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add mag_pow_fmpz

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This commit is contained in:
Fredrik Johansson 2014-08-14 01:04:48 +02:00
parent b2bc5162d8
commit e0115b8bb9
4 changed files with 169 additions and 1 deletions
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4
doc/source/mag.rst
View file

@ -158,7 +158,9 @@ Arithmetic
.. function:: void mag_pow_ui(mag_t z, const mag_t x, ulong e)
Sets *z* to an upper bound for `x^e`.
.. function:: void mag_pow_fmpz(mag_t z, const mag_t x, const fmpz_t e)
Sets *z* to an upper bound for `x^e`. Requires `e \ge 0`.
.. function:: void mag_pow_ui_lower(mag_t z, const mag_t x, ulong e)

1
mag.h
View file

@ -511,6 +511,7 @@ void mag_log1p(mag_t z, const mag_t x);
void mag_pow_ui(mag_t z, const mag_t x, ulong e);
void mag_pow_ui_lower(mag_t z, const mag_t x, ulong e);
void mag_pow_fmpz(mag_t z, const mag_t x, const fmpz_t e);
void mag_fac_ui(mag_t z, ulong n);
void mag_rfac_ui(mag_t z, ulong n);

61
mag/pow_fmpz.c Normal file
View file

@ -0,0 +1,61 @@
/*=============================================================================
This file is part of ARB.
ARB is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
ARB is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with ARB; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
=============================================================================*/
/******************************************************************************
Copyright (C) 2014 Fredrik Johansson
******************************************************************************/
#include "mag.h"
void
mag_pow_fmpz(mag_t z, const mag_t x, const fmpz_t e)
{
if (fmpz_sgn(e) < 0)
{
abort();
}
else if (!COEFF_IS_MPZ(*e))
{
mag_pow_ui(z, x, fmpz_get_ui(e));
}
else
{
mag_t y;
mp_srcptr elimbs;
long i, bits;
mag_init_set(y, x);
bits = fmpz_bits(e);
elimbs = COEFF_TO_PTR(*e)->_mp_d;
for (i = bits - 2; i >= 0; i--)
{
mag_mul(y, y, y);
if ((elimbs[i / FLINT_BITS] >> (i % FLINT_BITS)) & 1)
mag_mul(y, y, x);
}
mag_swap(z, y);
mag_clear(y);
}
}

104
mag/test/t-pow_fmpz.c Normal file
View file

@ -0,0 +1,104 @@
/*=============================================================================
This file is part of ARB.
ARB is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
ARB is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with ARB; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
=============================================================================*/
/******************************************************************************
Copyright (C) 2014 Fredrik Johansson
******************************************************************************/
#include "mag.h"
int main()
{
long iter;
flint_rand_t state;
printf("pow_fmpz....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 10000; iter++)
{
fmpr_t x, y, w;
mag_t xb, yb;
fmpz_t e;
fmpr_init(x);
fmpr_init(y);
fmpr_init(w);
fmpz_init(e);
mag_init(xb);
mag_init(yb);
mag_randtest_special(xb, state, 80);
mag_randtest_special(yb, state, 80);
fmpz_randtest(e, state, 200);
fmpz_abs(e, e);
mag_get_fmpr(x, xb);
fmpr_pow_sloppy_fmpz(y, x, e, 2 * MAG_BITS, FMPR_RND_UP);
if (fmpr_is_nan(y))
fmpr_pos_inf(y);
mag_pow_fmpz(yb, xb, e);
mag_get_fmpr(w, yb);
MAG_CHECK_BITS(xb)
MAG_CHECK_BITS(yb)
if (!(fmpr_cmpabs(y, w) <= 0))
{
printf("FAIL\n\n");
printf("e = "); fmpz_print(e); printf("\n\n");
printf("x = "); fmpr_print(x); printf("\n\n");
printf("y = "); fmpr_print(y); printf("\n\n");
printf("w = "); fmpr_print(w); printf("\n\n");
abort();
}
mag_pow_fmpz(xb, xb, e);
if (!mag_equal(xb, yb))
{
printf("FAIL (aliasing)\n\n");
printf("e = "); fmpz_print(e); printf("\n\n");
mag_print(xb); printf("\n\n");
mag_print(yb); printf("\n\n");
abort();
}
fmpr_clear(x);
fmpr_clear(y);
fmpr_clear(w);
fmpz_clear(e);
mag_clear(xb);
mag_clear(yb);
}
flint_randclear(state);
flint_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}