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1 /*
2  * Copyright (c) 2008-2024 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  * 2. Redistributions in binary form must reproduce the above copyright
11  *    notice, this list of conditions and the following disclaimer in the
12  *    documentation and/or other materials provided with the distribution.
13  *
14  * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
15  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
16  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
17  * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
18  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
19  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
20  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
21  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
22  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
23  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
24  * SUCH DAMAGE.
25  */
26 
27 
28 #include <assert.h>
29 #include <stdio.h>
30 
31 #include "bits.h"
32 #include "difradix2.h"
33 #include "fnt.h"
34 #include "mpdecimal.h"
35 #include "numbertheory.h"
36 
37 
38 /* Bignum: Fast transform for medium-sized coefficients */
39 
40 
41 /* forward transform, sign = -1 */
42 int
std_fnt(mpd_uint_t * a,mpd_size_t n,int modnum)43 std_fnt(mpd_uint_t *a, mpd_size_t n, int modnum)
44 {
45     struct fnt_params *tparams;
46 
47     assert(ispower2(n));
48     assert(n >= 4);
49     assert(n <= 3*MPD_MAXTRANSFORM_2N);
50 
51     if ((tparams = _mpd_init_fnt_params(n, -1, modnum)) == NULL) {
52         return 0;
53     }
54     fnt_dif2(a, n, tparams);
55 
56     mpd_free(tparams);
57     return 1;
58 }
59 
60 /* reverse transform, sign = 1 */
61 int
std_inv_fnt(mpd_uint_t * a,mpd_size_t n,int modnum)62 std_inv_fnt(mpd_uint_t *a, mpd_size_t n, int modnum)
63 {
64     struct fnt_params *tparams;
65 
66     assert(ispower2(n));
67     assert(n >= 4);
68     assert(n <= 3*MPD_MAXTRANSFORM_2N);
69 
70     if ((tparams = _mpd_init_fnt_params(n, 1, modnum)) == NULL) {
71         return 0;
72     }
73     fnt_dif2(a, n, tparams);
74 
75     mpd_free(tparams);
76     return 1;
77 }
78