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1 /*
2  * Copyright (c) 2008-2016 Stefan Krah. All rights reserved.
3  *
4  * Redistribution and use in source and binary forms, with or without
5  * modification, are permitted provided that the following conditions
6  * are met:
7  *
8  * 1. Redistributions of source code must retain the above copyright
9  *    notice, this list of conditions and the following disclaimer.
10  *
11  * 2. Redistributions in binary form must reproduce the above copyright
12  *    notice, this list of conditions and the following disclaimer in the
13  *    documentation and/or other materials provided with the distribution.
14  *
15  * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS "AS IS" AND
16  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
17  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
18  * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
19  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
20  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
21  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
22  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
23  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
24  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
25  * SUCH DAMAGE.
26  */
27 
28 
29 #include "mpdecimal.h"
30 #include <stdio.h>
31 #include <stdlib.h>
32 #include <assert.h>
33 #include "bits.h"
34 #include "difradix2.h"
35 #include "numbertheory.h"
36 #include "fnt.h"
37 
38 
39 /* Bignum: Fast transform for medium-sized coefficients. */
40 
41 
42 /* forward transform, sign = -1 */
43 int
std_fnt(mpd_uint_t * a,mpd_size_t n,int modnum)44 std_fnt(mpd_uint_t *a, mpd_size_t n, int modnum)
45 {
46     struct fnt_params *tparams;
47 
48     assert(ispower2(n));
49     assert(n >= 4);
50     assert(n <= 3*MPD_MAXTRANSFORM_2N);
51 
52     if ((tparams = _mpd_init_fnt_params(n, -1, modnum)) == NULL) {
53         return 0;
54     }
55     fnt_dif2(a, n, tparams);
56 
57     mpd_free(tparams);
58     return 1;
59 }
60 
61 /* reverse transform, sign = 1 */
62 int
std_inv_fnt(mpd_uint_t * a,mpd_size_t n,int modnum)63 std_inv_fnt(mpd_uint_t *a, mpd_size_t n, int modnum)
64 {
65     struct fnt_params *tparams;
66 
67     assert(ispower2(n));
68     assert(n >= 4);
69     assert(n <= 3*MPD_MAXTRANSFORM_2N);
70 
71     if ((tparams = _mpd_init_fnt_params(n, 1, modnum)) == NULL) {
72         return 0;
73     }
74     fnt_dif2(a, n, tparams);
75 
76     mpd_free(tparams);
77     return 1;
78 }
79 
80 
81 
82