summaryrefslogtreecommitdiffstats
path: root/runtime/doc/pi_gzip.txt
diff options
context:
space:
mode:
authorBram Moolenaar <Bram@vim.org>2022-06-28 13:44:46 +0100
committerBram Moolenaar <Bram@vim.org>2022-06-28 13:44:46 +0100
commiteb49041875118be5fe60f07750c7c86cb26dccef (patch)
tree3de6d475c03b5668b1f39cf169bca4e892bfb049 /runtime/doc/pi_gzip.txt
parentc19f1a3488c1bb6fe5707dc6338b13cb9f598670 (diff)
release version 9.0v9.0.0000
Problem: About time to release Vim 9.0. Solution: Update the version number everywhere.
Diffstat (limited to 'runtime/doc/pi_gzip.txt')
-rw-r--r--runtime/doc/pi_gzip.txt2
1 files changed, 1 insertions, 1 deletions
diff --git a/runtime/doc/pi_gzip.txt b/runtime/doc/pi_gzip.txt
index 19e73871cd..e5d5ffb25f 100644
--- a/runtime/doc/pi_gzip.txt
+++ b/runtime/doc/pi_gzip.txt
@@ -1,4 +1,4 @@
-*pi_gzip.txt* For Vim version 8.2. Last change: 2019 May 05
+*pi_gzip.txt* For Vim version 9.0. Last change: 2019 May 05
VIM REFERENCE MANUAL by Bram Moolenaar
' href='#n73'>73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321
/* $OpenBSD: ge25519.c,v 1.3 2013/12/09 11:03:45 markus Exp $ */

/*
 * Public Domain, Authors: Daniel J. Bernstein, Niels Duif, Tanja Lange,
 * Peter Schwabe, Bo-Yin Yang.
 * Copied from supercop-20130419/crypto_sign/ed25519/ref/ge25519.c
 */

#include "includes.h"

#include "fe25519.h"
#include "sc25519.h"
#include "ge25519.h"

/* 
 * Arithmetic on the twisted Edwards curve -x^2 + y^2 = 1 + dx^2y^2 
 * with d = -(121665/121666) = 37095705934669439343138083508754565189542113879843219016388785533085940283555
 * Base point: (15112221349535400772501151409588531511454012693041857206046113283949847762202,46316835694926478169428394003475163141307993866256225615783033603165251855960);
 */

/* d */
static const fe25519 ge25519_ecd = {{0xA3, 0x78, 0x59, 0x13, 0xCA, 0x4D, 0xEB, 0x75, 0xAB, 0xD8, 0x41, 0x41, 0x4D, 0x0A, 0x70, 0x00, 
                      0x98, 0xE8, 0x79, 0x77, 0x79, 0x40, 0xC7, 0x8C, 0x73, 0xFE, 0x6F, 0x2B, 0xEE, 0x6C, 0x03, 0x52}};
/* 2*d */
static const fe25519 ge25519_ec2d = {{0x59, 0xF1, 0xB2, 0x26, 0x94, 0x9B, 0xD6, 0xEB, 0x56, 0xB1, 0x83, 0x82, 0x9A, 0x14, 0xE0, 0x00, 
                       0x30, 0xD1, 0xF3, 0xEE, 0xF2, 0x80, 0x8E, 0x19, 0xE7, 0xFC, 0xDF, 0x56, 0xDC, 0xD9, 0x06, 0x24}};
/* sqrt(-1) */
static const fe25519 ge25519_sqrtm1 = {{0xB0, 0xA0, 0x0E, 0x4A, 0x27, 0x1B, 0xEE, 0xC4, 0x78, 0xE4, 0x2F, 0xAD, 0x06, 0x18, 0x43, 0x2F, 
                         0xA7, 0xD7, 0xFB, 0x3D, 0x99, 0x00, 0x4D, 0x2B, 0x0B, 0xDF, 0xC1, 0x4F, 0x80, 0x24, 0x83, 0x2B}};

#define ge25519_p3 ge25519

typedef struct
{
  fe25519 x;
  fe25519 z;
  fe25519 y;
  fe25519 t;
} ge25519_p1p1;

typedef struct
{
  fe25519 x;
  fe25519 y;
  fe25519 z;
} ge25519_p2;

typedef struct
{
  fe25519 x;
  fe25519 y;
} ge25519_aff;


/* Packed coordinates of the base point */
const ge25519 ge25519_base = {{{0x1A, 0xD5, 0x25, 0x8F, 0x60, 0x2D, 0x56, 0xC9, 0xB2, 0xA7, 0x25, 0x95, 0x60, 0xC7, 0x2C, 0x69, 
                                0x5C, 0xDC, 0xD6, 0xFD, 0x31, 0xE2, 0xA4, 0xC0, 0xFE, 0x53, 0x6E, 0xCD, 0xD3, 0x36, 0x69, 0x21}},
                              {{0x58, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 
                                0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66}},
                              {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 
                                0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
                              {{0xA3, 0xDD, 0xB7, 0xA5, 0xB3, 0x8A, 0xDE, 0x6D, 0xF5, 0x52, 0x51, 0x77, 0x80, 0x9F, 0xF0, 0x20, 
                                0x7D, 0xE3, 0xAB, 0x64, 0x8E, 0x4E, 0xEA, 0x66, 0x65, 0x76, 0x8B, 0xD7, 0x0F, 0x5F, 0x87, 0x67}}};

/* Multiples of the base point in affine representation */
static const ge25519_aff ge25519_base_multiples_affine[425] = {
#include "ge25519_base.data"
};

static void p1p1_to_p2(ge25519_p2 *r, const ge25519_p1p1 *p)
{
  fe25519_mul(&r->x, &p->x, &p->t);
  fe25519_mul(&r->y, &p->y, &p->z);
  fe25519_mul(&r->z, &p->z, &p->t);
}

static void p1p1_to_p3(ge25519_p3 *r, const ge25519_p1p1 *p)
{
  p1p1_to_p2((ge25519_p2 *)r, p);
  fe25519_mul(&r->t, &p->x, &p->y);
}

static void ge25519_mixadd2(ge25519_p3 *r, const ge25519_aff *q)
{
  fe25519 a,b,t1,t2,c,d,e,f,g,h,qt;
  fe25519_mul(&qt, &q->x, &q->y);
  fe25519_sub(&a, &r->y, &r->x); /* A = (Y1-X1)*(Y2-X2) */
  fe25519_add(&b, &r->y, &r->x); /* B = (Y1+X1)*(Y2+X2) */
  fe25519_sub(&t1, &q->y, &q->x);
  fe25519_add(&t2, &q->y, &q->x);
  fe25519_mul(&a, &a, &t1);
  fe25519_mul(&b, &b, &t2);
  fe25519_sub(&e, &b, &a); /* E = B-A */
  fe25519_add(&h, &b, &a); /* H = B+A */
  fe25519_mul(&c, &r->t, &qt); /* C = T1*k*T2 */
  fe25519_mul(&c, &c, &ge25519_ec2d);
  fe25519_add(&d, &r->z, &r->z); /* D = Z1*2 */
  fe25519_sub(&f, &d, &c); /* F = D-C */
  fe25519_add(&g, &d, &c); /* G = D+C */
  fe25519_mul(&r->x, &e, &f);
  fe25519_mul(&r->y, &h, &g);
  fe25519_mul(&r->z, &g, &f);
  fe25519_mul(&r->t, &e, &h);
}

static void add_p1p1(ge25519_p1p1 *r, const ge25519_p3 *p, const ge25519_p3 *q)
{
  fe25519 a, b, c, d, t;
  
  fe25519_sub(&a, &p->y, &p->x); /* A = (Y1-X1)*(Y2-X2) */
  fe25519_sub(&t, &q->y, &q->x);
  fe25519_mul(&a, &a, &t);
  fe25519_add(&b, &p->x, &p->y); /* B = (Y1+X1)*(Y2+X2) */
  fe25519_add(&t, &q->x, &q->y);
  fe25519_mul(&b, &b, &t);
  fe25519_mul(&c, &p->t, &q->t); /* C = T1*k*T2 */
  fe25519_mul(&c, &c, &ge25519_ec2d);
  fe25519_mul(&d, &p->z, &q->z); /* D = Z1*2*Z2 */
  fe25519_add(&d, &d, &d);
  fe25519_sub(&r->x, &b, &a); /* E = B-A */
  fe25519_sub(&r->t, &d, &c); /* F = D-C */
  fe25519_add(&r->z, &d, &c); /* G = D+C */
  fe25519_add(&r->y, &b, &a); /* H = B+A */
}

/* See http://www.hyperelliptic.org/EFD/g1p/auto-twisted-extended-1.html#doubling-dbl-2008-hwcd */
static void dbl_p1p1(ge25519_p1p1 *r, const ge25519_p2 *p)
{
  fe25519 a,b,c,d;
  fe25519_square(&a,