1 /* raisemod.c: bcmath library file. */
2 /*
3 Copyright (C) 1991, 1992, 1993, 1994, 1997 Free Software Foundation, Inc.
4 Copyright (C) 2000 Philip A. Nelson
5
6 This library is free software; you can redistribute it and/or
7 modify it under the terms of the GNU Lesser General Public
8 License as published by the Free Software Foundation; either
9 version 2 of the License, or (at your option) any later version.
10
11 This library is distributed in the hope that it will be useful,
12 but WITHOUT ANY WARRANTY; without even the implied warranty of
13 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
14 Lesser General Public License for more details. (LICENSE)
15
16 You should have received a copy of the GNU Lesser General Public
17 License along with this library; if not, write to:
18
19 The Free Software Foundation, Inc.
20 59 Temple Place, Suite 330
21 Boston, MA 02111-1307 USA.
22
23 You may contact the author by:
24 e-mail: philnelson@acm.org
25 us-mail: Philip A. Nelson
26 Computer Science Department, 9062
27 Western Washington University
28 Bellingham, WA 98226-9062
29
30 *************************************************************************/
31
32 #include "bcmath.h"
33 #include <stddef.h>
34
35 /* Raise BASE to the EXPO power, reduced modulo MOD. The result is placed in RESULT. */
bc_raisemod(bc_num base,bc_num expo,bc_num mod,bc_num * result,size_t scale)36 raise_mod_status bc_raisemod(bc_num base, bc_num expo, bc_num mod, bc_num *result, size_t scale)
37 {
38 bc_num power, exponent, modulus, parity, temp;
39 size_t rscale;
40
41 /* Check the base for scale digits. */
42 if (base->n_scale != 0) {
43 return BASE_HAS_FRACTIONAL;
44 }
45 /* Check the exponent for scale digits. */
46 if (expo->n_scale != 0) {
47 return EXPO_HAS_FRACTIONAL;
48 }
49 if (bc_is_neg(expo)) {
50 return EXPO_IS_NEGATIVE;
51 }
52 /* Check the modulus for scale digits. */
53 if (mod->n_scale != 0) {
54 return MOD_HAS_FRACTIONAL;
55 }
56 /* Modulus cannot be 0 */
57 if (bc_is_zero(mod)) {
58 return MOD_IS_ZERO;
59 }
60
61 /* Set initial values. */
62 power = bc_copy_num(base);
63 exponent = bc_copy_num(expo);
64 modulus = bc_copy_num(mod);
65 temp = bc_copy_num(BCG(_one_));
66 bc_init_num(&parity);
67
68 /* Do the calculation. */
69 rscale = MAX(scale, power->n_scale);
70 if (!bc_compare(modulus, BCG(_one_))) {
71 bc_free_num (&temp);
72 temp = bc_new_num (1, scale);
73 } else {
74 while (!bc_is_zero(exponent)) {
75 (void) bc_divmod(exponent, BCG(_two_), &exponent, &parity, 0);
76 if (!bc_is_zero(parity)) {
77 bc_multiply(temp, power, &temp, rscale);
78 (void) bc_modulo(temp, modulus, &temp, scale);
79 }
80 bc_multiply(power, power, &power, rscale);
81 (void) bc_modulo(power, modulus, &power, scale);
82 }
83 }
84
85 /* Assign the value. */
86 bc_free_num (&power);
87 bc_free_num (&exponent);
88 bc_free_num (&modulus);
89 bc_free_num (result);
90 bc_free_num (&parity);
91 *result = temp;
92 return OK;
93 }
94
