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| 1 | +CREATE EXTENSION IF NOT EXISTS pgcrypto; |
| 2 | + |
| 3 | +CREATE TYPE ore_64_8_v1_term AS ( |
| 4 | + bytes bytea |
| 5 | +); |
| 6 | + |
| 7 | +CREATE TYPE ore_64_8_v1 AS ( |
| 8 | + terms ore_64_8_v1_term[] |
| 9 | +); |
| 10 | + |
| 11 | +CREATE OR REPLACE FUNCTION compare_ore_64_8_v1_term(a ore_64_8_v1_term, b ore_64_8_v1_term) returns integer AS $$ |
| 12 | + DECLARE |
| 13 | + eq boolean := true; |
| 14 | + unequal_block smallint := 0; |
| 15 | + hash_key bytea; |
| 16 | + target_block bytea; |
| 17 | + |
| 18 | + left_block_size CONSTANT smallint := 16; |
| 19 | + right_block_size CONSTANT smallint := 32; |
| 20 | + right_offset CONSTANT smallint := 136; -- 8 * 17 |
| 21 | + |
| 22 | + indicator smallint := 0; |
| 23 | + BEGIN |
| 24 | + IF a IS NULL AND b IS NULL THEN |
| 25 | + RETURN 0; |
| 26 | + END IF; |
| 27 | + |
| 28 | + IF a IS NULL THEN |
| 29 | + RETURN -1; |
| 30 | + END IF; |
| 31 | + |
| 32 | + IF b IS NULL THEN |
| 33 | + RETURN 1; |
| 34 | + END IF; |
| 35 | + |
| 36 | + IF bit_length(a.bytes) != bit_length(b.bytes) THEN |
| 37 | + RAISE EXCEPTION 'Ciphertexts are different lengths'; |
| 38 | + END IF; |
| 39 | + |
| 40 | + FOR block IN 0..7 LOOP |
| 41 | + -- Compare each PRP (byte from the first 8 bytes) and PRF block (8 byte |
| 42 | + -- chunks of the rest of the value). |
| 43 | + -- NOTE: |
| 44 | + -- * Substr is ordinally indexed (hence 1 and not 0, and 9 and not 8). |
| 45 | + -- * We are not worrying about timing attacks here; don't fret about |
| 46 | + -- the OR or !=. |
| 47 | + IF |
| 48 | + substr(a.bytes, 1 + block, 1) != substr(b.bytes, 1 + block, 1) |
| 49 | + OR substr(a.bytes, 9 + left_block_size * block, left_block_size) != substr(b.bytes, 9 + left_block_size * BLOCK, left_block_size) |
| 50 | + THEN |
| 51 | + -- set the first unequal block we find |
| 52 | + IF eq THEN |
| 53 | + unequal_block := block; |
| 54 | + END IF; |
| 55 | + eq = false; |
| 56 | + END IF; |
| 57 | + END LOOP; |
| 58 | + |
| 59 | + IF eq THEN |
| 60 | + RETURN 0::integer; |
| 61 | + END IF; |
| 62 | + |
| 63 | + -- Hash key is the IV from the right CT of b |
| 64 | + hash_key := substr(b.bytes, right_offset + 1, 16); |
| 65 | + |
| 66 | + -- first right block is at right offset + nonce_size (ordinally indexed) |
| 67 | + target_block := substr(b.bytes, right_offset + 17 + (unequal_block * right_block_size), right_block_size); |
| 68 | + |
| 69 | + indicator := ( |
| 70 | + get_bit( |
| 71 | + encrypt( |
| 72 | + substr(a.bytes, 9 + (left_block_size * unequal_block), left_block_size), |
| 73 | + hash_key, |
| 74 | + 'aes-ecb' |
| 75 | + ), |
| 76 | + 0 |
| 77 | + ) + get_bit(target_block, get_byte(a.bytes, unequal_block))) % 2; |
| 78 | + |
| 79 | + IF indicator = 1 THEN |
| 80 | + RETURN 1::integer; |
| 81 | + ELSE |
| 82 | + RETURN -1::integer; |
| 83 | + END IF; |
| 84 | + END; |
| 85 | +$$ LANGUAGE plpgsql; |
| 86 | + |
| 87 | + |
| 88 | +CREATE OR REPLACE FUNCTION ore_64_8_v1_term_eq(a ore_64_8_v1_term, b ore_64_8_v1_term) RETURNS boolean AS $$ |
| 89 | + SELECT compare_ore_64_8_v1_term(a, b) = 0 |
| 90 | +$$ LANGUAGE SQL; |
| 91 | + |
| 92 | +CREATE OR REPLACE FUNCTION ore_64_8_v1_term_neq(a ore_64_8_v1_term, b ore_64_8_v1_term) RETURNS boolean AS $$ |
| 93 | + SELECT compare_ore_64_8_v1_term(a, b) <> 0 |
| 94 | +$$ LANGUAGE SQL; |
| 95 | + |
| 96 | +CREATE OR REPLACE FUNCTION ore_64_8_v1_term_lt(a ore_64_8_v1_term, b ore_64_8_v1_term) RETURNS boolean AS $$ |
| 97 | + SELECT compare_ore_64_8_v1_term(a, b) = -1 |
| 98 | +$$ LANGUAGE SQL; |
| 99 | + |
| 100 | +CREATE OR REPLACE FUNCTION ore_64_8_v1_term_lte(a ore_64_8_v1_term, b ore_64_8_v1_term) RETURNS boolean AS $$ |
| 101 | + SELECT compare_ore_64_8_v1_term(a, b) != 1 |
| 102 | +$$ LANGUAGE SQL; |
| 103 | + |
| 104 | +CREATE OR REPLACE FUNCTION ore_64_8_v1_term_gt(a ore_64_8_v1_term, b ore_64_8_v1_term) RETURNS boolean AS $$ |
| 105 | + SELECT compare_ore_64_8_v1_term(a, b) = 1 |
| 106 | +$$ LANGUAGE SQL; |
| 107 | + |
| 108 | +CREATE OR REPLACE FUNCTION ore_64_8_v1_term_gte(a ore_64_8_v1_term, b ore_64_8_v1_term) RETURNS boolean AS $$ |
| 109 | + SELECT compare_ore_64_8_v1_term(a, b) != -1 |
| 110 | +$$ LANGUAGE SQL; |
| 111 | + |
| 112 | +CREATE OPERATOR = ( |
| 113 | + PROCEDURE="ore_64_8_v1_term_eq", |
| 114 | + LEFTARG=ore_64_8_v1_term, |
| 115 | + RIGHTARG=ore_64_8_v1_term, |
| 116 | + NEGATOR = <>, |
| 117 | + RESTRICT = eqsel, |
| 118 | + JOIN = eqjoinsel, |
| 119 | + HASHES, |
| 120 | + MERGES |
| 121 | +); |
| 122 | + |
| 123 | +CREATE OPERATOR <> ( |
| 124 | + PROCEDURE="ore_64_8_v1_term_neq", |
| 125 | + LEFTARG=ore_64_8_v1_term, |
| 126 | + RIGHTARG=ore_64_8_v1_term, |
| 127 | + NEGATOR = =, |
| 128 | + RESTRICT = eqsel, |
| 129 | + JOIN = eqjoinsel, |
| 130 | + HASHES, |
| 131 | + MERGES |
| 132 | +); |
| 133 | + |
| 134 | +CREATE OPERATOR > ( |
| 135 | + PROCEDURE="ore_64_8_v1_term_gt", |
| 136 | + LEFTARG=ore_64_8_v1_term, |
| 137 | + RIGHTARG=ore_64_8_v1_term, |
| 138 | + COMMUTATOR = <, |
| 139 | + NEGATOR = <=, |
| 140 | + RESTRICT = scalargtsel, |
| 141 | + JOIN = scalargtjoinsel |
| 142 | +); |
| 143 | + |
| 144 | +CREATE OPERATOR < ( |
| 145 | + PROCEDURE="ore_64_8_v1_term_lt", |
| 146 | + LEFTARG=ore_64_8_v1_term, |
| 147 | + RIGHTARG=ore_64_8_v1_term, |
| 148 | + COMMUTATOR = >, |
| 149 | + NEGATOR = >=, |
| 150 | + RESTRICT = scalarltsel, |
| 151 | + JOIN = scalarltjoinsel |
| 152 | +); |
| 153 | + |
| 154 | +CREATE OPERATOR <= ( |
| 155 | + PROCEDURE="ore_64_8_v1_term_lte", |
| 156 | + LEFTARG=ore_64_8_v1_term, |
| 157 | + RIGHTARG=ore_64_8_v1_term, |
| 158 | + COMMUTATOR = >=, |
| 159 | + NEGATOR = >, |
| 160 | + RESTRICT = scalarlesel, |
| 161 | + JOIN = scalarlejoinsel |
| 162 | +); |
| 163 | + |
| 164 | +CREATE OPERATOR >= ( |
| 165 | + PROCEDURE="ore_64_8_v1_term_gte", |
| 166 | + LEFTARG=ore_64_8_v1_term, |
| 167 | + RIGHTARG=ore_64_8_v1_term, |
| 168 | + COMMUTATOR = <=, |
| 169 | + NEGATOR = <, |
| 170 | + RESTRICT = scalarlesel, |
| 171 | + JOIN = scalarlejoinsel |
| 172 | +); |
| 173 | + |
| 174 | +CREATE OPERATOR FAMILY ore_64_8_v1_term_btree_ops USING btree; |
| 175 | +CREATE OPERATOR CLASS ore_64_8_v1_term_btree_ops DEFAULT FOR TYPE ore_64_8_v1_term USING btree FAMILY ore_64_8_v1_term_btree_ops AS |
| 176 | + OPERATOR 1 <, |
| 177 | + OPERATOR 2 <=, |
| 178 | + OPERATOR 3 =, |
| 179 | + OPERATOR 4 >=, |
| 180 | + OPERATOR 5 >, |
| 181 | + FUNCTION 1 compare_ore_64_8_v1_term(a ore_64_8_v1_term, b ore_64_8_v1_term); |
| 182 | + |
| 183 | +-- Compare the "head" of each array and recurse if necessary |
| 184 | +-- This function assumes an empty string is "less than" everything else |
| 185 | +-- so if a is empty we return -1, if be is empty and a isn't, we return 1. |
| 186 | +-- If both are empty we return 0. This cases probably isn't necessary as equality |
| 187 | +-- doesn't always make sense but it's here for completeness. |
| 188 | +-- If both are non-empty, we compare the first element. If they are equal |
| 189 | +-- we need to consider the next block so we recurse, otherwise we return the comparison result. |
| 190 | +CREATE OR REPLACE FUNCTION compare_ore_array(a ore_64_8_v1_term[], b ore_64_8_v1_term[]) returns integer AS $$ |
| 191 | + DECLARE |
| 192 | + cmp_result integer; |
| 193 | + BEGIN |
| 194 | + IF (array_length(a, 1) = 0 OR a IS NULL) AND (array_length(b, 1) = 0 OR b IS NULL) THEN |
| 195 | + RETURN 0; |
| 196 | + END IF; |
| 197 | + IF array_length(a, 1) = 0 OR a IS NULL THEN |
| 198 | + RETURN -1; |
| 199 | + END IF; |
| 200 | + IF array_length(b, 1) = 0 OR a IS NULL THEN |
| 201 | + RETURN 1; |
| 202 | + END IF; |
| 203 | + |
| 204 | + cmp_result := compare_ore_64_8_v1_term(a[1], b[1]); |
| 205 | + IF cmp_result = 0 THEN |
| 206 | + -- Removes the first element in the array, and calls this fn again to compare the next element/s in the array. |
| 207 | + RETURN compare_ore_array(a[2:array_length(a,1)], b[2:array_length(b,1)]); |
| 208 | + END IF; |
| 209 | + |
| 210 | + RETURN cmp_result; |
| 211 | + END |
| 212 | +$$ LANGUAGE plpgsql; |
| 213 | + |
| 214 | +-- This function uses lexicographic comparison |
| 215 | +CREATE OR REPLACE FUNCTION compare_ore_64_8_v1(a ore_64_8_v1, b ore_64_8_v1) returns integer AS $$ |
| 216 | + DECLARE |
| 217 | + cmp_result integer; |
| 218 | + BEGIN |
| 219 | + -- Recursively compare blocks bailing as soon as we can make a decision |
| 220 | + RETURN compare_ore_array(a.terms, b.terms); |
| 221 | + END |
| 222 | +$$ LANGUAGE plpgsql; |
| 223 | + |
| 224 | +CREATE OR REPLACE FUNCTION ore_64_8_v1_eq(a ore_64_8_v1, b ore_64_8_v1) RETURNS boolean AS $$ |
| 225 | + SELECT compare_ore_64_8_v1(a, b) = 0 |
| 226 | +$$ LANGUAGE SQL; |
| 227 | + |
| 228 | +CREATE OR REPLACE FUNCTION ore_64_8_v1_neq(a ore_64_8_v1, b ore_64_8_v1) RETURNS boolean AS $$ |
| 229 | + SELECT compare_ore_64_8_v1(a, b) <> 0 |
| 230 | +$$ LANGUAGE SQL; |
| 231 | + |
| 232 | +CREATE OR REPLACE FUNCTION ore_64_8_v1_lt(a ore_64_8_v1, b ore_64_8_v1) RETURNS boolean AS $$ |
| 233 | + SELECT compare_ore_64_8_v1(a, b) = -1 |
| 234 | +$$ LANGUAGE SQL; |
| 235 | + |
| 236 | +CREATE OR REPLACE FUNCTION ore_64_8_v1_lte(a ore_64_8_v1, b ore_64_8_v1) RETURNS boolean AS $$ |
| 237 | + SELECT compare_ore_64_8_v1(a, b) != 1 |
| 238 | +$$ LANGUAGE SQL; |
| 239 | + |
| 240 | +CREATE OR REPLACE FUNCTION ore_64_8_v1_gt(a ore_64_8_v1, b ore_64_8_v1) RETURNS boolean AS $$ |
| 241 | + SELECT compare_ore_64_8_v1(a, b) = 1 |
| 242 | +$$ LANGUAGE SQL; |
| 243 | + |
| 244 | +CREATE OR REPLACE FUNCTION ore_64_8_v1_gte(a ore_64_8_v1, b ore_64_8_v1) RETURNS boolean AS $$ |
| 245 | + SELECT compare_ore_64_8_v1(a, b) != -1 |
| 246 | +$$ LANGUAGE SQL; |
| 247 | + |
| 248 | +CREATE OPERATOR = ( |
| 249 | + PROCEDURE="ore_64_8_v1_eq", |
| 250 | + LEFTARG=ore_64_8_v1, |
| 251 | + RIGHTARG=ore_64_8_v1, |
| 252 | + NEGATOR = <>, |
| 253 | + RESTRICT = eqsel, |
| 254 | + JOIN = eqjoinsel, |
| 255 | + HASHES, |
| 256 | + MERGES |
| 257 | +); |
| 258 | + |
| 259 | +CREATE OPERATOR <> ( |
| 260 | + PROCEDURE="ore_64_8_v1_neq", |
| 261 | + LEFTARG=ore_64_8_v1, |
| 262 | + RIGHTARG=ore_64_8_v1, |
| 263 | + NEGATOR = =, |
| 264 | + RESTRICT = eqsel, |
| 265 | + JOIN = eqjoinsel, |
| 266 | + HASHES, |
| 267 | + MERGES |
| 268 | +); |
| 269 | + |
| 270 | +CREATE OPERATOR > ( |
| 271 | + PROCEDURE="ore_64_8_v1_gt", |
| 272 | + LEFTARG=ore_64_8_v1, |
| 273 | + RIGHTARG=ore_64_8_v1, |
| 274 | + COMMUTATOR = <, |
| 275 | + NEGATOR = <=, |
| 276 | + RESTRICT = scalargtsel, |
| 277 | + JOIN = scalargtjoinsel |
| 278 | +); |
| 279 | + |
| 280 | +CREATE OPERATOR < ( |
| 281 | + PROCEDURE="ore_64_8_v1_lt", |
| 282 | + LEFTARG=ore_64_8_v1, |
| 283 | + RIGHTARG=ore_64_8_v1, |
| 284 | + COMMUTATOR = >, |
| 285 | + NEGATOR = >=, |
| 286 | + RESTRICT = scalarltsel, |
| 287 | + JOIN = scalarltjoinsel |
| 288 | +); |
| 289 | + |
| 290 | +CREATE OPERATOR <= ( |
| 291 | + PROCEDURE="ore_64_8_v1_lte", |
| 292 | + LEFTARG=ore_64_8_v1, |
| 293 | + RIGHTARG=ore_64_8_v1, |
| 294 | + COMMUTATOR = >=, |
| 295 | + NEGATOR = >, |
| 296 | + RESTRICT = scalarlesel, |
| 297 | + JOIN = scalarlejoinsel |
| 298 | +); |
| 299 | + |
| 300 | +CREATE OPERATOR >= ( |
| 301 | + PROCEDURE="ore_64_8_v1_gte", |
| 302 | + LEFTARG=ore_64_8_v1, |
| 303 | + RIGHTARG=ore_64_8_v1, |
| 304 | + COMMUTATOR = <=, |
| 305 | + NEGATOR = <, |
| 306 | + RESTRICT = scalarlesel, |
| 307 | + JOIN = scalarlejoinsel |
| 308 | +); |
| 309 | + |
| 310 | +CREATE OPERATOR FAMILY ore_64_8_v1_btree_ops USING btree; |
| 311 | +CREATE OPERATOR CLASS ore_64_8_v1_btree_ops DEFAULT FOR TYPE ore_64_8_v1 USING btree FAMILY ore_64_8_v1_btree_ops AS |
| 312 | + OPERATOR 1 <, |
| 313 | + OPERATOR 2 <=, |
| 314 | + OPERATOR 3 =, |
| 315 | + OPERATOR 4 >=, |
| 316 | + OPERATOR 5 >, |
| 317 | + FUNCTION 1 compare_ore_64_8_v1(a ore_64_8_v1, b ore_64_8_v1); |
1 | 318 | DROP CAST IF EXISTS (text AS ore_64_8_v1_term);
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2 | 319 |
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3 | 320 | DROP FUNCTION IF EXISTS cs_match_v1;
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