not change */ /* so we have to double-round only when size_s1 = m + 1 and (i) the result is inexact (ii) or the last digit is non-zero */ if ((size_s1 == m + 1) && ((dir != 0) || (str1[size_s1 - 1] != 0))) { /* rounding mode */ rnd1 = rnd; /* round to nearest case */ if (rnd == MPFR_RNDN) { if (2 * str1[size_s1 - 1] == b) { if (dir == 0 && exact) /* exact: even rounding */ { rnd1 = ((str1[size_s1 - 2] & 1) == 0) ? MPFR_RNDD : MPFR_RNDU; } else { /* otherwise we cannot round correctly: for example if b=10, we might have a mantissa of xxxxxxx5.00000000 which can be rounded to nearest to 8 digits but not to 7 */ dir = -MPFR_ROUND_FAILED; MPFR_ASSERTD(dir != MPFR_EVEN_INEX); goto free_and_return; } } else if (2 * str1[size_s1 - 1] < b) rnd1 = MPFR_RNDD; else rnd1 = MPFR_RNDU; } /* now rnd1 is either MPFR_RNDD or MPFR_RNDZ -> truncate, or MPFR_RNDU or MPFR_RNDA -> round toward infinity */ /* round away from zero */ if (rnd1 == MPFR_RNDU || rnd1 == MPFR_RNDA) { if (str1[size_s1 - 1] != 0) { /* the carry cannot propagate to the whole string, since Y = x*b^(m-g) < 2*b^m <= b^(m+1)-b where x is the input float */ MPFR_ASSERTN(size_s1 >= 2); i = size_s1 - 2; while (str1[i] == b - 1) { MPFR_ASSERTD(i > 0); str1[i--] = 0; } str1[i]++; } dir = 1; } /* round toward zero (truncate) */ else dir = -1; } /* copy str1 into str and convert to characters (digits and lowercase letters from the source character set) */ for (i = 0; i < m; i++) str[i] = num_to_text[(int) str1[i]]; /* str1[i] is an unsigned char */ str[m] = 0; } /* mpfr_can_round_raw failed: rounding is not possible */ else { dir = MPFR_ROUND_FAILED; /* should be different from MPFR_EVEN_INEX */ MPFR_ASSERTD(dir != MPFR_EVEN_INEX); } free_and_return: MPFR_TMP_FREE(marker); return dir; } /*************************************************************************** * __gmpfr_l2b[b-2][0] is a 23-bit upper approximation to log(b)/log(2), * * __gmpfr_l2b[b-2][1] is a 77-bit upper approximation to log(2)/log(b). * * The following code is generated by tests/tl2b (with an argument). * ***************************************************************************/ #ifndef UINT64_C # define UINT64_C(c) c #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_2_0__tab[] = { 0x00, 0x00, 0x80 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_2_0__tab[] = { 0x0000, 0x8000 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_2_0__tab[] = { 0x80000000 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_2_0__tab[] = { UINT64_C(0x8000000000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_2_0__tab[] = { 0x800000000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_2_0__tab[] = { 0x80000000000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_2_0__tab[] = { 0x8000000000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_2_1__tab[] = { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_2_1__tab[] = { 0x0000, 0x0000, 0x0000, 0x0000, 0x8000 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_2_1__tab[] = { 0x00000000, 0x00000000, 0x80000000 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_2_1__tab[] = { UINT64_C(0x0000000000000000), UINT64_C(0x8000000000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_2_1__tab[] = { 0x800000000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_2_1__tab[] = { 0x80000000000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_2_1__tab[] = { 0x8000000000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_3_0__tab[] = { 0x0e, 0xe0, 0xca }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_3_0__tab[] = { 0x0e00, 0xcae0 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_3_0__tab[] = { 0xcae00e00 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_3_0__tab[] = { UINT64_C(0xcae00e0000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_3_0__tab[] = { 0xcae00e000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_3_0__tab[] = { 0xcae00e00000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_3_0__tab[] = { 0xcae00e0000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_3_1__tab[] = { 0x48, 0x04, 0x4e, 0xe9, 0xa9, 0xa9, 0xc1, 0x9c, 0x84, 0xa1 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_3_1__tab[] = { 0x0448, 0xe94e, 0xa9a9, 0x9cc1, 0xa184 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_3_1__tab[] = { 0x04480000, 0xa9a9e94e, 0xa1849cc1 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_3_1__tab[] = { UINT64_C(0x0448000000000000), UINT64_C(0xa1849cc1a9a9e94e) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_3_1__tab[] = { 0xa1849cc1a9a9e94e04480000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_3_1__tab[] = { 0xa1849cc1a9a9e94e0448000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_3_1__tab[] = { 0xa1849cc1a9a9e94e044800000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_4_0__tab[] = { 0x00, 0x00, 0x80 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_4_0__tab[] = { 0x0000, 0x8000 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_4_0__tab[] = { 0x80000000 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_4_0__tab[] = { UINT64_C(0x8000000000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_4_0__tab[] = { 0x800000000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_4_0__tab[] = { 0x80000000000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_4_0__tab[] = { 0x8000000000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_4_1__tab[] = { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_4_1__tab[] = { 0x0000, 0x0000, 0x0000, 0x0000, 0x8000 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_4_1__tab[] = { 0x00000000, 0x00000000, 0x80000000 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_4_1__tab[] = { UINT64_C(0x0000000000000000), UINT64_C(0x8000000000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_4_1__tab[] = { 0x800000000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_4_1__tab[] = { 0x80000000000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_4_1__tab[] = { 0x8000000000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_5_0__tab[] = { 0x7a, 0x9a, 0x94 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_5_0__tab[] = { 0x7a00, 0x949a }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_5_0__tab[] = { 0x949a7a00 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_5_0__tab[] = { UINT64_C(0x949a7a0000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_5_0__tab[] = { 0x949a7a000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_5_0__tab[] = { 0x949a7a00000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_5_0__tab[] = { 0x949a7a0000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_5_1__tab[] = { 0xb8, 0x67, 0x28, 0x97, 0x7b, 0x28, 0x48, 0xa3, 0x81, 0xdc }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_5_1__tab[] = { 0x67b8, 0x9728, 0x287b, 0xa348, 0xdc81 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_5_1__tab[] = { 0x67b80000, 0x287b9728, 0xdc81a348 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_5_1__tab[] = { UINT64_C(0x67b8000000000000), UINT64_C(0xdc81a348287b9728) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_5_1__tab[] = { 0xdc81a348287b972867b80000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_5_1__tab[] = { 0xdc81a348287b972867b8000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_5_1__tab[] = { 0xdc81a348287b972867b800000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_6_0__tab[] = { 0x08, 0x70, 0xa5 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_6_0__tab[] = { 0x0800, 0xa570 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_6_0__tab[] = { 0xa5700800 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_6_0__tab[] = { UINT64_C(0xa570080000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_6_0__tab[] = { 0xa57008000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_6_0__tab[] = { 0xa5700800000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_6_0__tab[] = { 0xa570080000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_6_1__tab[] = { 0x10, 0xff, 0xe9, 0xf9, 0x54, 0xe0, 0x36, 0x92, 0x11, 0xc6 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_6_1__tab[] = { 0xff10, 0xf9e9, 0xe054, 0x9236, 0xc611 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_6_1__tab[] = { 0xff100000, 0xe054f9e9, 0xc6119236 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_6_1__tab[] = { UINT64_C(0xff10000000000000), UINT64_C(0xc6119236e054f9e9) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_6_1__tab[] = { 0xc6119236e054f9e9ff100000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_6_1__tab[] = { 0xc6119236e054f9e9ff10000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_6_1__tab[] = { 0xc6119236e054f9e9ff1000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_7_0__tab[] = { 0xb4, 0xab, 0xb3 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_7_0__tab[] = { 0xb400, 0xb3ab }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_7_0__tab[] = { 0xb3abb400 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_7_0__tab[] = { UINT64_C(0xb3abb40000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_7_0__tab[] = { 0xb3abb4000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_7_0__tab[] = { 0xb3abb400000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_7_0__tab[] = { 0xb3abb40000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_7_1__tab[] = { 0xb8, 0x37, 0x11, 0xa7, 0x4d, 0x75, 0xd6, 0xc9, 0x60, 0xb6 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_7_1__tab[] = { 0x37b8, 0xa711, 0x754d, 0xc9d6, 0xb660 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_7_1__tab[] = { 0x37b80000, 0x754da711, 0xb660c9d6 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_7_1__tab[] = { UINT64_C(0x37b8000000000000), UINT64_C(0xb660c9d6754da711) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_7_1__tab[] = { 0xb660c9d6754da71137b80000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_7_1__tab[] = { 0xb660c9d6754da71137b8000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_7_1__tab[] = { 0xb660c9d6754da71137b800000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_8_0__tab[] = { 0x00, 0x00, 0xc0 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_8_0__tab[] = { 0x0000, 0xc000 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_8_0__tab[] = { 0xc0000000 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_8_0__tab[] = { UINT64_C(0xc000000000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_8_0__tab[] = { 0xc00000000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_8_0__tab[] = { 0xc0000000000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_8_0__tab[] = { 0xc000000000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_8_1__tab[] = { 0xb0, 0xaa, 0xaa, 0xaa, 0xaa, 0xaa, 0xaa, 0xaa, 0xaa, 0xaa }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_8_1__tab[] = { 0xaab0, 0xaaaa, 0xaaaa, 0xaaaa, 0xaaaa }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_8_1__tab[] = { 0xaab00000, 0xaaaaaaaa, 0xaaaaaaaa }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_8_1__tab[] = { UINT64_C(0xaab0000000000000), UINT64_C(0xaaaaaaaaaaaaaaaa) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_8_1__tab[] = { 0xaaaaaaaaaaaaaaaaaab00000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_8_1__tab[] = { 0xaaaaaaaaaaaaaaaaaab0000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_8_1__tab[] = { 0xaaaaaaaaaaaaaaaaaab000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_9_0__tab[] = { 0x0e, 0xe0, 0xca }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_9_0__tab[] = { 0x0e00, 0xcae0 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_9_0__tab[] = { 0xcae00e00 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_9_0__tab[] = { UINT64_C(0xcae00e0000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_9_0__tab[] = { 0xcae00e000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_9_0__tab[] = { 0xcae00e00000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_9_0__tab[] = { 0xcae00e0000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_9_1__tab[] = { 0x48, 0x04, 0x4e, 0xe9, 0xa9, 0xa9, 0xc1, 0x9c, 0x84, 0xa1 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_9_1__tab[] = { 0x0448, 0xe94e, 0xa9a9, 0x9cc1, 0xa184 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_9_1__tab[] = { 0x04480000, 0xa9a9e94e, 0xa1849cc1 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_9_1__tab[] = { UINT64_C(0x0448000000000000), UINT64_C(0xa1849cc1a9a9e94e) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_9_1__tab[] = { 0xa1849cc1a9a9e94e04480000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_9_1__tab[] = { 0xa1849cc1a9a9e94e0448000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_9_1__tab[] = { 0xa1849cc1a9a9e94e044800000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_10_0__tab[] = { 0x7a, 0x9a, 0xd4 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_10_0__tab[] = { 0x7a00, 0xd49a }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_10_0__tab[] = { 0xd49a7a00 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_10_0__tab[] = { UINT64_C(0xd49a7a0000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_10_0__tab[] = { 0xd49a7a000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_10_0__tab[] = { 0xd49a7a00000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_10_0__tab[] = { 0xd49a7a0000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_10_1__tab[] = { 0x90, 0x8f, 0x98, 0xf7, 0xcf, 0xfb, 0x84, 0x9a, 0x20, 0x9a }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_10_1__tab[] = { 0x8f90, 0xf798, 0xfbcf, 0x9a84, 0x9a20 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_10_1__tab[] = { 0x8f900000, 0xfbcff798, 0x9a209a84 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_10_1__tab[] = { UINT64_C(0x8f90000000000000), UINT64_C(0x9a209a84fbcff798) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_10_1__tab[] = { 0x9a209a84fbcff7988f900000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_10_1__tab[] = { 0x9a209a84fbcff7988f90000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_10_1__tab[] = { 0x9a209a84fbcff7988f9000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_11_0__tab[] = { 0x54, 0x67, 0xdd }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_11_0__tab[] = { 0x5400, 0xdd67 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_11_0__tab[] = { 0xdd675400 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_11_0__tab[] = { UINT64_C(0xdd67540000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_11_0__tab[] = { 0xdd6754000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_11_0__tab[] = { 0xdd675400000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_11_0__tab[] = { 0xdd67540000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_11_1__tab[] = { 0x70, 0xe1, 0x10, 0x9d, 0x22, 0xeb, 0x0e, 0x4e, 0x00, 0x94 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_11_1__tab[] = { 0xe170, 0x9d10, 0xeb22, 0x4e0e, 0x9400 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_11_1__tab[] = { 0xe1700000, 0xeb229d10, 0x94004e0e }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_11_1__tab[] = { UINT64_C(0xe170000000000000), UINT64_C(0x94004e0eeb229d10) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_11_1__tab[] = { 0x94004e0eeb229d10e1700000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_11_1__tab[] = { 0x94004e0eeb229d10e170000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_11_1__tab[] = { 0x94004e0eeb229d10e17000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_12_0__tab[] = { 0x08, 0x70, 0xe5 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_12_0__tab[] = { 0x0800, 0xe570 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_12_0__tab[] = { 0xe5700800 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_12_0__tab[] = { UINT64_C(0xe570080000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_12_0__tab[] = { 0xe57008000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_12_0__tab[] = { 0xe5700800000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_12_0__tab[] = { 0xe570080000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_12_1__tab[] = { 0x28, 0xfe, 0x24, 0x1c, 0x03, 0x0b, 0x1a, 0x9c, 0xd1, 0x8e }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_12_1__tab[] = { 0xfe28, 0x1c24, 0x0b03, 0x9c1a, 0x8ed1 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_12_1__tab[] = { 0xfe280000, 0x0b031c24, 0x8ed19c1a }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_12_1__tab[] = { UINT64_C(0xfe28000000000000), UINT64_C(0x8ed19c1a0b031c24) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_12_1__tab[] = { 0x8ed19c1a0b031c24fe280000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_12_1__tab[] = { 0x8ed19c1a0b031c24fe28000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_12_1__tab[] = { 0x8ed19c1a0b031c24fe2800000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_13_0__tab[] = { 0x02, 0xd4, 0xec }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_13_0__tab[] = { 0x0200, 0xecd4 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_13_0__tab[] = { 0xecd40200 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_13_0__tab[] = { UINT64_C(0xecd4020000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_13_0__tab[] = { 0xecd402000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_13_0__tab[] = { 0xecd40200000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_13_0__tab[] = { 0xecd4020000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_13_1__tab[] = { 0xf8, 0x57, 0xb4, 0xf7, 0x20, 0xcb, 0xc6, 0xa7, 0x5c, 0x8a }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_13_1__tab[] = { 0x57f8, 0xf7b4, 0xcb20, 0xa7c6, 0x8a5c }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_13_1__tab[] = { 0x57f80000, 0xcb20f7b4, 0x8a5ca7c6 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_13_1__tab[] = { UINT64_C(0x57f8000000000000), UINT64_C(0x8a5ca7c6cb20f7b4) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_13_1__tab[] = { 0x8a5ca7c6cb20f7b457f80000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_13_1__tab[] = { 0x8a5ca7c6cb20f7b457f8000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_13_1__tab[] = { 0x8a5ca7c6cb20f7b457f800000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_14_0__tab[] = { 0xb4, 0xab, 0xf3 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_14_0__tab[] = { 0xb400, 0xf3ab }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_14_0__tab[] = { 0xf3abb400 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_14_0__tab[] = { UINT64_C(0xf3abb40000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_14_0__tab[] = { 0xf3abb4000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_14_0__tab[] = { 0xf3abb400000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_14_0__tab[] = { 0xf3abb40000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_14_1__tab[] = { 0xa8, 0x85, 0xab, 0x5c, 0xb5, 0x96, 0xf6, 0xff, 0x79, 0x86 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_14_1__tab[] = { 0x85a8, 0x5cab, 0x96b5, 0xfff6, 0x8679 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_14_1__tab[] = { 0x85a80000, 0x96b55cab, 0x8679fff6 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_14_1__tab[] = { UINT64_C(0x85a8000000000000), UINT64_C(0x8679fff696b55cab) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_14_1__tab[] = { 0x8679fff696b55cab85a80000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_14_1__tab[] = { 0x8679fff696b55cab85a8000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_14_1__tab[] = { 0x8679fff696b55cab85a800000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_15_0__tab[] = { 0x80, 0x0a, 0xfa }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_15_0__tab[] = { 0x8000, 0xfa0a }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_15_0__tab[] = { 0xfa0a8000 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_15_0__tab[] = { UINT64_C(0xfa0a800000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_15_0__tab[] = { 0xfa0a80000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_15_0__tab[] = { 0xfa0a8000000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_15_0__tab[] = { 0xfa0a800000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_15_1__tab[] = { 0x80, 0x6f, 0xaa, 0xa6, 0xf0, 0x69, 0x23, 0xee, 0x0c, 0x83 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_15_1__tab[] = { 0x6f80, 0xa6aa, 0x69f0, 0xee23, 0x830c }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_15_1__tab[] = { 0x6f800000, 0x69f0a6aa, 0x830cee23 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_15_1__tab[] = { UINT64_C(0x6f80000000000000), UINT64_C(0x830cee2369f0a6aa) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_15_1__tab[] = { 0x830cee2369f0a6aa6f800000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_15_1__tab[] = { 0x830cee2369f0a6aa6f80000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_15_1__tab[] = { 0x830cee2369f0a6aa6f8000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_16_0__tab[] = { 0x00, 0x00, 0x80 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_16_0__tab[] = { 0x0000, 0x8000 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_16_0__tab[] = { 0x80000000 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_16_0__tab[] = { UINT64_C(0x8000000000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_16_0__tab[] = { 0x800000000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_16_0__tab[] = { 0x80000000000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_16_0__tab[] = { 0x8000000000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_16_1__tab[] = { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_16_1__tab[] = { 0x0000, 0x0000, 0x0000, 0x0000, 0x8000 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_16_1__tab[] = { 0x00000000, 0x00000000, 0x80000000 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_16_1__tab[] = { UINT64_C(0x0000000000000000), UINT64_C(0x8000000000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_16_1__tab[] = { 0x800000000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_16_1__tab[] = { 0x80000000000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_16_1__tab[] = { 0x8000000000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_17_0__tab[] = { 0x80, 0xcc, 0x82 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_17_0__tab[] = { 0x8000, 0x82cc }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_17_0__tab[] = { 0x82cc8000 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_17_0__tab[] = { UINT64_C(0x82cc800000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_17_0__tab[] = { 0x82cc80000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_17_0__tab[] = { 0x82cc8000000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_17_0__tab[] = { 0x82cc800000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_17_1__tab[] = { 0x20, 0x87, 0x9b, 0x25, 0xc4, 0x62, 0xf5, 0xab, 0x85, 0xfa }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_17_1__tab[] = { 0x8720, 0x259b, 0x62c4, 0xabf5, 0xfa85 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_17_1__tab[] = { 0x87200000, 0x62c4259b, 0xfa85abf5 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_17_1__tab[] = { UINT64_C(0x8720000000000000), UINT64_C(0xfa85abf562c4259b) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_17_1__tab[] = { 0xfa85abf562c4259b87200000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_17_1__tab[] = { 0xfa85abf562c4259b8720000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_17_1__tab[] = { 0xfa85abf562c4259b872000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_18_0__tab[] = { 0x08, 0x70, 0x85 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_18_0__tab[] = { 0x0800, 0x8570 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_18_0__tab[] = { 0x85700800 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_18_0__tab[] = { UINT64_C(0x8570080000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_18_0__tab[] = { 0x857008000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_18_0__tab[] = { 0x85700800000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_18_0__tab[] = { 0x8570080000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_18_1__tab[] = { 0x98, 0x36, 0x78, 0x13, 0x37, 0x55, 0x34, 0x66, 0x91, 0xf5 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_18_1__tab[] = { 0x3698, 0x1378, 0x5537, 0x6634, 0xf591 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_18_1__tab[] = { 0x36980000, 0x55371378, 0xf5916634 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_18_1__tab[] = { UINT64_C(0x3698000000000000), UINT64_C(0xf591663455371378) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_18_1__tab[] = { 0xf59166345537137836980000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_18_1__tab[] = { 0xf5916634553713783698000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_18_1__tab[] = { 0xf591663455371378369800000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_19_0__tab[] = { 0x06, 0xef, 0x87 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_19_0__tab[] = { 0x0600, 0x87ef }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_19_0__tab[] = { 0x87ef0600 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_19_0__tab[] = { UINT64_C(0x87ef060000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_19_0__tab[] = { 0x87ef06000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_19_0__tab[] = { 0x87ef0600000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_19_0__tab[] = { 0x87ef060000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_19_1__tab[] = { 0xb8, 0x0d, 0x8c, 0x55, 0xed, 0x62, 0xc0, 0x08, 0x0f, 0xf1 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_19_1__tab[] = { 0x0db8, 0x558c, 0x62ed, 0x08c0, 0xf10f }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_19_1__tab[] = { 0x0db80000, 0x62ed558c, 0xf10f08c0 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_19_1__tab[] = { UINT64_C(0x0db8000000000000), UINT64_C(0xf10f08c062ed558c) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_19_1__tab[] = { 0xf10f08c062ed558c0db80000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_19_1__tab[] = { 0xf10f08c062ed558c0db8000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_19_1__tab[] = { 0xf10f08c062ed558c0db800000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_20_0__tab[] = { 0x3e, 0x4d, 0x8a }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_20_0__tab[] = { 0x3e00, 0x8a4d }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_20_0__tab[] = { 0x8a4d3e00 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_20_0__tab[] = { UINT64_C(0x8a4d3e0000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_20_0__tab[] = { 0x8a4d3e000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_20_0__tab[] = { 0x8a4d3e00000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_20_0__tab[] = { 0x8a4d3e0000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_20_1__tab[] = { 0x40, 0x0b, 0x1c, 0xa7, 0xc1, 0x1c, 0x0a, 0x69, 0xee, 0xec }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_20_1__tab[] = { 0x0b40, 0xa71c, 0x1cc1, 0x690a, 0xecee }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_20_1__tab[] = { 0x0b400000, 0x1cc1a71c, 0xecee690a }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_20_1__tab[] = { UINT64_C(0x0b40000000000000), UINT64_C(0xecee690a1cc1a71c) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_20_1__tab[] = { 0xecee690a1cc1a71c0b400000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_20_1__tab[] = { 0xecee690a1cc1a71c0b40000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_20_1__tab[] = { 0xecee690a1cc1a71c0b4000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_21_0__tab[] = { 0xde, 0x8d, 0x8c }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_21_0__tab[] = { 0xde00, 0x8c8d }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_21_0__tab[] = { 0x8c8dde00 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_21_0__tab[] = { UINT64_C(0x8c8dde0000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_21_0__tab[] = { 0x8c8dde000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_21_0__tab[] = { 0x8c8dde00000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_21_0__tab[] = { 0x8c8dde0000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_21_1__tab[] = { 0x08, 0x41, 0x26, 0x6b, 0xd0, 0xb3, 0xc1, 0x63, 0x22, 0xe9 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_21_1__tab[] = { 0x4108, 0x6b26, 0xb3d0, 0x63c1, 0xe922 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_21_1__tab[] = { 0x41080000, 0xb3d06b26, 0xe92263c1 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_21_1__tab[] = { UINT64_C(0x4108000000000000), UINT64_C(0xe92263c1b3d06b26) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_21_1__tab[] = { 0xe92263c1b3d06b2641080000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_21_1__tab[] = { 0xe92263c1b3d06b264108000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_21_1__tab[] = { 0xe92263c1b3d06b26410800000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_22_0__tab[] = { 0xaa, 0xb3, 0x8e }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_22_0__tab[] = { 0xaa00, 0x8eb3 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_22_0__tab[] = { 0x8eb3aa00 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_22_0__tab[] = { UINT64_C(0x8eb3aa0000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_22_0__tab[] = { 0x8eb3aa000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_22_0__tab[] = { 0x8eb3aa00000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_22_0__tab[] = { 0x8eb3aa0000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_22_1__tab[] = { 0xe8, 0xdb, 0x61, 0xf0, 0xb9, 0x60, 0x4d, 0x2c, 0xa0, 0xe5 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_22_1__tab[] = { 0xdbe8, 0xf061, 0x60b9, 0x2c4d, 0xe5a0 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_22_1__tab[] = { 0xdbe80000, 0x60b9f061, 0xe5a02c4d }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_22_1__tab[] = { UINT64_C(0xdbe8000000000000), UINT64_C(0xe5a02c4d60b9f061) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_22_1__tab[] = { 0xe5a02c4d60b9f061dbe80000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_22_1__tab[] = { 0xe5a02c4d60b9f061dbe8000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_22_1__tab[] = { 0xe5a02c4d60b9f061dbe800000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_23_0__tab[] = { 0x06, 0xc1, 0x90 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_23_0__tab[] = { 0x0600, 0x90c1 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_23_0__tab[] = { 0x90c10600 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_23_0__tab[] = { UINT64_C(0x90c1060000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_23_0__tab[] = { 0x90c106000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_23_0__tab[] = { 0x90c10600000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_23_0__tab[] = { 0x90c1060000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_23_1__tab[] = { 0xe0, 0xc3, 0x6a, 0x58, 0xb9, 0x46, 0xdd, 0xca, 0x5e, 0xe2 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_23_1__tab[] = { 0xc3e0, 0x586a, 0x46b9, 0xcadd, 0xe25e }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_23_1__tab[] = { 0xc3e00000, 0x46b9586a, 0xe25ecadd }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_23_1__tab[] = { UINT64_C(0xc3e0000000000000), UINT64_C(0xe25ecadd46b9586a) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_23_1__tab[] = { 0xe25ecadd46b9586ac3e00000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_23_1__tab[] = { 0xe25ecadd46b9586ac3e0000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_23_1__tab[] = { 0xe25ecadd46b9586ac3e000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_24_0__tab[] = { 0x04, 0xb8, 0x92 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_24_0__tab[] = { 0x0400, 0x92b8 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_24_0__tab[] = { 0x92b80400 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_24_0__tab[] = { UINT64_C(0x92b8040000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_24_0__tab[] = { 0x92b804000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_24_0__tab[] = { 0x92b80400000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_24_0__tab[] = { 0x92b8040000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_24_1__tab[] = { 0x68, 0x36, 0x63, 0x72, 0xc6, 0xc7, 0x44, 0xbb, 0x56, 0xdf }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_24_1__tab[] = { 0x3668, 0x7263, 0xc7c6, 0xbb44, 0xdf56 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_24_1__tab[] = { 0x36680000, 0xc7c67263, 0xdf56bb44 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_24_1__tab[] = { UINT64_C(0x3668000000000000), UINT64_C(0xdf56bb44c7c67263) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_24_1__tab[] = { 0xdf56bb44c7c6726336680000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_24_1__tab[] = { 0xdf56bb44c7c672633668000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_24_1__tab[] = { 0xdf56bb44c7c67263366800000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_25_0__tab[] = { 0x7a, 0x9a, 0x94 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_25_0__tab[] = { 0x7a00, 0x949a }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_25_0__tab[] = { 0x949a7a00 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_25_0__tab[] = { UINT64_C(0x949a7a0000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_25_0__tab[] = { 0x949a7a000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_25_0__tab[] = { 0x949a7a00000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_25_0__tab[] = { 0x949a7a0000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_25_1__tab[] = { 0xb8, 0x67, 0x28, 0x97, 0x7b, 0x28, 0x48, 0xa3, 0x81, 0xdc }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_25_1__tab[] = { 0x67b8, 0x9728, 0x287b, 0xa348, 0xdc81 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_25_1__tab[] = { 0x67b80000, 0x287b9728, 0xdc81a348 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_25_1__tab[] = { UINT64_C(0x67b8000000000000), UINT64_C(0xdc81a348287b9728) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_25_1__tab[] = { 0xdc81a348287b972867b80000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_25_1__tab[] = { 0xdc81a348287b972867b8000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_25_1__tab[] = { 0xdc81a348287b972867b800000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_26_0__tab[] = { 0x02, 0x6a, 0x96 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_26_0__tab[] = { 0x0200, 0x966a }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_26_0__tab[] = { 0x966a0200 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_26_0__tab[] = { UINT64_C(0x966a020000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_26_0__tab[] = { 0x966a02000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_26_0__tab[] = { 0x966a0200000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_26_0__tab[] = { 0x966a020000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_26_1__tab[] = { 0x58, 0x64, 0xa4, 0x78, 0x83, 0x75, 0xf9, 0x19, 0xda, 0xd9 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_26_1__tab[] = { 0x6458, 0x78a4, 0x7583, 0x19f9, 0xd9da }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_26_1__tab[] = { 0x64580000, 0x758378a4, 0xd9da19f9 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_26_1__tab[] = { UINT64_C(0x6458000000000000), UINT64_C(0xd9da19f9758378a4) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_26_1__tab[] = { 0xd9da19f9758378a464580000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_26_1__tab[] = { 0xd9da19f9758378a46458000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_26_1__tab[] = { 0xd9da19f9758378a4645800000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_27_0__tab[] = { 0x0a, 0x28, 0x98 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_27_0__tab[] = { 0x0a00, 0x9828 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_27_0__tab[] = { 0x98280a00 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_27_0__tab[] = { UINT64_C(0x98280a0000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_27_0__tab[] = { 0x98280a000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_27_0__tab[] = { 0x98280a00000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_27_0__tab[] = { 0x98280a0000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_27_1__tab[] = { 0x08, 0x5b, 0xbd, 0xe1, 0x37, 0xe2, 0xac, 0x7b, 0x5b, 0xd7 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_27_1__tab[] = { 0x5b08, 0xe1bd, 0xe237, 0x7bac, 0xd75b }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_27_1__tab[] = { 0x5b080000, 0xe237e1bd, 0xd75b7bac }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_27_1__tab[] = { UINT64_C(0x5b08000000000000), UINT64_C(0xd75b7bace237e1bd) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_27_1__tab[] = { 0xd75b7bace237e1bd5b080000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_27_1__tab[] = { 0xd75b7bace237e1bd5b08000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_27_1__tab[] = { 0xd75b7bace237e1bd5b0800000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_28_0__tab[] = { 0xda, 0xd5, 0x99 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_28_0__tab[] = { 0xda00, 0x99d5 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_28_0__tab[] = { 0x99d5da00 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_28_0__tab[] = { UINT64_C(0x99d5da0000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_28_0__tab[] = { 0x99d5da000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_28_0__tab[] = { 0x99d5da00000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_28_0__tab[] = { 0x99d5da0000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_28_1__tab[] = { 0xb8, 0xde, 0xb8, 0xe8, 0xdf, 0x71, 0x58, 0xc7, 0x01, 0xd5 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_28_1__tab[] = { 0xdeb8, 0xe8b8, 0x71df, 0xc758, 0xd501 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_28_1__tab[] = { 0xdeb80000, 0x71dfe8b8, 0xd501c758 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_28_1__tab[] = { UINT64_C(0xdeb8000000000000), UINT64_C(0xd501c75871dfe8b8) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_28_1__tab[] = { 0xd501c75871dfe8b8deb80000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_28_1__tab[] = { 0xd501c75871dfe8b8deb8000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_28_1__tab[] = { 0xd501c75871dfe8b8deb800000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_29_0__tab[] = { 0x96, 0x74, 0x9b }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_29_0__tab[] = { 0x9600, 0x9b74 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_29_0__tab[] = { 0x9b749600 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_29_0__tab[] = { UINT64_C(0x9b74960000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_29_0__tab[] = { 0x9b7496000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_29_0__tab[] = { 0x9b749600000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_29_0__tab[] = { 0x9b74960000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_29_1__tab[] = { 0xc8, 0xcc, 0xb3, 0x62, 0x6c, 0x9c, 0x15, 0x83, 0xc9, 0xd2 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_29_1__tab[] = { 0xccc8, 0x62b3, 0x9c6c, 0x8315, 0xd2c9 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_29_1__tab[] = { 0xccc80000, 0x9c6c62b3, 0xd2c98315 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_29_1__tab[] = { UINT64_C(0xccc8000000000000), UINT64_C(0xd2c983159c6c62b3) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_29_1__tab[] = { 0xd2c983159c6c62b3ccc80000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_29_1__tab[] = { 0xd2c983159c6c62b3ccc8000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_29_1__tab[] = { 0xd2c983159c6c62b3ccc800000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_30_0__tab[] = { 0x40, 0x05, 0x9d }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_30_0__tab[] = { 0x4000, 0x9d05 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_30_0__tab[] = { 0x9d054000 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_30_0__tab[] = { UINT64_C(0x9d05400000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_30_0__tab[] = { 0x9d0540000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_30_0__tab[] = { 0x9d054000000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_30_0__tab[] = { 0x9d05400000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_30_1__tab[] = { 0x88, 0x35, 0x32, 0x17, 0xad, 0x5c, 0x19, 0xa6, 0xaf, 0xd0 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_30_1__tab[] = { 0x3588, 0x1732, 0x5cad, 0xa619, 0xd0af }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_30_1__tab[] = { 0x35880000, 0x5cad1732, 0xd0afa619 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_30_1__tab[] = { UINT64_C(0x3588000000000000), UINT64_C(0xd0afa6195cad1732) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_30_1__tab[] = { 0xd0afa6195cad173235880000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_30_1__tab[] = { 0xd0afa6195cad17323588000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_30_1__tab[] = { 0xd0afa6195cad1732358800000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_31_0__tab[] = { 0xc8, 0x88, 0x9e }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_31_0__tab[] = { 0xc800, 0x9e88 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_31_0__tab[] = { 0x9e88c800 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_31_0__tab[] = { UINT64_C(0x9e88c80000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_31_0__tab[] = { 0x9e88c8000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_31_0__tab[] = { 0x9e88c800000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_31_0__tab[] = { 0x9e88c80000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_31_1__tab[] = { 0x78, 0xd5, 0xca, 0xf7, 0xee, 0x63, 0xe6, 0x86, 0xb1, 0xce }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_31_1__tab[] = { 0xd578, 0xf7ca, 0x63ee, 0x86e6, 0xceb1 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_31_1__tab[] = { 0xd5780000, 0x63eef7ca, 0xceb186e6 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_31_1__tab[] = { UINT64_C(0xd578000000000000), UINT64_C(0xceb186e663eef7ca) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_31_1__tab[] = { 0xceb186e663eef7cad5780000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_31_1__tab[] = { 0xceb186e663eef7cad578000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_31_1__tab[] = { 0xceb186e663eef7cad57800000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_32_0__tab[] = { 0x00, 0x00, 0xa0 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_32_0__tab[] = { 0x0000, 0xa000 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_32_0__tab[] = { 0xa0000000 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_32_0__tab[] = { UINT64_C(0xa000000000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_32_0__tab[] = { 0xa00000000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_32_0__tab[] = { 0xa0000000000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_32_0__tab[] = { 0xa000000000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_32_1__tab[] = { 0xd0, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc, 0xcc }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_32_1__tab[] = { 0xccd0, 0xcccc, 0xcccc, 0xcccc, 0xcccc }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_32_1__tab[] = { 0xccd00000, 0xcccccccc, 0xcccccccc }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_32_1__tab[] = { UINT64_C(0xccd0000000000000), UINT64_C(0xcccccccccccccccc) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_32_1__tab[] = { 0xccccccccccccccccccd00000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_32_1__tab[] = { 0xccccccccccccccccccd0000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_32_1__tab[] = { 0xccccccccccccccccccd000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_33_0__tab[] = { 0xae, 0x6b, 0xa1 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_33_0__tab[] = { 0xae00, 0xa16b }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_33_0__tab[] = { 0xa16bae00 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_33_0__tab[] = { UINT64_C(0xa16bae0000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_33_0__tab[] = { 0xa16bae000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_33_0__tab[] = { 0xa16bae00000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_33_0__tab[] = { 0xa16bae0000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_33_1__tab[] = { 0x88, 0x08, 0x87, 0xa1, 0x04, 0x53, 0x04, 0x64, 0xff, 0xca }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_33_1__tab[] = { 0x0888, 0xa187, 0x5304, 0x6404, 0xcaff }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_33_1__tab[] = { 0x08880000, 0x5304a187, 0xcaff6404 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_33_1__tab[] = { UINT64_C(0x0888000000000000), UINT64_C(0xcaff64045304a187) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_33_1__tab[] = { 0xcaff64045304a18708880000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_33_1__tab[] = { 0xcaff64045304a1870888000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_33_1__tab[] = { 0xcaff64045304a187088800000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_34_0__tab[] = { 0x80, 0xcc, 0xa2 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_34_0__tab[] = { 0x8000, 0xa2cc }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_34_0__tab[] = { 0xa2cc8000 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_34_0__tab[] = { UINT64_C(0xa2cc800000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_34_0__tab[] = { 0xa2cc80000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_34_0__tab[] = { 0xa2cc8000000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_34_0__tab[] = { 0xa2cc800000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_34_1__tab[] = { 0x50, 0xfb, 0xca, 0x17, 0x79, 0x5a, 0xd8, 0x73, 0x47, 0xc9 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_34_1__tab[] = { 0xfb50, 0x17ca, 0x5a79, 0x73d8, 0xc947 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_34_1__tab[] = { 0xfb500000, 0x5a7917ca, 0xc94773d8 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_34_1__tab[] = { UINT64_C(0xfb50000000000000), UINT64_C(0xc94773d85a7917ca) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_34_1__tab[] = { 0xc94773d85a7917cafb500000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_34_1__tab[] = { 0xc94773d85a7917cafb50000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_34_1__tab[] = { 0xc94773d85a7917cafb5000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_35_0__tab[] = { 0x18, 0x23, 0xa4 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_35_0__tab[] = { 0x1800, 0xa423 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_35_0__tab[] = { 0xa4231800 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_35_0__tab[] = { UINT64_C(0xa423180000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_35_0__tab[] = { 0xa42318000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_35_0__tab[] = { 0xa4231800000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_35_0__tab[] = { 0xa423180000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_35_1__tab[] = { 0x60, 0x69, 0xc2, 0x18, 0x37, 0x60, 0x7c, 0x56, 0xa3, 0xc7 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_35_1__tab[] = { 0x6960, 0x18c2, 0x6037, 0x567c, 0xc7a3 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_35_1__tab[] = { 0x69600000, 0x603718c2, 0xc7a3567c }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_35_1__tab[] = { UINT64_C(0x6960000000000000), UINT64_C(0xc7a3567c603718c2) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_35_1__tab[] = { 0xc7a3567c603718c269600000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_35_1__tab[] = { 0xc7a3567c603718c26960000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_35_1__tab[] = { 0xc7a3567c603718c2696000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_36_0__tab[] = { 0x08, 0x70, 0xa5 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_36_0__tab[] = { 0x0800, 0xa570 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_36_0__tab[] = { 0xa5700800 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_36_0__tab[] = { UINT64_C(0xa570080000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_36_0__tab[] = { 0xa57008000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_36_0__tab[] = { 0xa5700800000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_36_0__tab[] = { 0xa570080000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_36_1__tab[] = { 0x10, 0xff, 0xe9, 0xf9, 0x54, 0xe0, 0x36, 0x92, 0x11, 0xc6 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_36_1__tab[] = { 0xff10, 0xf9e9, 0xe054, 0x9236, 0xc611 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_36_1__tab[] = { 0xff100000, 0xe054f9e9, 0xc6119236 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_36_1__tab[] = { UINT64_C(0xff10000000000000), UINT64_C(0xc6119236e054f9e9) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_36_1__tab[] = { 0xc6119236e054f9e9ff100000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_36_1__tab[] = { 0xc6119236e054f9e9ff10000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_36_1__tab[] = { 0xc6119236e054f9e9ff1000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_37_0__tab[] = { 0xd8, 0xb3, 0xa6 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_37_0__tab[] = { 0xd800, 0xa6b3 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_37_0__tab[] = { 0xa6b3d800 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_37_0__tab[] = { UINT64_C(0xa6b3d80000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_37_0__tab[] = { 0xa6b3d8000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_37_0__tab[] = { 0xa6b3d800000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_37_0__tab[] = { 0xa6b3d80000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_37_1__tab[] = { 0x18, 0x16, 0x36, 0x6b, 0xd7, 0x70, 0xa2, 0xd3, 0x90, 0xc4 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_37_1__tab[] = { 0x1618, 0x6b36, 0x70d7, 0xd3a2, 0xc490 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_37_1__tab[] = { 0x16180000, 0x70d76b36, 0xc490d3a2 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_37_1__tab[] = { UINT64_C(0x1618000000000000), UINT64_C(0xc490d3a270d76b36) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_37_1__tab[] = { 0xc490d3a270d76b3616180000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_37_1__tab[] = { 0xc490d3a270d76b361618000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_37_1__tab[] = { 0xc490d3a270d76b36161800000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_38_0__tab[] = { 0x06, 0xef, 0xa7 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_38_0__tab[] = { 0x0600, 0xa7ef }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_38_0__tab[] = { 0xa7ef0600 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_38_0__tab[] = { UINT64_C(0xa7ef060000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_38_0__tab[] = { 0xa7ef06000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_38_0__tab[] = { 0xa7ef0600000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_38_0__tab[] = { 0xa7ef060000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_38_1__tab[] = { 0xe0, 0xa3, 0x05, 0x95, 0x82, 0x51, 0xd2, 0xe8, 0x1f, 0xc3 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_38_1__tab[] = { 0xa3e0, 0x9505, 0x5182, 0xe8d2, 0xc31f }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_38_1__tab[] = { 0xa3e00000, 0x51829505, 0xc31fe8d2 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_38_1__tab[] = { UINT64_C(0xa3e0000000000000), UINT64_C(0xc31fe8d251829505) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_38_1__tab[] = { 0xc31fe8d251829505a3e00000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_38_1__tab[] = { 0xc31fe8d251829505a3e0000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_38_1__tab[] = { 0xc31fe8d251829505a3e000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_39_0__tab[] = { 0x04, 0x22, 0xa9 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_39_0__tab[] = { 0x0400, 0xa922 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_39_0__tab[] = { 0xa9220400 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_39_0__tab[] = { UINT64_C(0xa922040000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_39_0__tab[] = { 0xa92204000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_39_0__tab[] = { 0xa9220400000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_39_0__tab[] = { 0xa922040000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_39_1__tab[] = { 0xf8, 0xfc, 0xb5, 0xf1, 0xca, 0x10, 0x32, 0xbd, 0xbd, 0xc1 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_39_1__tab[] = { 0xfcf8, 0xf1b5, 0x10ca, 0xbd32, 0xc1bd }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_39_1__tab[] = { 0xfcf80000, 0x10caf1b5, 0xc1bdbd32 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_39_1__tab[] = { UINT64_C(0xfcf8000000000000), UINT64_C(0xc1bdbd3210caf1b5) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_39_1__tab[] = { 0xc1bdbd3210caf1b5fcf80000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_39_1__tab[] = { 0xc1bdbd3210caf1b5fcf8000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_39_1__tab[] = { 0xc1bdbd3210caf1b5fcf800000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_40_0__tab[] = { 0x3e, 0x4d, 0xaa }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_40_0__tab[] = { 0x3e00, 0xaa4d }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_40_0__tab[] = { 0xaa4d3e00 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_40_0__tab[] = { UINT64_C(0xaa4d3e0000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_40_0__tab[] = { 0xaa4d3e000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_40_0__tab[] = { 0xaa4d3e00000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_40_0__tab[] = { 0xaa4d3e0000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_40_1__tab[] = { 0xe8, 0xdc, 0x48, 0x49, 0xf7, 0xef, 0xff, 0x55, 0x69, 0xc0 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_40_1__tab[] = { 0xdce8, 0x4948, 0xeff7, 0x55ff, 0xc069 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_40_1__tab[] = { 0xdce80000, 0xeff74948, 0xc06955ff }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_40_1__tab[] = { UINT64_C(0xdce8000000000000), UINT64_C(0xc06955ffeff74948) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_40_1__tab[] = { 0xc06955ffeff74948dce80000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_40_1__tab[] = { 0xc06955ffeff74948dce8000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_40_1__tab[] = { 0xc06955ffeff74948dce800000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_41_0__tab[] = { 0x12, 0x71, 0xab }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_41_0__tab[] = { 0x1200, 0xab71 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_41_0__tab[] = { 0xab711200 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_41_0__tab[] = { UINT64_C(0xab71120000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_41_0__tab[] = { 0xab7112000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_41_0__tab[] = { 0xab711200000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_41_0__tab[] = { 0xab71120000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_41_1__tab[] = { 0x28, 0xdc, 0xef, 0x7c, 0x95, 0xf6, 0x47, 0xcf, 0x21, 0xbf }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_41_1__tab[] = { 0xdc28, 0x7cef, 0xf695, 0xcf47, 0xbf21 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_41_1__tab[] = { 0xdc280000, 0xf6957cef, 0xbf21cf47 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_41_1__tab[] = { UINT64_C(0xdc28000000000000), UINT64_C(0xbf21cf47f6957cef) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_41_1__tab[] = { 0xbf21cf47f6957cefdc280000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_41_1__tab[] = { 0xbf21cf47f6957cefdc28000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_41_1__tab[] = { 0xbf21cf47f6957cefdc2800000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_42_0__tab[] = { 0xde, 0x8d, 0xac }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_42_0__tab[] = { 0xde00, 0xac8d }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_42_0__tab[] = { 0xac8dde00 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_42_0__tab[] = { UINT64_C(0xac8dde0000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_42_0__tab[] = { 0xac8dde000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_42_0__tab[] = { 0xac8dde00000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_42_0__tab[] = { 0xac8dde0000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_42_1__tab[] = { 0x10, 0xba, 0x25, 0x71, 0x9b, 0x93, 0x4a, 0x59, 0xe6, 0xbd }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_42_1__tab[] = { 0xba10, 0x7125, 0x939b, 0x594a, 0xbde6 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_42_1__tab[] = { 0xba100000, 0x939b7125, 0xbde6594a }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_42_1__tab[] = { UINT64_C(0xba10000000000000), UINT64_C(0xbde6594a939b7125) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_42_1__tab[] = { 0xbde6594a939b7125ba100000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_42_1__tab[] = { 0xbde6594a939b7125ba10000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_42_1__tab[] = { 0xbde6594a939b7125ba1000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_43_0__tab[] = { 0xf6, 0xa3, 0xad }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_43_0__tab[] = { 0xf600, 0xada3 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_43_0__tab[] = { 0xada3f600 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_43_0__tab[] = { UINT64_C(0xada3f60000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_43_0__tab[] = { 0xada3f6000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_43_0__tab[] = { 0xada3f600000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_43_0__tab[] = { 0xada3f60000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_43_1__tab[] = { 0x60, 0x95, 0xb5, 0x2a, 0x18, 0x91, 0x3d, 0x36, 0xb6, 0xbc }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_43_1__tab[] = { 0x9560, 0x2ab5, 0x9118, 0x363d, 0xbcb6 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_43_1__tab[] = { 0x95600000, 0x91182ab5, 0xbcb6363d }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_43_1__tab[] = { UINT64_C(0x9560000000000000), UINT64_C(0xbcb6363d91182ab5) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_43_1__tab[] = { 0xbcb6363d91182ab595600000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_43_1__tab[] = { 0xbcb6363d91182ab59560000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_43_1__tab[] = { 0xbcb6363d91182ab5956000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_44_0__tab[] = { 0xaa, 0xb3, 0xae }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_44_0__tab[] = { 0xaa00, 0xaeb3 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_44_0__tab[] = { 0xaeb3aa00 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_44_0__tab[] = { UINT64_C(0xaeb3aa0000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_44_0__tab[] = { 0xaeb3aa000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_44_0__tab[] = { 0xaeb3aa00000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_44_0__tab[] = { 0xaeb3aa0000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_44_1__tab[] = { 0x90, 0x15, 0x90, 0x4e, 0x3d, 0x3a, 0x59, 0xb8, 0x90, 0xbb }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_44_1__tab[] = { 0x1590, 0x4e90, 0x3a3d, 0xb859, 0xbb90 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_44_1__tab[] = { 0x15900000, 0x3a3d4e90, 0xbb90b859 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_44_1__tab[] = { UINT64_C(0x1590000000000000), UINT64_C(0xbb90b8593a3d4e90) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_44_1__tab[] = { 0xbb90b8593a3d4e9015900000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_44_1__tab[] = { 0xbb90b8593a3d4e901590000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_44_1__tab[] = { 0xbb90b8593a3d4e90159000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_45_0__tab[] = { 0x44, 0xbd, 0xaf }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_45_0__tab[] = { 0x4400, 0xafbd }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_45_0__tab[] = { 0xafbd4400 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_45_0__tab[] = { UINT64_C(0xafbd440000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_45_0__tab[] = { 0xafbd44000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_45_0__tab[] = { 0xafbd4400000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_45_0__tab[] = { 0xafbd440000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_45_1__tab[] = { 0x78, 0x1e, 0xf5, 0x76, 0x10, 0x10, 0x26, 0x40, 0x75, 0xba }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_45_1__tab[] = { 0x1e78, 0x76f5, 0x1010, 0x4026, 0xba75 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_45_1__tab[] = { 0x1e780000, 0x101076f5, 0xba754026 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_45_1__tab[] = { UINT64_C(0x1e78000000000000), UINT64_C(0xba754026101076f5) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_45_1__tab[] = { 0xba754026101076f51e780000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_45_1__tab[] = { 0xba754026101076f51e78000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_45_1__tab[] = { 0xba754026101076f51e7800000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_46_0__tab[] = { 0x06, 0xc1, 0xb0 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_46_0__tab[] = { 0x0600, 0xb0c1 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_46_0__tab[] = { 0xb0c10600 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_46_0__tab[] = { UINT64_C(0xb0c1060000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_46_0__tab[] = { 0xb0c106000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_46_0__tab[] = { 0xb0c10600000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_46_0__tab[] = { 0xb0c1060000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_46_1__tab[] = { 0x70, 0xb6, 0x12, 0x05, 0xaa, 0x69, 0x01, 0x3b, 0x63, 0xb9 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_46_1__tab[] = { 0xb670, 0x0512, 0x69aa, 0x3b01, 0xb963 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_46_1__tab[] = { 0xb6700000, 0x69aa0512, 0xb9633b01 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_46_1__tab[] = { UINT64_C(0xb670000000000000), UINT64_C(0xb9633b0169aa0512) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_46_1__tab[] = { 0xb9633b0169aa0512b6700000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_46_1__tab[] = { 0xb9633b0169aa0512b670000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_46_1__tab[] = { 0xb9633b0169aa0512b67000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_47_0__tab[] = { 0x32, 0xbf, 0xb1 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_47_0__tab[] = { 0x3200, 0xb1bf }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_47_0__tab[] = { 0xb1bf3200 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_47_0__tab[] = { UINT64_C(0xb1bf320000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_47_0__tab[] = { 0xb1bf32000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_47_0__tab[] = { 0xb1bf3200000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_47_0__tab[] = { 0xb1bf320000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_47_1__tab[] = { 0x18, 0x51, 0x33, 0x41, 0xe4, 0xfb, 0xd0, 0x21, 0x5a, 0xb8 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_47_1__tab[] = { 0x5118, 0x4133, 0xfbe4, 0x21d0, 0xb85a }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_47_1__tab[] = { 0x51180000, 0xfbe44133, 0xb85a21d0 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_47_1__tab[] = { UINT64_C(0x5118000000000000), UINT64_C(0xb85a21d0fbe44133) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_47_1__tab[] = { 0xb85a21d0fbe4413351180000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_47_1__tab[] = { 0xb85a21d0fbe441335118000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_47_1__tab[] = { 0xb85a21d0fbe44133511800000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_48_0__tab[] = { 0x04, 0xb8, 0xb2 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_48_0__tab[] = { 0x0400, 0xb2b8 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_48_0__tab[] = { 0xb2b80400 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_48_0__tab[] = { UINT64_C(0xb2b8040000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_48_0__tab[] = { 0xb2b804000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_48_0__tab[] = { 0xb2b80400000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_48_0__tab[] = { 0xb2b8040000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_48_1__tab[] = { 0x90, 0x04, 0x3d, 0x66, 0x0d, 0x96, 0xde, 0x77, 0x59, 0xb7 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_48_1__tab[] = { 0x0490, 0x663d, 0x960d, 0x77de, 0xb759 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_48_1__tab[] = { 0x04900000, 0x960d663d, 0xb75977de }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_48_1__tab[] = { UINT64_C(0x0490000000000000), UINT64_C(0xb75977de960d663d) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_48_1__tab[] = { 0xb75977de960d663d04900000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_48_1__tab[] = { 0xb75977de960d663d0490000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_48_1__tab[] = { 0xb75977de960d663d049000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_49_0__tab[] = { 0xb4, 0xab, 0xb3 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_49_0__tab[] = { 0xb400, 0xb3ab }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_49_0__tab[] = { 0xb3abb400 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_49_0__tab[] = { UINT64_C(0xb3abb40000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_49_0__tab[] = { 0xb3abb4000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_49_0__tab[] = { 0xb3abb400000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_49_0__tab[] = { 0xb3abb40000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_49_1__tab[] = { 0xb8, 0x37, 0x11, 0xa7, 0x4d, 0x75, 0xd6, 0xc9, 0x60, 0xb6 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_49_1__tab[] = { 0x37b8, 0xa711, 0x754d, 0xc9d6, 0xb660 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_49_1__tab[] = { 0x37b80000, 0x754da711, 0xb660c9d6 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_49_1__tab[] = { UINT64_C(0x37b8000000000000), UINT64_C(0xb660c9d6754da711) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_49_1__tab[] = { 0xb660c9d6754da71137b80000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_49_1__tab[] = { 0xb660c9d6754da71137b8000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_49_1__tab[] = { 0xb660c9d6754da71137b800000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_50_0__tab[] = { 0x7a, 0x9a, 0xb4 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_50_0__tab[] = { 0x7a00, 0xb49a }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_50_0__tab[] = { 0xb49a7a00 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_50_0__tab[] = { UINT64_C(0xb49a7a0000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_50_0__tab[] = { 0xb49a7a000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_50_0__tab[] = { 0xb49a7a00000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_50_0__tab[] = { 0xb49a7a0000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_50_1__tab[] = { 0xf0, 0x27, 0x32, 0xe5, 0x44, 0x73, 0xe3, 0xac, 0x6f, 0xb5 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_50_1__tab[] = { 0x27f0, 0xe532, 0x7344, 0xace3, 0xb56f }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_50_1__tab[] = { 0x27f00000, 0x7344e532, 0xb56face3 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_50_1__tab[] = { UINT64_C(0x27f0000000000000), UINT64_C(0xb56face37344e532) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_50_1__tab[] = { 0xb56face37344e53227f00000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_50_1__tab[] = { 0xb56face37344e53227f0000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_50_1__tab[] = { 0xb56face37344e53227f000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_51_0__tab[] = { 0x84, 0x84, 0xb5 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_51_0__tab[] = { 0x8400, 0xb584 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_51_0__tab[] = { 0xb5848400 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_51_0__tab[] = { UINT64_C(0xb584840000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_51_0__tab[] = { 0xb58484000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_51_0__tab[] = { 0xb5848400000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_51_0__tab[] = { 0xb584840000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_51_1__tab[] = { 0x00, 0x40, 0xa9, 0xe9, 0x8a, 0x0f, 0xe5, 0xbd, 0x85, 0xb4 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_51_1__tab[] = { 0x4000, 0xe9a9, 0x0f8a, 0xbde5, 0xb485 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_51_1__tab[] = { 0x40000000, 0x0f8ae9a9, 0xb485bde5 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_51_1__tab[] = { UINT64_C(0x4000000000000000), UINT64_C(0xb485bde50f8ae9a9) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_51_1__tab[] = { 0xb485bde50f8ae9a940000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_51_1__tab[] = { 0xb485bde50f8ae9a94000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_51_1__tab[] = { 0xb485bde50f8ae9a9400000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_52_0__tab[] = { 0x02, 0x6a, 0xb6 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_52_0__tab[] = { 0x0200, 0xb66a }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_52_0__tab[] = { 0xb66a0200 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_52_0__tab[] = { UINT64_C(0xb66a020000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_52_0__tab[] = { 0xb66a02000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_52_0__tab[] = { 0xb66a0200000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_52_0__tab[] = { 0xb66a020000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_52_1__tab[] = { 0x08, 0x46, 0xb3, 0xfc, 0xcf, 0xee, 0xbb, 0xa0, 0xa2, 0xb3 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_52_1__tab[] = { 0x4608, 0xfcb3, 0xeecf, 0xa0bb, 0xb3a2 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_52_1__tab[] = { 0x46080000, 0xeecffcb3, 0xb3a2a0bb }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_52_1__tab[] = { UINT64_C(0x4608000000000000), UINT64_C(0xb3a2a0bbeecffcb3) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_52_1__tab[] = { 0xb3a2a0bbeecffcb346080000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_52_1__tab[] = { 0xb3a2a0bbeecffcb34608000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_52_1__tab[] = { 0xb3a2a0bbeecffcb3460800000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_53_0__tab[] = { 0x20, 0x4b, 0xb7 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_53_0__tab[] = { 0x2000, 0xb74b }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_53_0__tab[] = { 0xb74b2000 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_53_0__tab[] = { UINT64_C(0xb74b200000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_53_0__tab[] = { 0xb74b20000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_53_0__tab[] = { 0xb74b2000000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_53_0__tab[] = { 0xb74b200000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_53_1__tab[] = { 0x60, 0xa3, 0xcb, 0x8c, 0x5f, 0xeb, 0xa9, 0xff, 0xc5, 0xb2 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_53_1__tab[] = { 0xa360, 0x8ccb, 0xeb5f, 0xffa9, 0xb2c5 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_53_1__tab[] = { 0xa3600000, 0xeb5f8ccb, 0xb2c5ffa9 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_53_1__tab[] = { UINT64_C(0xa360000000000000), UINT64_C(0xb2c5ffa9eb5f8ccb) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_53_1__tab[] = { 0xb2c5ffa9eb5f8ccba3600000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_53_1__tab[] = { 0xb2c5ffa9eb5f8ccba360000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_53_1__tab[] = { 0xb2c5ffa9eb5f8ccba36000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_54_0__tab[] = { 0x0a, 0x28, 0xb8 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_54_0__tab[] = { 0x0a00, 0xb828 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_54_0__tab[] = { 0xb8280a00 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_54_0__tab[] = { UINT64_C(0xb8280a0000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_54_0__tab[] = { 0xb8280a000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_54_0__tab[] = { 0xb8280a00000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_54_0__tab[] = { 0xb8280a0000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_54_1__tab[] = { 0x68, 0xf3, 0x40, 0xe9, 0x86, 0x3e, 0xc3, 0x8a, 0xef, 0xb1 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_54_1__tab[] = { 0xf368, 0xe940, 0x3e86, 0x8ac3, 0xb1ef }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_54_1__tab[] = { 0xf3680000, 0x3e86e940, 0xb1ef8ac3 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_54_1__tab[] = { UINT64_C(0xf368000000000000), UINT64_C(0xb1ef8ac33e86e940) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_54_1__tab[] = { 0xb1ef8ac33e86e940f3680000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_54_1__tab[] = { 0xb1ef8ac33e86e940f368000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_54_1__tab[] = { 0xb1ef8ac33e86e940f36800000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_55_0__tab[] = { 0xe8, 0x00, 0xb9 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_55_0__tab[] = { 0xe800, 0xb900 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_55_0__tab[] = { 0xb900e800 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_55_0__tab[] = { UINT64_C(0xb900e80000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_55_0__tab[] = { 0xb900e8000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_55_0__tab[] = { 0xb900e800000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_55_0__tab[] = { 0xb900e80000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_55_1__tab[] = { 0x40, 0x7a, 0x8e, 0xd1, 0xb5, 0xa4, 0x6e, 0xf7, 0x1e, 0xb1 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_55_1__tab[] = { 0x7a40, 0xd18e, 0xa4b5, 0xf76e, 0xb11e }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_55_1__tab[] = { 0x7a400000, 0xa4b5d18e, 0xb11ef76e }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_55_1__tab[] = { UINT64_C(0x7a40000000000000), UINT64_C(0xb11ef76ea4b5d18e) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_55_1__tab[] = { 0xb11ef76ea4b5d18e7a400000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_55_1__tab[] = { 0xb11ef76ea4b5d18e7a40000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_55_1__tab[] = { 0xb11ef76ea4b5d18e7a4000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_56_0__tab[] = { 0xda, 0xd5, 0xb9 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_56_0__tab[] = { 0xda00, 0xb9d5 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_56_0__tab[] = { 0xb9d5da00 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_56_0__tab[] = { UINT64_C(0xb9d5da0000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_56_0__tab[] = { 0xb9d5da000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_56_0__tab[] = { 0xb9d5da00000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_56_0__tab[] = { 0xb9d5da0000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_56_1__tab[] = { 0x18, 0xe8, 0x7b, 0x4c, 0x2c, 0xaa, 0xf2, 0xff, 0x53, 0xb0 }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_56_1__tab[] = { 0xe818, 0x4c7b, 0xaa2c, 0xfff2, 0xb053 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_56_1__tab[] = { 0xe8180000, 0xaa2c4c7b, 0xb053fff2 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_56_1__tab[] = { UINT64_C(0xe818000000000000), UINT64_C(0xb053fff2aa2c4c7b) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_56_1__tab[] = { 0xb053fff2aa2c4c7be8180000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_56_1__tab[] = { 0xb053fff2aa2c4c7be818000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_56_1__tab[] = { 0xb053fff2aa2c4c7be81800000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_57_0__tab[] = { 0x0a, 0xa7, 0xba }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_57_0__tab[] = { 0x0a00, 0xbaa7 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_57_0__tab[] = { 0xbaa70a00 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_57_0__tab[] = { UINT64_C(0xbaa70a0000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_57_0__tab[] = { 0xbaa70a000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_57_0__tab[] = { 0xbaa70a00000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_57_0__tab[] = { 0xbaa70a0000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_57_1__tab[] = { 0xb0, 0xef, 0x4f, 0x81, 0x2f, 0x8e, 0x0e, 0x63, 0x8e, 0xaf }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_57_1__tab[] = { 0xefb0, 0x814f, 0x8e2f, 0x630e, 0xaf8e }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_57_1__tab[] = { 0xefb00000, 0x8e2f814f, 0xaf8e630e }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_57_1__tab[] = { UINT64_C(0xefb0000000000000), UINT64_C(0xaf8e630e8e2f814f) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_57_1__tab[] = { 0xaf8e630e8e2f814fefb00000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_57_1__tab[] = { 0xaf8e630e8e2f814fefb0000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_57_1__tab[] = { 0xaf8e630e8e2f814fefb000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_58_0__tab[] = { 0x96, 0x74, 0xbb }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_58_0__tab[] = { 0x9600, 0xbb74 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_58_0__tab[] = { 0xbb749600 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_58_0__tab[] = { UINT64_C(0xbb74960000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_58_0__tab[] = { 0xbb7496000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_58_0__tab[] = { 0xbb749600000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_58_0__tab[] = { 0xbb74960000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_58_1__tab[] = { 0x18, 0x5d, 0xa1, 0x41, 0x14, 0x61, 0x9d, 0xe3, 0xcd, 0xae }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_58_1__tab[] = { 0x5d18, 0x41a1, 0x6114, 0xe39d, 0xaecd }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_58_1__tab[] = { 0x5d180000, 0x611441a1, 0xaecde39d }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_58_1__tab[] = { UINT64_C(0x5d18000000000000), UINT64_C(0xaecde39d611441a1) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_58_1__tab[] = { 0xaecde39d611441a15d180000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_58_1__tab[] = { 0xaecde39d611441a15d18000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_58_1__tab[] = { 0xaecde39d611441a15d1800000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_59_0__tab[] = { 0x9e, 0x3e, 0xbc }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_59_0__tab[] = { 0x9e00, 0xbc3e }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_59_0__tab[] = { 0xbc3e9e00 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_59_0__tab[] = { UINT64_C(0xbc3e9e0000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_59_0__tab[] = { 0xbc3e9e000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_59_0__tab[] = { 0xbc3e9e00000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_59_0__tab[] = { 0xbc3e9e0000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_59_1__tab[] = { 0x00, 0xd0, 0xdf, 0x97, 0x97, 0x2f, 0x42, 0x48, 0x12, 0xae }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_59_1__tab[] = { 0xd000, 0x97df, 0x2f97, 0x4842, 0xae12 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_59_1__tab[] = { 0xd0000000, 0x2f9797df, 0xae124842 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_59_1__tab[] = { UINT64_C(0xd000000000000000), UINT64_C(0xae1248422f9797df) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_59_1__tab[] = { 0xae1248422f9797dfd0000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_59_1__tab[] = { 0xae1248422f9797dfd000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_59_1__tab[] = { 0xae1248422f9797dfd00000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_60_0__tab[] = { 0x40, 0x05, 0xbd }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_60_0__tab[] = { 0x4000, 0xbd05 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_60_0__tab[] = { 0xbd054000 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_60_0__tab[] = { UINT64_C(0xbd05400000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_60_0__tab[] = { 0xbd0540000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_60_0__tab[] = { 0xbd054000000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_60_0__tab[] = { 0xbd05400000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_60_1__tab[] = { 0x58, 0xfe, 0x6d, 0x20, 0x55, 0x35, 0x1c, 0x5b, 0x5b, 0xad }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_60_1__tab[] = { 0xfe58, 0x206d, 0x3555, 0x5b1c, 0xad5b }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_60_1__tab[] = { 0xfe580000, 0x3555206d, 0xad5b5b1c }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_60_1__tab[] = { UINT64_C(0xfe58000000000000), UINT64_C(0xad5b5b1c3555206d) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_60_1__tab[] = { 0xad5b5b1c3555206dfe580000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_60_1__tab[] = { 0xad5b5b1c3555206dfe58000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_60_1__tab[] = { 0xad5b5b1c3555206dfe5800000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_61_0__tab[] = { 0x9a, 0xc8, 0xbd }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_61_0__tab[] = { 0x9a00, 0xbdc8 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_61_0__tab[] = { 0xbdc89a00 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_61_0__tab[] = { UINT64_C(0xbdc89a0000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_61_0__tab[] = { 0xbdc89a000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_61_0__tab[] = { 0xbdc89a00000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_61_0__tab[] = { 0xbdc89a0000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_61_1__tab[] = { 0xf8, 0x4d, 0x57, 0x77, 0xcb, 0x31, 0x82, 0xe9, 0xa8, 0xac }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_61_1__tab[] = { 0x4df8, 0x7757, 0x31cb, 0xe982, 0xaca8 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_61_1__tab[] = { 0x4df80000, 0x31cb7757, 0xaca8e982 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_61_1__tab[] = { UINT64_C(0x4df8000000000000), UINT64_C(0xaca8e98231cb7757) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_61_1__tab[] = { 0xaca8e98231cb77574df80000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_61_1__tab[] = { 0xaca8e98231cb77574df8000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_61_1__tab[] = { 0xaca8e98231cb77574df800000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_62_0__tab[] = { 0xc8, 0x88, 0xbe }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_62_0__tab[] = { 0xc800, 0xbe88 }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_62_0__tab[] = { 0xbe88c800 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_62_0__tab[] = { UINT64_C(0xbe88c80000000000) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_62_0__tab[] = { 0xbe88c8000000000000000000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_62_0__tab[] = { 0xbe88c800000000000000000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_62_0__tab[] = { 0xbe88c80000000000000000000000000000000000000000000000000000000000 }; #endif #if 0 #elif GMP_NUMB_BITS == 8 const mp_limb_t mpfr_l2b_62_1__tab[] = { 0xf8, 0x74, 0x05, 0xf9, 0x31, 0x18, 0xc4, 0xc3, 0xfa, 0xab }; #elif GMP_NUMB_BITS == 16 const mp_limb_t mpfr_l2b_62_1__tab[] = { 0x74f8, 0xf905, 0x1831, 0xc3c4, 0xabfa }; #elif GMP_NUMB_BITS == 32 const mp_limb_t mpfr_l2b_62_1__tab[] = { 0x74f80000, 0x1831f905, 0xabfac3c4 }; #elif GMP_NUMB_BITS == 64 const mp_limb_t mpfr_l2b_62_1__tab[] = { UINT64_C(0x74f8000000000000), UINT64_C(0xabfac3c41831f905) }; #elif GMP_NUMB_BITS == 96 const mp_limb_t mpfr_l2b_62_1__tab[] = { 0xabfac3c41831f90574f80000 }; #elif GMP_NUMB_BITS == 128 const mp_limb_t mpfr_l2b_62_1__tab[] = { 0xabfac3c41831f90574f8000000000000 }; #elif GMP_NUMB_BITS == 256 const mp_limb_t mpfr_l2b_62_1__tab[] = { 0xabfac3c41831f90574f800000000000000000000000000000000000000000000 }; #endif const __mpfr_struct __gmpfr_l2b[BASE_MAX-1][2] = { { { 23, 1, 1, (mp_limb_t *) mpfr_l2b_2_0__tab }, { 77, 1, 1, (mp_limb_t *) mpfr_l2b_2_1__tab } }, { { 23, 1, 1, (mp_limb_t *) mpfr_l2b_3_0__tab }, { 77, 1, 0, (mp_limb_t *) mpfr_l2b_3_1__tab } }, { { 23, 1, 2, (mp_limb_t *) mpfr_l2b_4_0__tab }, { 77, 1, 0, (mp_limb_t *) mpfr_l2b_4_1__tab } }, { { 23, 1, 2, (mp_limb_t *) mpfr_l2b_5_0__tab }, { 77, 1, -1, (mp_limb_t *) mpfr_l2b_5_1__tab } }, { { 23, 1, 2, (mp_limb_t *) mpfr_l2b_6_0__tab }, { 77, 1, -1, (mp_limb_t *) mpfr_l2b_6_1__tab } }, { { 23, 1, 2, (mp_limb_t *) mpfr_l2b_7_0__tab }, { 77, 1, -1, (mp_limb_t *) mpfr_l2b_7_1__tab } }, { { 23, 1, 2, (mp_limb_t *) mpfr_l2b_8_0__tab }, { 77, 1, -1, (mp_limb_t *) mpfr_l2b_8_1__tab } }, { { 23, 1, 2, (mp_limb_t *) mpfr_l2b_9_0__tab }, { 77, 1, -1, (mp_limb_t *) mpfr_l2b_9_1__tab } }, { { 23, 1, 2, (mp_limb_t *) mpfr_l2b_10_0__tab }, { 77, 1, -1, (mp_limb_t *) mpfr_l2b_10_1__tab } }, { { 23, 1, 2, (mp_limb_t *) mpfr_l2b_11_0__tab }, { 77, 1, -1, (mp_limb_t *) mpfr_l2b_11_1__tab } }, { { 23, 1, 2, (mp_limb_t *) mpfr_l2b_12_0__tab }, { 77, 1, -1, (mp_limb_t *) mpfr_l2b_12_1__tab } }, { { 23, 1, 2, (mp_limb_t *) mpfr_l2b_13_0__tab }, { 77, 1, -1, (mp_limb_t *) mpfr_l2b_13_1__tab } }, { { 23, 1, 2, (mp_limb_t *) mpfr_l2b_14_0__tab }, { 77, 1, -1, (mp_limb_t *) mpfr_l2b_14_1__tab } }, { { 23, 1, 2, (mp_limb_t *) mpfr_l2b_15_0__tab }, { 77, 1, -1, (mp_limb_t *) mpfr_l2b_15_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_16_0__tab }, { 77, 1, -1, (mp_limb_t *) mpfr_l2b_16_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_17_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_17_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_18_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_18_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_19_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_19_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_20_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_20_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_21_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_21_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_22_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_22_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_23_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_23_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_24_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_24_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_25_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_25_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_26_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_26_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_27_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_27_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_28_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_28_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_29_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_29_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_30_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_30_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_31_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_31_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_32_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_32_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_33_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_33_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_34_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_34_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_35_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_35_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_36_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_36_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_37_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_37_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_38_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_38_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_39_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_39_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_40_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_40_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_41_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_41_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_42_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_42_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_43_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_43_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_44_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_44_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_45_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_45_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_46_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_46_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_47_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_47_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_48_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_48_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_49_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_49_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_50_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_50_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_51_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_51_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_52_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_52_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_53_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_53_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_54_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_54_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_55_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_55_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_56_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_56_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_57_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_57_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_58_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_58_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_59_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_59_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_60_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_60_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_61_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_61_1__tab } }, { { 23, 1, 3, (mp_limb_t *) mpfr_l2b_62_0__tab }, { 77, 1, -2, (mp_limb_t *) mpfr_l2b_62_1__tab } } }; /***************************************************************************/ /* returns ceil(e * log2(b)^((-1)^i)), or ... + 1. For i=0, uses a 23-bit upper approximation to log(beta)/log(2). For i=1, uses a 77-bit upper approximation to log(2)/log(beta). Note: this function should be called only in the extended exponent range. */ mpfr_exp_t mpfr_ceil_mul (mpfr_exp_t e, int beta, int i) { mpfr_srcptr p; mpfr_t t; mpfr_exp_t r; mp_limb_t tmpmant[MPFR_EXP_LIMB_SIZE]; p = &__gmpfr_l2b[beta-2][i]; MPFR_TMP_INIT1(tmpmant, t, sizeof (mpfr_exp_t) * CHAR_BIT - 1); mpfr_set_exp_t (t, e, MPFR_RNDU); mpfr_mul (t, t, p, MPFR_RNDU); r = mpfr_get_exp_t (t, MPFR_RNDU); return r; } /* take at least 1 + ceil(p*log(2)/log(b)) digits, where p is the number of bits of the mantissa, to ensure back conversion from the output gives the same floating-point. Warning: if b = 2^k, this may be too large. The worst case is when the first base-b digit contains only one bit, so we take 1 + ceil((p-1)/k) instead. */ size_t mpfr_get_str_ndigits (int b, mpfr_prec_t p) { size_t ret; MPFR_SAVE_EXPO_DECL (expo); MPFR_ASSERTN (2 <= b && b <= 62); /* deal first with power of two bases, since even for those, mpfr_ceil_mul might return a value too large by 1 */ if (IS_POW2(b)) /* 1 + ceil((p-1)/k) = 2 + floor((p-2)/k) */ { int k; count_leading_zeros (k, (mp_limb_t) b); k = GMP_NUMB_BITS - k - 1; /* now b = 2^k */ return 1 + (p + k - 2) / k; } MPFR_SAVE_EXPO_MARK (expo); /* the value returned by mpfr_ceil_mul is guaranteed to be 1 + ceil(p*log(2)/log(b)) for p < 186564318007 (it returns one more for p=186564318007 and b=7 or 49) */ MPFR_STAT_STATIC_ASSERT (MPFR_PREC_BITS >= 64 || MPFR_PREC_BITS <= 32); if ( #if MPFR_PREC_BITS >= 64 /* 64-bit numbers are supported by the C implementation, so that we can use the large constant below. */ MPFR_LIKELY (p < 186564318007) #else /* Since MPFR_PREC_BITS <= 32, the above condition is always satisfied, so that we do not need any test on p. */ 1 #endif ) ret = mpfr_ceil_mul (IS_POW2(b) ? p - 1 : p, b, 1); else { /* p is large and b is not a power of two. The code below works for any value of p and b, as long as b is not a power of two. Indeed, in such a case, p*log(2)/log(b) cannot be exactly an integer, and thus Ziv's loop will terminate. */ mpfr_prec_t w = 77; /* mpfr_ceil_mul used a 77-bit upper approximation to log(2)/log(b) */ ret = 0; while (ret == 0) { mpfr_t d, u; w = 2 * w; mpfr_init2 (d, w); /* lower approximation */ mpfr_init2 (u, w); /* upper approximation */ mpfr_set_ui (d, b, MPFR_RNDU); mpfr_set_ui (u, b, MPFR_RNDD); mpfr_log2 (d, d, MPFR_RNDU); mpfr_log2 (u, u, MPFR_RNDD); /* The code below requires that the precision p fit in an unsigned long, which we currently guarantee (see _MPFR_PREC_FORMAT). */ MPFR_STAT_STATIC_ASSERT (MPFR_PREC_MAX <= ULONG_MAX); /* u <= log(b)/log(2) <= d (***) */ mpfr_ui_div (d, p, d, MPFR_RNDD); mpfr_ui_div (u, p, u, MPFR_RNDU); /* d <= p*log(2)/log(b) <= u */ mpfr_ceil (d, d); mpfr_ceil (u, u); if (mpfr_equal_p (d, u)) { ret = mpfr_get_ui (d, MPFR_RNDU); MPFR_ASSERTD (ret != 0); } mpfr_clear (d); mpfr_clear (u); } } MPFR_SAVE_EXPO_FREE (expo); return 1 + ret; } /* prints the mantissa of x in the string s, and writes the corresponding exponent in e. x is rounded with direction rnd, m is the number of digits of the mantissa, |b| is the given base (2 <= b <= 62 or -36 <= b <= -2). This follows GMP's mpf_get_str specification. Return value: if s=NULL, allocates a string to store the mantissa, with m characters, plus a final '\0', plus a possible minus sign (thus m+1 or m+2 characters). Important: when you call this function with s=NULL, don't forget to free the memory space allocated, with mpfr_free_str. */ char * mpfr_get_str (char *s, mpfr_exp_t *e, int b, size_t m, mpfr_srcptr x, mpfr_rnd_t rnd) { const char *num_to_text; int exact; /* exact result */ mpfr_exp_t exp, g; mpfr_exp_t prec; /* precision of the computation */ long err; mp_limb_t *a; mpfr_exp_t exp_a; mp_limb_t *result; mp_limb_t *xp; mp_limb_t *reste; size_t nx, nx1; size_t n, i; char *s0; int neg; int ret; /* return value of mpfr_get_str_aux */ int b0 = b; /* initial base argument, might be negative */ MPFR_ZIV_DECL (loop); MPFR_SAVE_EXPO_DECL (expo); MPFR_TMP_DECL (marker); /* if exact = 1 then err is undefined */ /* otherwise err is such that |x*b^(m-g)-a*2^exp_a| < 2^(err+exp_a) */ MPFR_LOG_FUNC (("b=%d m=%zu x[%Pu]=%.*Rg rnd=%d", b, m, mpfr_get_prec (x), mpfr_log_prec, x, rnd), ("flags=%lx", (unsigned long) __gmpfr_flags)); /* Is the base argument valid? Valid values are -36 to -2 and 2 to 62. */ if (b < -36 || (-2 < b && b < 2) || 62 < b) return NULL; num_to_text = (2 <= b && b <= 36) ? num_to_text36 : num_to_text62; b = (b > 0) ? b : -b; /* now b is positive */ /* map RNDF to RNDN, to avoid problems with specification of mpfr_can_round or mpfr_can_round_raw */ if (rnd == MPFR_RNDF) rnd = MPFR_RNDN; if (MPFR_UNLIKELY (MPFR_IS_NAN (x))) { if (s == NULL) s = (char *) mpfr_allocate_func (6); strcpy (s, "@NaN@"); MPFR_LOG_MSG (("%s\n", s)); __gmpfr_flags |= MPFR_FLAGS_NAN; return s; } neg = MPFR_IS_NEG (x); /* 0 if positive, 1 if negative */ if (MPFR_UNLIKELY (MPFR_IS_INF (x))) { if (s == NULL) s = (char *) mpfr_allocate_func (neg + 6); strcpy (s, (neg) ? "-@Inf@" : "@Inf@"); MPFR_LOG_MSG (("%s\n", s)); return s; } MPFR_SAVE_EXPO_MARK (expo); /* needed for mpfr_ceil_mul (at least) */ if (m == 0) m = mpfr_get_str_ndigits (b, MPFR_PREC(x)); MPFR_LOG_MSG (("m=%zu\n", m)); /* The code below works for m=1, both for power-of-two and non-power-of-two bases; this is important for the internal use of mpfr_get_str. */ /* x is a floating-point number */ if (s == NULL) s = (char *) mpfr_allocate_func (neg + m + 1); s0 = s; if (neg) *s++ = '-'; if (MPFR_IS_ZERO (x)) { memset (s, '0', m); s[m] = '\0'; *e = 0; /* a bit like frexp() in ISO C99 */ MPFR_SAVE_EXPO_FREE (expo); return s0; /* strlen(s0) = neg + m */ } xp = MPFR_MANT (x); if (IS_POW2 (b)) { int pow2; mpfr_exp_t f, r; mp_limb_t *x1; mp_size_t nb; int inexp; count_leading_zeros (pow2, (mp_limb_t) b); pow2 = GMP_NUMB_BITS - pow2 - 1; /* b = 2^pow2 */ /* set MPFR_EXP(x) = f*pow2 + r, 1 <= r <= pow2 */ f = (MPFR_GET_EXP (x) - 1) / pow2; r = MPFR_GET_EXP (x) - f * pow2; if (r <= 0) { f --; r += pow2; } /* the first digit will contain only r bits */ prec = (m - 1) * pow2 + r; /* total number of bits */ /* if m=1 then 1 <= prec <= pow2, and since prec=1 is now valid in MPFR, the power-of-two code also works for m=1 */ n = MPFR_PREC2LIMBS (prec); MPFR_TMP_MARK (marker); x1 = MPFR_TMP_LIMBS_ALLOC (n + 1); nb = n * GMP_NUMB_BITS - prec; /* round xp to the precision prec, and put it into x1 put the carry into x1[n] */ if ((x1[n] = mpfr_round_raw (x1, xp, MPFR_PREC(x), MPFR_IS_STRICTNEG(x), prec, rnd, &inexp))) { /* overflow when rounding x: x1 = 2^prec */ if (r == pow2) /* prec = m * pow2, 2^prec will need (m+1) digits in base 2^pow2 */ { /* divide x1 by 2^pow2, and increase the exponent */ mpn_rshift (x1, x1, n + 1, pow2); f ++; } else /* 2^prec needs still m digits, but x1 may need n+1 limbs */ n ++; } /* it remains to shift x1 by nb limbs to the right, since mpn_get_str expects a right-normalized number */ if (nb != 0) { mpn_rshift (x1, x1, n, nb); /* the most significant word may be zero */ if (x1[n - 1] == 0) n --; } mpn_get_str ((unsigned char *) s, b, x1, n); for (i = 0; i < m; i++) s[i] = num_to_text[(int) s[i]]; s[m] = 0; /* the exponent of s is f + 1 */ *e = f + 1; MPFR_LOG_MSG (("e=%" MPFR_EXP_FSPEC "d\n", (mpfr_eexp_t) *e)); MPFR_TMP_FREE (marker); MPFR_SAVE_EXPO_FREE (expo); return s0; } /* if x < 0, reduce to x > 0 */ if (neg) rnd = MPFR_INVERT_RND (rnd); g = mpfr_ceil_mul (MPFR_GET_EXP (x) - 1, b, 1); exact = 1; /* prec is the radix-2 precision necessary to get m digits in radix b */ prec = mpfr_ceil_mul (m, b, 0) + 1; exp = ((mpfr_exp_t) m < g) ? g - (mpfr_exp_t) m : (mpfr_exp_t) m - g; prec += MPFR_INT_CEIL_LOG2 (prec); /* number of guard bits */ if (exp != 0) /* add maximal exponentiation error */ prec += 3 * (mpfr_exp_t) MPFR_INT_CEIL_LOG2 (exp); MPFR_ZIV_INIT (loop, prec); for (;;) { MPFR_TMP_MARK (marker); exact = 1; /* number of limbs */ n = MPFR_PREC2LIMBS (prec); /* a will contain the approximation of the mantissa */ a = MPFR_TMP_LIMBS_ALLOC (n); nx = MPFR_LIMB_SIZE (x); if ((mpfr_exp_t) m == g) /* final exponent is 0, no multiplication or division to perform */ { if (nx > n) exact = mpn_scan1 (xp, 0) >= (nx - n) * GMP_NUMB_BITS; err = !exact; MPN_COPY2 (a, n, xp, nx); exp_a = MPFR_GET_EXP (x) - n * GMP_NUMB_BITS; } else if ((mpfr_exp_t) m > g) /* we have to multiply x by b^exp */ { mp_limb_t *x1; /* a2*2^exp_a = b^e */ err = mpfr_mpn_exp (a, &exp_a, b, exp, n); /* here, the error on a is at most 2^err ulps */ exact = (err == -1); /* x = x1*2^(n*GMP_NUMB_BITS) */ x1 = (nx >= n) ? xp + nx - n : xp; nx1 = (nx >= n) ? n : nx; /* nx1 = min(n, nx) */ /* test if exact */ if (nx > n) exact = (exact && ((mpn_scan1 (xp, 0) >= (nx - n) * GMP_NUMB_BITS))); /* we loose one more bit in the multiplication, except when err=0 where we loose two bits */ err = (err <= 0) ? 2 : err + 1; /* result = a * x */ result = MPFR_TMP_LIMBS_ALLOC (n + nx1); mpn_mul (result, a, n, x1, nx1); exp_a += MPFR_GET_EXP (x); if (mpn_scan1 (result, 0) < (nx1 * GMP_NUMB_BITS)) exact = 0; /* normalize a and truncate */ if ((result[n + nx1 - 1] & MPFR_LIMB_HIGHBIT) == 0) { mpn_lshift (a, result + nx1, n , 1); a[0] |= result[nx1 - 1] >> (GMP_NUMB_BITS - 1); exp_a --; } else MPN_COPY (a, result + nx1, n); } else /* m < g: divide by b^exp */ { mp_limb_t *x1; /* a2*2^exp_a = b^e */ err = mpfr_mpn_exp (a, &exp_a, b, exp, n); exact = (err == -1); /* allocate memory for x1, result and reste */ result = MPFR_TMP_LIMBS_ALLOC (n + 1); reste = MPFR_TMP_LIMBS_ALLOC (n); if (2 * n <= nx) { x1 = xp + nx - 2 * n; /* we ignored the low nx - 2 * n limbs from x */ if (exact && mpn_scan1 (xp, 0) < (nx - 2 * n) * GMP_NUMB_BITS) exact = 0; } else { /* copy the nx most significant limbs of x into those of x1 */ x1 = MPFR_TMP_LIMBS_ALLOC (2 * n); MPN_ZERO (x1, 2 * n - nx); MPN_COPY (x1 + 2 * n - nx, xp, nx); } /* result = x / a */ mpn_tdiv_qr (result, reste, 0, x1, 2 * n, a, n); exp_a = MPFR_GET_EXP (x) - exp_a - 2 * n * GMP_NUMB_BITS; /* test if division was exact */ if (exact) exact = mpn_popcount (reste, n) == 0; /* normalize the result and copy into a */ if (result[n] == 1) { mpn_rshift (a, result, n, 1); a[n - 1] |= MPFR_LIMB_HIGHBIT;; exp_a ++; } else MPN_COPY (a, result, n); err = (err == -1) ? 2 : err + 2; } /* check if rounding is possible */ if (exact) err = -1; ret = mpfr_get_str_aux (s, e, a, n, exp_a, err, b0, m, rnd); MPFR_TMP_FREE (marker); if (ret == MPFR_ROUND_FAILED) { /* too large error: increment the working precision */ MPFR_ZIV_NEXT (loop, prec); } else if (ret == - MPFR_ROUND_FAILED) { /* too many digits in mantissa: exp = |m-g| */ if ((mpfr_exp_t) m > g) /* exp = m - g, multiply by b^exp */ { g ++; exp --; } else /* exp = g - m, divide by b^exp */ { g ++; exp ++; } } else { if (ret != 0) MPFR_SAVE_EXPO_UPDATE_FLAGS (expo, MPFR_FLAGS_INEXACT); break; } } MPFR_ZIV_FREE (loop); *e += g; MPFR_LOG_MSG (("e=%" MPFR_EXP_FSPEC "d\n", (mpfr_eexp_t) *e)); MPFR_SAVE_EXPO_FREE (expo); return s0; } void mpfr_free_str (char *str) { mpfr_free_func (str, strlen (str) + 1); }