annotate libtommath/bn_s_mp_toom_sqr.c @ 1861:2b3a8026a6ce

Add re-exec for server This allows ASLR to re-randomize the address space for every connection, preventing some vulnerabilities from being exploitable by repeated probing. Overhead (memory and time) is yet to be confirmed. At present this is only enabled on Linux. Other BSD platforms with fexecve() would probably also work though have not been tested.
author Matt Johnston <matt@ucc.asn.au>
date Sun, 30 Jan 2022 10:14:56 +0800
parents 1051e4eea25a
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
1692
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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1 #include "tommath_private.h"
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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2 #ifdef BN_S_MP_TOOM_SQR_C
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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3 /* LibTomMath, multiple-precision integer library -- Tom St Denis */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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4 /* SPDX-License-Identifier: Unlicense */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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5
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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6 /* squaring using Toom-Cook 3-way algorithm */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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7
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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8 /*
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
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9 This file contains code from J. Arndt's book "Matters Computational"
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
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10 and the accompanying FXT-library with permission of the author.
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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11 */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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12
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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13 /* squaring using Toom-Cook 3-way algorithm */
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Steffen Jaeckel <s@jaeckel.eu>
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14 /*
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
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15 Setup and interpolation from algorithm SQR_3 in
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
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16
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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17 Chung, Jaewook, and M. Anwar Hasan. "Asymmetric squaring formulae."
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
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18 18th IEEE Symposium on Computer Arithmetic (ARITH'07). IEEE, 2007.
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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19
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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20 */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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21 mp_err s_mp_toom_sqr(const mp_int *a, mp_int *b)
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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22 {
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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23 mp_int S0, a0, a1, a2;
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24 mp_digit *tmpa, *tmpc;
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25 int B, count;
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26 mp_err err;
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27
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28
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29 /* init temps */
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30 if ((err = mp_init(&S0)) != MP_OKAY) {
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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31 return err;
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32 }
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33
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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34 /* B */
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35 B = a->used / 3;
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36
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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37 /** a = a2 * x^2 + a1 * x + a0; */
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38 if ((err = mp_init_size(&a0, B)) != MP_OKAY) goto LBL_ERRa0;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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39
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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40 a0.used = B;
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41 if ((err = mp_init_size(&a1, B)) != MP_OKAY) goto LBL_ERRa1;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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42 a1.used = B;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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43 if ((err = mp_init_size(&a2, B + (a->used - (3 * B)))) != MP_OKAY) goto LBL_ERRa2;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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44
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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45 tmpa = a->dp;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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46 tmpc = a0.dp;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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47 for (count = 0; count < B; count++) {
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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48 *tmpc++ = *tmpa++;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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49 }
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50 tmpc = a1.dp;
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51 for (; count < (2 * B); count++) {
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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52 *tmpc++ = *tmpa++;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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53 }
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54 tmpc = a2.dp;
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55 for (; count < a->used; count++) {
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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56 *tmpc++ = *tmpa++;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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57 a2.used++;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
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58 }
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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59 mp_clamp(&a0);
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60 mp_clamp(&a1);
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61 mp_clamp(&a2);
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62
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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63 /** S0 = a0^2; */
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64 if ((err = mp_sqr(&a0, &S0)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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65
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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66 /** \\S1 = (a2 + a1 + a0)^2 */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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67 /** \\S2 = (a2 - a1 + a0)^2 */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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68 /** \\S1 = a0 + a2; */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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69 /** a0 = a0 + a2; */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
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70 if ((err = mp_add(&a0, &a2, &a0)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
71 /** \\S2 = S1 - a1; */
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72 /** b = a0 - a1; */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
73 if ((err = mp_sub(&a0, &a1, b)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
74 /** \\S1 = S1 + a1; */
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75 /** a0 = a0 + a1; */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
76 if ((err = mp_add(&a0, &a1, &a0)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
77 /** \\S1 = S1^2; */
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Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
78 /** a0 = a0^2; */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
79 if ((err = mp_sqr(&a0, &a0)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
80 /** \\S2 = S2^2; */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
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81 /** b = b^2; */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
82 if ((err = mp_sqr(b, b)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
83
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
84 /** \\ S3 = 2 * a1 * a2 */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
85 /** \\S3 = a1 * a2; */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
86 /** a1 = a1 * a2; */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
87 if ((err = mp_mul(&a1, &a2, &a1)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
88 /** \\S3 = S3 << 1; */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
89 /** a1 = a1 << 1; */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
90 if ((err = mp_mul_2(&a1, &a1)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
91
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
92 /** \\S4 = a2^2; */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
93 /** a2 = a2^2; */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
94 if ((err = mp_sqr(&a2, &a2)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
95
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
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diff changeset
96 /** \\ tmp = (S1 + S2)/2 */
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Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
97 /** \\tmp = S1 + S2; */
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Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
98 /** b = a0 + b; */
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Steffen Jaeckel <s@jaeckel.eu>
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diff changeset
99 if ((err = mp_add(&a0, b, b)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
100 /** \\tmp = tmp >> 1; */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
101 /** b = b >> 1; */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
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diff changeset
102 if ((err = mp_div_2(b, b)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
103
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
104 /** \\ S1 = S1 - tmp - S3 */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
105 /** \\S1 = S1 - tmp; */
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Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
106 /** a0 = a0 - b; */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
107 if ((err = mp_sub(&a0, b, &a0)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
108 /** \\S1 = S1 - S3; */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
109 /** a0 = a0 - a1; */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
110 if ((err = mp_sub(&a0, &a1, &a0)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
111
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
112 /** \\S2 = tmp - S4 -S0 */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
113 /** \\S2 = tmp - S4; */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
114 /** b = b - a2; */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
115 if ((err = mp_sub(b, &a2, b)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
116 /** \\S2 = S2 - S0; */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
117 /** b = b - S0; */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
118 if ((err = mp_sub(b, &S0, b)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
119
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
120
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
121 /** \\P = S4*x^4 + S3*x^3 + S2*x^2 + S1*x + S0; */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
122 /** P = a2*x^4 + a1*x^3 + b*x^2 + a0*x + S0; */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
123
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
124 if ((err = mp_lshd(&a2, 4 * B)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
125 if ((err = mp_lshd(&a1, 3 * B)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
126 if ((err = mp_lshd(b, 2 * B)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
127 if ((err = mp_lshd(&a0, 1 * B)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
128 if ((err = mp_add(&a2, &a1, &a2)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
129 if ((err = mp_add(&a2, b, b)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
130 if ((err = mp_add(b, &a0, b)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
131 if ((err = mp_add(b, &S0, b)) != MP_OKAY) goto LBL_ERR;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
132 /** a^2 - P */
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
133
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
134
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
135 LBL_ERR:
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
136 mp_clear(&a2);
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
137 LBL_ERRa2:
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
138 mp_clear(&a1);
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
139 LBL_ERRa1:
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
140 mp_clear(&a0);
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
141 LBL_ERRa0:
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
142 mp_clear(&S0);
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
143
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
144 return err;
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
145 }
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
146
1051e4eea25a Update LibTomMath to 1.2.0 (#84)
Steffen Jaeckel <s@jaeckel.eu>
parents:
diff changeset
147 #endif