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										 |  |  | /*
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										 |  |  |  * Copyright (c) 2008-2020 Stefan Krah. All rights reserved. | 
					
						
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										 |  |  |  * | 
					
						
							|  |  |  |  * 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 THE AUTHOR AND CONTRIBUTORS "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 THE AUTHOR 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. | 
					
						
							|  |  |  |  */ | 
					
						
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							|  |  |  | #include "mpdecimal.h"
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										 |  |  | #include <assert.h>
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										 |  |  | #include <stdio.h>
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										 |  |  | #include "bits.h"
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							|  |  |  | #include "difradix2.h"
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							|  |  |  | #include "fnt.h"
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										 |  |  | #include "numbertheory.h"
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							|  |  |  | /* Bignum: Fast transform for medium-sized coefficients. */ | 
					
						
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							|  |  |  | /* forward transform, sign = -1 */ | 
					
						
							|  |  |  | int | 
					
						
							|  |  |  | std_fnt(mpd_uint_t *a, mpd_size_t n, int modnum) | 
					
						
							|  |  |  | { | 
					
						
							|  |  |  |     struct fnt_params *tparams; | 
					
						
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							|  |  |  |     assert(ispower2(n)); | 
					
						
							|  |  |  |     assert(n >= 4); | 
					
						
							|  |  |  |     assert(n <= 3*MPD_MAXTRANSFORM_2N); | 
					
						
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							|  |  |  |     if ((tparams = _mpd_init_fnt_params(n, -1, modnum)) == NULL) { | 
					
						
							|  |  |  |         return 0; | 
					
						
							|  |  |  |     } | 
					
						
							|  |  |  |     fnt_dif2(a, n, tparams); | 
					
						
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							|  |  |  |     mpd_free(tparams); | 
					
						
							|  |  |  |     return 1; | 
					
						
							|  |  |  | } | 
					
						
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							|  |  |  | /* reverse transform, sign = 1 */ | 
					
						
							|  |  |  | int | 
					
						
							|  |  |  | std_inv_fnt(mpd_uint_t *a, mpd_size_t n, int modnum) | 
					
						
							|  |  |  | { | 
					
						
							|  |  |  |     struct fnt_params *tparams; | 
					
						
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							|  |  |  |     assert(ispower2(n)); | 
					
						
							|  |  |  |     assert(n >= 4); | 
					
						
							|  |  |  |     assert(n <= 3*MPD_MAXTRANSFORM_2N); | 
					
						
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							|  |  |  |     if ((tparams = _mpd_init_fnt_params(n, 1, modnum)) == NULL) { | 
					
						
							|  |  |  |         return 0; | 
					
						
							|  |  |  |     } | 
					
						
							|  |  |  |     fnt_dif2(a, n, tparams); | 
					
						
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							|  |  |  |     mpd_free(tparams); | 
					
						
							|  |  |  |     return 1; | 
					
						
							|  |  |  | } |