90 lines
3.1 KiB
C
90 lines
3.1 KiB
C
/*
|
|
|
|
Copyright 2009, 2011 William Hart. All rights reserved.
|
|
|
|
Redistribution and use in source and binary forms, with or without modification, are
|
|
permitted provided that the following conditions are met:
|
|
|
|
1. Redistributions of source code must retain the above copyright notice, this list of
|
|
conditions and the following disclaimer.
|
|
|
|
2. Redistributions in binary form must reproduce the above copyright notice, this list
|
|
of conditions and the following disclaimer in the documentation and/or other materials
|
|
provided with the distribution.
|
|
|
|
THIS SOFTWARE IS PROVIDED BY William Hart ``AS IS'' AND ANY EXPRESS OR IMPLIED
|
|
WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND
|
|
FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL William Hart OR
|
|
CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
|
|
CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
|
|
SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
|
|
ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
|
|
NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
|
|
ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
|
|
|
|
The views and conclusions contained in the software and documentation are those of the
|
|
authors and should not be interpreted as representing official policies, either expressed
|
|
or implied, of William Hart.
|
|
|
|
*/
|
|
|
|
#include "mpir.h"
|
|
#include "gmp-impl.h"
|
|
|
|
void mpir_fft_mfa_trunc_sqrt2_inner(mp_ptr * ii, mp_ptr * jj, mp_size_t n,
|
|
mp_bitcnt_t w, mp_ptr * t1, mp_ptr * t2,
|
|
mp_ptr * temp, mp_size_t n1, mp_size_t trunc, mp_ptr tt)
|
|
{
|
|
mp_size_t i, j, s;
|
|
mp_size_t n2 = (2*n)/n1;
|
|
mp_size_t trunc2 = (trunc - 2*n)/n1;
|
|
mp_size_t limbs = (n*w)/GMP_LIMB_BITS;
|
|
mp_bitcnt_t depth = 0;
|
|
mp_bitcnt_t depth2 = 0;
|
|
|
|
while ((((mp_size_t)1)<<depth) < n2) depth++;
|
|
while ((((mp_size_t)1)<<depth2) < n1) depth2++;
|
|
|
|
ii += 2*n;
|
|
jj += 2*n;
|
|
|
|
/* convolutions on relevant rows */
|
|
for (s = 0; s < trunc2; s++)
|
|
{
|
|
i = mpir_revbin(s, depth);
|
|
mpir_fft_radix2(ii + i*n1, n1/2, w*n2, t1, t2);
|
|
if (ii != jj) mpir_fft_radix2(jj + i*n1, n1/2, w*n2, t1, t2);
|
|
|
|
for (j = 0; j < n1; j++)
|
|
{
|
|
mp_size_t t = i*n1 + j;
|
|
mpn_normmod_2expp1(ii[t], limbs);
|
|
if (ii != jj) mpn_normmod_2expp1(jj[t], limbs);
|
|
mpn_mulmod_Bexpp1(ii[t], ii[t], jj[t], n * w / GMP_LIMB_BITS, tt);
|
|
}
|
|
|
|
mpir_ifft_radix2(ii + i*n1, n1/2, w*n2, t1, t2);
|
|
}
|
|
|
|
ii -= 2*n;
|
|
jj -= 2*n;
|
|
|
|
/* convolutions on rows */
|
|
for (i = 0; i < n2; i++)
|
|
{
|
|
mpir_fft_radix2(ii + i*n1, n1/2, w*n2, t1, t2);
|
|
if (ii != jj) mpir_fft_radix2(jj + i*n1, n1/2, w*n2, t1, t2);
|
|
|
|
for (j = 0; j < n1; j++)
|
|
{
|
|
mp_size_t t = i*n1 + j;
|
|
mpn_normmod_2expp1(ii[t], limbs);
|
|
if (ii != jj) mpn_normmod_2expp1(jj[t], limbs);
|
|
mpn_mulmod_Bexpp1(ii[t], ii[t], jj[t], n * w / GMP_LIMB_BITS, tt);
|
|
}
|
|
|
|
mpir_ifft_radix2(ii + i*n1, n1/2, w*n2, t1, t2);
|
|
}
|
|
}
|
|
|