Mercurial > dropbear
annotate libtommath/bn_mp_karatsuba_sqr.c @ 709:abd99ecd7ec2
use an empty writebuf rather than a NULL one
author | Matt Johnston <matt@ucc.asn.au> |
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date | Wed, 20 Mar 2013 22:31:07 +0800 |
parents | 5ff8218bcee9 |
children | 60fc6476e044 |
rev | line source |
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284
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1 #include <tommath.h> |
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2 #ifdef BN_MP_KARATSUBA_SQR_C |
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3 /* LibTomMath, multiple-precision integer library -- Tom St Denis |
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4 * |
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5 * LibTomMath is a library that provides multiple-precision |
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6 * integer arithmetic as well as number theoretic functionality. |
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7 * |
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8 * The library was designed directly after the MPI library by |
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9 * Michael Fromberger but has been written from scratch with |
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10 * additional optimizations in place. |
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11 * |
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12 * The library is free for all purposes without any express |
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13 * guarantee it works. |
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14 * |
389
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284
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15 * Tom St Denis, [email protected], http://math.libtomcrypt.com |
284
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16 */ |
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17 |
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18 /* Karatsuba squaring, computes b = a*a using three |
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19 * half size squarings |
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20 * |
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21 * See comments of karatsuba_mul for details. It |
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22 * is essentially the same algorithm but merely |
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23 * tuned to perform recursive squarings. |
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24 */ |
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25 int mp_karatsuba_sqr (mp_int * a, mp_int * b) |
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26 { |
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27 mp_int x0, x1, t1, t2, x0x0, x1x1; |
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28 int B, err; |
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29 |
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30 err = MP_MEM; |
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31 |
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32 /* min # of digits */ |
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33 B = a->used; |
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34 |
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35 /* now divide in two */ |
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36 B = B >> 1; |
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37 |
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38 /* init copy all the temps */ |
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39 if (mp_init_size (&x0, B) != MP_OKAY) |
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40 goto ERR; |
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41 if (mp_init_size (&x1, a->used - B) != MP_OKAY) |
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42 goto X0; |
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43 |
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44 /* init temps */ |
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45 if (mp_init_size (&t1, a->used * 2) != MP_OKAY) |
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46 goto X1; |
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47 if (mp_init_size (&t2, a->used * 2) != MP_OKAY) |
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48 goto T1; |
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49 if (mp_init_size (&x0x0, B * 2) != MP_OKAY) |
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50 goto T2; |
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51 if (mp_init_size (&x1x1, (a->used - B) * 2) != MP_OKAY) |
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52 goto X0X0; |
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53 |
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54 { |
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55 register int x; |
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56 register mp_digit *dst, *src; |
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57 |
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58 src = a->dp; |
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59 |
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60 /* now shift the digits */ |
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61 dst = x0.dp; |
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62 for (x = 0; x < B; x++) { |
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63 *dst++ = *src++; |
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64 } |
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65 |
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66 dst = x1.dp; |
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67 for (x = B; x < a->used; x++) { |
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68 *dst++ = *src++; |
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69 } |
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70 } |
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71 |
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72 x0.used = B; |
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73 x1.used = a->used - B; |
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74 |
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75 mp_clamp (&x0); |
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76 |
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77 /* now calc the products x0*x0 and x1*x1 */ |
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78 if (mp_sqr (&x0, &x0x0) != MP_OKAY) |
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79 goto X1X1; /* x0x0 = x0*x0 */ |
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80 if (mp_sqr (&x1, &x1x1) != MP_OKAY) |
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81 goto X1X1; /* x1x1 = x1*x1 */ |
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82 |
389
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propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents:
284
diff
changeset
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83 /* now calc (x1+x0)**2 */ |
5ff8218bcee9
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents:
284
diff
changeset
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84 if (s_mp_add (&x1, &x0, &t1) != MP_OKAY) |
284
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
85 goto X1X1; /* t1 = x1 - x0 */ |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
86 if (mp_sqr (&t1, &t1) != MP_OKAY) |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
87 goto X1X1; /* t1 = (x1 - x0) * (x1 - x0) */ |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
88 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
89 /* add x0y0 */ |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
90 if (s_mp_add (&x0x0, &x1x1, &t2) != MP_OKAY) |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
91 goto X1X1; /* t2 = x0x0 + x1x1 */ |
389
5ff8218bcee9
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents:
284
diff
changeset
|
92 if (s_mp_sub (&t1, &t2, &t1) != MP_OKAY) |
5ff8218bcee9
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents:
284
diff
changeset
|
93 goto X1X1; /* t1 = (x1+x0)**2 - (x0x0 + x1x1) */ |
284
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
94 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
95 /* shift by B */ |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
96 if (mp_lshd (&t1, B) != MP_OKAY) |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
97 goto X1X1; /* t1 = (x0x0 + x1x1 - (x1-x0)*(x1-x0))<<B */ |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
98 if (mp_lshd (&x1x1, B * 2) != MP_OKAY) |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
99 goto X1X1; /* x1x1 = x1x1 << 2*B */ |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
100 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
101 if (mp_add (&x0x0, &t1, &t1) != MP_OKAY) |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
102 goto X1X1; /* t1 = x0x0 + t1 */ |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
103 if (mp_add (&t1, &x1x1, b) != MP_OKAY) |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
104 goto X1X1; /* t1 = x0x0 + t1 + x1x1 */ |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
105 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
106 err = MP_OKAY; |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
107 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
108 X1X1:mp_clear (&x1x1); |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
109 X0X0:mp_clear (&x0x0); |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
110 T2:mp_clear (&t2); |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
111 T1:mp_clear (&t1); |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
112 X1:mp_clear (&x1); |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
113 X0:mp_clear (&x0); |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
114 ERR: |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
115 return err; |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
116 } |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
117 #endif |
389
5ff8218bcee9
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents:
284
diff
changeset
|
118 |
5ff8218bcee9
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents:
284
diff
changeset
|
119 /* $Source: /cvs/libtom/libtommath/bn_mp_karatsuba_sqr.c,v $ */ |
5ff8218bcee9
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents:
284
diff
changeset
|
120 /* $Revision: 1.5 $ */ |
5ff8218bcee9
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents:
284
diff
changeset
|
121 /* $Date: 2006/03/31 14:18:44 $ */ |