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author | Mauro Carvalho Chehab <mchehab@redhat.com> | 2012-03-23 08:06:43 -0300 |
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committer | Mauro Carvalho Chehab <mchehab@redhat.com> | 2012-03-23 08:06:43 -0300 |
commit | 7483d45f0aee3afc0646d185cabd4af9f6cab58c (patch) | |
tree | a312f7d77c34748bec62f0431df33007b10e4e7f /lib/mpi/mpi-inv.c | |
parent | 3e85fc1b9fc1c7e20b9a01f2314bb633bb10501a (diff) | |
parent | f92c97c8bd77992ff8bd6ef29a23dc82dca799cb (diff) |
Merge branch 'staging/for_v3.4' into v4l_for_linus
* staging/for_v3.4: (10117 commits)
[media] update CARDLIST.em28xx
[media] partially reverts changeset fa5527c
[media] stb0899: fix the limits for signal strength values
[media] em28xx: support for 2304:0242 PCTV QuatroStick (510e)
[media] em28xx: support for 2013:0251 PCTV QuatroStick nano (520e)
[media] -EINVAL -> -ENOTTY
[media] gspca - sn9c20x: Cleanup source
[media] gspca - sn9c20x: Simplify register write for capture start/stop
[media] gspca - sn9c20x: Add automatic JPEG compression mechanism
[media] gspca - sn9c20x: Greater delay in case of sensor no response
[media] gspca - sn9c20x: Optimize the code of write sequences
[media] gspca - sn9c20x: Add the JPEG compression quality control
[media] gspca - sn9c20x: Add a delay after Omnivision sensor reset
[media] gspca - sn9c20x: Propagate USB errors to higher level
[media] gspca - sn9c20x: Use the new video control mechanism
[media] gspca - sn9c20x: Fix loss of frame start
[media] gspca - zc3xx: Lack of register 08 value for sensor cs2102k
[media] gspca - ov534_9: Add brightness to OmniVision 5621 sensor
[media] gspca - zc3xx: Add V4L2_CID_JPEG_COMPRESSION_QUALITY control support
[media] pvrusb2: fix 7MHz & 8MHz DVB-T tuner support for HVR1900 rev D1F5
...
Diffstat (limited to 'lib/mpi/mpi-inv.c')
-rw-r--r-- | lib/mpi/mpi-inv.c | 187 |
1 files changed, 187 insertions, 0 deletions
diff --git a/lib/mpi/mpi-inv.c b/lib/mpi/mpi-inv.c new file mode 100644 index 00000000000..0951f984774 --- /dev/null +++ b/lib/mpi/mpi-inv.c @@ -0,0 +1,187 @@ +/* mpi-inv.c - MPI functions + * Copyright (C) 1998, 1999, 2000, 2001 Free Software Foundation, Inc. + * + * This file is part of GnuPG. + * + * GnuPG is free software; you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation; either version 2 of the License, or + * (at your option) any later version. + * + * GnuPG is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA + */ + +#include "mpi-internal.h" + +/**************** + * Calculate the multiplicative inverse X of A mod N + * That is: Find the solution x for + * 1 = (a*x) mod n + */ +int mpi_invm(MPI x, const MPI a, const MPI n) +{ + /* Extended Euclid's algorithm (See TAOPC Vol II, 4.5.2, Alg X) + * modified according to Michael Penk's solution for Exercice 35 + * with further enhancement */ + MPI u = NULL, v = NULL; + MPI u1 = NULL, u2 = NULL, u3 = NULL; + MPI v1 = NULL, v2 = NULL, v3 = NULL; + MPI t1 = NULL, t2 = NULL, t3 = NULL; + unsigned k; + int sign; + int odd = 0; + int rc = -ENOMEM; + + if (mpi_copy(&u, a) < 0) + goto cleanup; + if (mpi_copy(&v, n) < 0) + goto cleanup; + + for (k = 0; !mpi_test_bit(u, 0) && !mpi_test_bit(v, 0); k++) { + if (mpi_rshift(u, u, 1) < 0) + goto cleanup; + if (mpi_rshift(v, v, 1) < 0) + goto cleanup; + } + odd = mpi_test_bit(v, 0); + + u1 = mpi_alloc_set_ui(1); + if (!u1) + goto cleanup; + if (!odd) { + u2 = mpi_alloc_set_ui(0); + if (!u2) + goto cleanup; + } + if (mpi_copy(&u3, u) < 0) + goto cleanup; + if (mpi_copy(&v1, v) < 0) + goto cleanup; + if (!odd) { + v2 = mpi_alloc(mpi_get_nlimbs(u)); + if (!v2) + goto cleanup; + if (mpi_sub(v2, u1, u) < 0) + goto cleanup; /* U is used as const 1 */ + } + if (mpi_copy(&v3, v) < 0) + goto cleanup; + if (mpi_test_bit(u, 0)) { /* u is odd */ + t1 = mpi_alloc_set_ui(0); + if (!t1) + goto cleanup; + if (!odd) { + t2 = mpi_alloc_set_ui(1); + if (!t2) + goto cleanup; + t2->sign = 1; + } + if (mpi_copy(&t3, v) < 0) + goto cleanup; + t3->sign = !t3->sign; + goto Y4; + } else { + t1 = mpi_alloc_set_ui(1); + if (!t1) + goto cleanup; + if (!odd) { + t2 = mpi_alloc_set_ui(0); + if (!t2) + goto cleanup; + } + if (mpi_copy(&t3, u) < 0) + goto cleanup; + } + do { + do { + if (!odd) { + if (mpi_test_bit(t1, 0) || mpi_test_bit(t2, 0)) { /* one is odd */ + if (mpi_add(t1, t1, v) < 0) + goto cleanup; + if (mpi_sub(t2, t2, u) < 0) + goto cleanup; + } + if (mpi_rshift(t1, t1, 1) < 0) + goto cleanup; + if (mpi_rshift(t2, t2, 1) < 0) + goto cleanup; + if (mpi_rshift(t3, t3, 1) < 0) + goto cleanup; + } else { + if (mpi_test_bit(t1, 0)) + if (mpi_add(t1, t1, v) < 0) + goto cleanup; + if (mpi_rshift(t1, t1, 1) < 0) + goto cleanup; + if (mpi_rshift(t3, t3, 1) < 0) + goto cleanup; + } +Y4: + ; + } while (!mpi_test_bit(t3, 0)); /* while t3 is even */ + + if (!t3->sign) { + if (mpi_set(u1, t1) < 0) + goto cleanup; + if (!odd) + if (mpi_set(u2, t2) < 0) + goto cleanup; + if (mpi_set(u3, t3) < 0) + goto cleanup; + } else { + if (mpi_sub(v1, v, t1) < 0) + goto cleanup; + sign = u->sign; + u->sign = !u->sign; + if (!odd) + if (mpi_sub(v2, u, t2) < 0) + goto cleanup; + u->sign = sign; + sign = t3->sign; + t3->sign = !t3->sign; + if (mpi_set(v3, t3) < 0) + goto cleanup; + t3->sign = sign; + } + if (mpi_sub(t1, u1, v1) < 0) + goto cleanup; + if (!odd) + if (mpi_sub(t2, u2, v2) < 0) + goto cleanup; + if (mpi_sub(t3, u3, v3) < 0) + goto cleanup; + if (t1->sign) { + if (mpi_add(t1, t1, v) < 0) + goto cleanup; + if (!odd) + if (mpi_sub(t2, t2, u) < 0) + goto cleanup; + } + } while (mpi_cmp_ui(t3, 0)); /* while t3 != 0 */ + /* mpi_lshift( u3, k ); */ + rc = mpi_set(x, u1); + +cleanup: + mpi_free(u1); + mpi_free(v1); + mpi_free(t1); + if (!odd) { + mpi_free(u2); + mpi_free(v2); + mpi_free(t2); + } + mpi_free(u3); + mpi_free(v3); + mpi_free(t3); + + mpi_free(u); + mpi_free(v); + return rc; +} |