FStar_UInt128_extracted.c (14010B)
1 /* Copyright (c) INRIA and Microsoft Corporation. All rights reserved. 2 Licensed under the Apache 2.0 License. */ 3 4 /* This file was generated by KreMLin <https://github.com/FStarLang/kremlin> 5 * KreMLin invocation: ../krml -fc89 -fparentheses -fno-shadow -header /mnt/e/everest/verify/hdrB9w -minimal -fparentheses -fcurly-braces -fno-shadow -header copyright-header.txt -minimal -tmpdir extracted -warn-error +9+11 -skip-compilation -extract-uints -add-include <inttypes.h> -add-include "kremlib.h" -add-include "kremlin/internal/compat.h" extracted/prims.krml extracted/FStar_Pervasives_Native.krml extracted/FStar_Pervasives.krml extracted/FStar_Mul.krml extracted/FStar_Squash.krml extracted/FStar_Classical.krml extracted/FStar_StrongExcludedMiddle.krml extracted/FStar_FunctionalExtensionality.krml extracted/FStar_List_Tot_Base.krml extracted/FStar_List_Tot_Properties.krml extracted/FStar_List_Tot.krml extracted/FStar_Seq_Base.krml extracted/FStar_Seq_Properties.krml extracted/FStar_Seq.krml extracted/FStar_Math_Lib.krml extracted/FStar_Math_Lemmas.krml extracted/FStar_BitVector.krml extracted/FStar_UInt.krml extracted/FStar_UInt32.krml extracted/FStar_Int.krml extracted/FStar_Int16.krml extracted/FStar_Preorder.krml extracted/FStar_Ghost.krml extracted/FStar_ErasedLogic.krml extracted/FStar_UInt64.krml extracted/FStar_Set.krml extracted/FStar_PropositionalExtensionality.krml extracted/FStar_PredicateExtensionality.krml extracted/FStar_TSet.krml extracted/FStar_Monotonic_Heap.krml extracted/FStar_Heap.krml extracted/FStar_Map.krml extracted/FStar_Monotonic_HyperHeap.krml extracted/FStar_Monotonic_HyperStack.krml extracted/FStar_HyperStack.krml extracted/FStar_Monotonic_Witnessed.krml extracted/FStar_HyperStack_ST.krml extracted/FStar_HyperStack_All.krml extracted/FStar_Date.krml extracted/FStar_Universe.krml extracted/FStar_GSet.krml extracted/FStar_ModifiesGen.krml extracted/LowStar_Monotonic_Buffer.krml extracted/LowStar_Buffer.krml extracted/Spec_Loops.krml extracted/LowStar_BufferOps.krml extracted/C_Loops.krml extracted/FStar_UInt8.krml extracted/FStar_Kremlin_Endianness.krml extracted/FStar_UInt63.krml extracted/FStar_Exn.krml extracted/FStar_ST.krml extracted/FStar_All.krml extracted/FStar_Dyn.krml extracted/FStar_Int63.krml extracted/FStar_Int64.krml extracted/FStar_Int32.krml extracted/FStar_Int8.krml extracted/FStar_UInt16.krml extracted/FStar_Int_Cast.krml extracted/FStar_UInt128.krml extracted/C_Endianness.krml extracted/FStar_List.krml extracted/FStar_Float.krml extracted/FStar_IO.krml extracted/C.krml extracted/FStar_Char.krml extracted/FStar_String.krml extracted/LowStar_Modifies.krml extracted/C_String.krml extracted/FStar_Bytes.krml extracted/FStar_HyperStack_IO.krml extracted/C_Failure.krml extracted/TestLib.krml extracted/FStar_Int_Cast_Full.krml 6 * F* version: 059db0c8 7 * KreMLin version: 916c37ac 8 */ 9 10 11 #include "FStar_UInt128.h" 12 #include "kremlin/c_endianness.h" 13 #include "FStar_UInt64_FStar_UInt32_FStar_UInt16_FStar_UInt8.h" 14 15 uint64_t FStar_UInt128___proj__Mkuint128__item__low(FStar_UInt128_uint128 projectee) 16 { 17 return projectee.low; 18 } 19 20 uint64_t FStar_UInt128___proj__Mkuint128__item__high(FStar_UInt128_uint128 projectee) 21 { 22 return projectee.high; 23 } 24 25 static uint64_t FStar_UInt128_constant_time_carry(uint64_t a, uint64_t b) 26 { 27 return (a ^ ((a ^ b) | ((a - b) ^ b))) >> (uint32_t)63U; 28 } 29 30 static uint64_t FStar_UInt128_carry(uint64_t a, uint64_t b) 31 { 32 return FStar_UInt128_constant_time_carry(a, b); 33 } 34 35 FStar_UInt128_uint128 FStar_UInt128_add(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) 36 { 37 FStar_UInt128_uint128 38 flat = { a.low + b.low, a.high + b.high + FStar_UInt128_carry(a.low + b.low, b.low) }; 39 return flat; 40 } 41 42 FStar_UInt128_uint128 43 FStar_UInt128_add_underspec(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) 44 { 45 FStar_UInt128_uint128 46 flat = { a.low + b.low, a.high + b.high + FStar_UInt128_carry(a.low + b.low, b.low) }; 47 return flat; 48 } 49 50 FStar_UInt128_uint128 FStar_UInt128_add_mod(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) 51 { 52 FStar_UInt128_uint128 53 flat = { a.low + b.low, a.high + b.high + FStar_UInt128_carry(a.low + b.low, b.low) }; 54 return flat; 55 } 56 57 FStar_UInt128_uint128 FStar_UInt128_sub(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) 58 { 59 FStar_UInt128_uint128 60 flat = { a.low - b.low, a.high - b.high - FStar_UInt128_carry(a.low, a.low - b.low) }; 61 return flat; 62 } 63 64 FStar_UInt128_uint128 65 FStar_UInt128_sub_underspec(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) 66 { 67 FStar_UInt128_uint128 68 flat = { a.low - b.low, a.high - b.high - FStar_UInt128_carry(a.low, a.low - b.low) }; 69 return flat; 70 } 71 72 static FStar_UInt128_uint128 73 FStar_UInt128_sub_mod_impl(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) 74 { 75 FStar_UInt128_uint128 76 flat = { a.low - b.low, a.high - b.high - FStar_UInt128_carry(a.low, a.low - b.low) }; 77 return flat; 78 } 79 80 FStar_UInt128_uint128 FStar_UInt128_sub_mod(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) 81 { 82 return FStar_UInt128_sub_mod_impl(a, b); 83 } 84 85 FStar_UInt128_uint128 FStar_UInt128_logand(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) 86 { 87 FStar_UInt128_uint128 flat = { a.low & b.low, a.high & b.high }; 88 return flat; 89 } 90 91 FStar_UInt128_uint128 FStar_UInt128_logxor(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) 92 { 93 FStar_UInt128_uint128 flat = { a.low ^ b.low, a.high ^ b.high }; 94 return flat; 95 } 96 97 FStar_UInt128_uint128 FStar_UInt128_logor(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) 98 { 99 FStar_UInt128_uint128 flat = { a.low | b.low, a.high | b.high }; 100 return flat; 101 } 102 103 FStar_UInt128_uint128 FStar_UInt128_lognot(FStar_UInt128_uint128 a) 104 { 105 FStar_UInt128_uint128 flat = { ~a.low, ~a.high }; 106 return flat; 107 } 108 109 static uint32_t FStar_UInt128_u32_64 = (uint32_t)64U; 110 111 static uint64_t FStar_UInt128_add_u64_shift_left(uint64_t hi, uint64_t lo, uint32_t s) 112 { 113 return (hi << s) + (lo >> (FStar_UInt128_u32_64 - s)); 114 } 115 116 static uint64_t FStar_UInt128_add_u64_shift_left_respec(uint64_t hi, uint64_t lo, uint32_t s) 117 { 118 return FStar_UInt128_add_u64_shift_left(hi, lo, s); 119 } 120 121 static FStar_UInt128_uint128 122 FStar_UInt128_shift_left_small(FStar_UInt128_uint128 a, uint32_t s) 123 { 124 if (s == (uint32_t)0U) 125 { 126 return a; 127 } 128 else 129 { 130 FStar_UInt128_uint128 131 flat = { a.low << s, FStar_UInt128_add_u64_shift_left_respec(a.high, a.low, s) }; 132 return flat; 133 } 134 } 135 136 static FStar_UInt128_uint128 137 FStar_UInt128_shift_left_large(FStar_UInt128_uint128 a, uint32_t s) 138 { 139 FStar_UInt128_uint128 flat = { (uint64_t)0U, a.low << (s - FStar_UInt128_u32_64) }; 140 return flat; 141 } 142 143 FStar_UInt128_uint128 FStar_UInt128_shift_left(FStar_UInt128_uint128 a, uint32_t s) 144 { 145 if (s < FStar_UInt128_u32_64) 146 { 147 return FStar_UInt128_shift_left_small(a, s); 148 } 149 else 150 { 151 return FStar_UInt128_shift_left_large(a, s); 152 } 153 } 154 155 static uint64_t FStar_UInt128_add_u64_shift_right(uint64_t hi, uint64_t lo, uint32_t s) 156 { 157 return (lo >> s) + (hi << (FStar_UInt128_u32_64 - s)); 158 } 159 160 static uint64_t FStar_UInt128_add_u64_shift_right_respec(uint64_t hi, uint64_t lo, uint32_t s) 161 { 162 return FStar_UInt128_add_u64_shift_right(hi, lo, s); 163 } 164 165 static FStar_UInt128_uint128 166 FStar_UInt128_shift_right_small(FStar_UInt128_uint128 a, uint32_t s) 167 { 168 if (s == (uint32_t)0U) 169 { 170 return a; 171 } 172 else 173 { 174 FStar_UInt128_uint128 175 flat = { FStar_UInt128_add_u64_shift_right_respec(a.high, a.low, s), a.high >> s }; 176 return flat; 177 } 178 } 179 180 static FStar_UInt128_uint128 181 FStar_UInt128_shift_right_large(FStar_UInt128_uint128 a, uint32_t s) 182 { 183 FStar_UInt128_uint128 flat = { a.high >> (s - FStar_UInt128_u32_64), (uint64_t)0U }; 184 return flat; 185 } 186 187 FStar_UInt128_uint128 FStar_UInt128_shift_right(FStar_UInt128_uint128 a, uint32_t s) 188 { 189 if (s < FStar_UInt128_u32_64) 190 { 191 return FStar_UInt128_shift_right_small(a, s); 192 } 193 else 194 { 195 return FStar_UInt128_shift_right_large(a, s); 196 } 197 } 198 199 bool FStar_UInt128_eq(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) 200 { 201 return a.low == b.low && a.high == b.high; 202 } 203 204 bool FStar_UInt128_gt(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) 205 { 206 return a.high > b.high || (a.high == b.high && a.low > b.low); 207 } 208 209 bool FStar_UInt128_lt(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) 210 { 211 return a.high < b.high || (a.high == b.high && a.low < b.low); 212 } 213 214 bool FStar_UInt128_gte(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) 215 { 216 return a.high > b.high || (a.high == b.high && a.low >= b.low); 217 } 218 219 bool FStar_UInt128_lte(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) 220 { 221 return a.high < b.high || (a.high == b.high && a.low <= b.low); 222 } 223 224 FStar_UInt128_uint128 FStar_UInt128_eq_mask(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) 225 { 226 FStar_UInt128_uint128 227 flat = 228 { 229 FStar_UInt64_eq_mask(a.low, 230 b.low) 231 & FStar_UInt64_eq_mask(a.high, b.high), 232 FStar_UInt64_eq_mask(a.low, 233 b.low) 234 & FStar_UInt64_eq_mask(a.high, b.high) 235 }; 236 return flat; 237 } 238 239 FStar_UInt128_uint128 FStar_UInt128_gte_mask(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) 240 { 241 FStar_UInt128_uint128 242 flat = 243 { 244 (FStar_UInt64_gte_mask(a.high, b.high) & ~FStar_UInt64_eq_mask(a.high, b.high)) 245 | (FStar_UInt64_eq_mask(a.high, b.high) & FStar_UInt64_gte_mask(a.low, b.low)), 246 (FStar_UInt64_gte_mask(a.high, b.high) & ~FStar_UInt64_eq_mask(a.high, b.high)) 247 | (FStar_UInt64_eq_mask(a.high, b.high) & FStar_UInt64_gte_mask(a.low, b.low)) 248 }; 249 return flat; 250 } 251 252 FStar_UInt128_uint128 FStar_UInt128_uint64_to_uint128(uint64_t a) 253 { 254 FStar_UInt128_uint128 flat = { a, (uint64_t)0U }; 255 return flat; 256 } 257 258 uint64_t FStar_UInt128_uint128_to_uint64(FStar_UInt128_uint128 a) 259 { 260 return a.low; 261 } 262 263 FStar_UInt128_uint128 264 (*FStar_UInt128_op_Plus_Hat)(FStar_UInt128_uint128 x0, FStar_UInt128_uint128 x1) = 265 FStar_UInt128_add; 266 267 FStar_UInt128_uint128 268 (*FStar_UInt128_op_Plus_Question_Hat)(FStar_UInt128_uint128 x0, FStar_UInt128_uint128 x1) = 269 FStar_UInt128_add_underspec; 270 271 FStar_UInt128_uint128 272 (*FStar_UInt128_op_Plus_Percent_Hat)(FStar_UInt128_uint128 x0, FStar_UInt128_uint128 x1) = 273 FStar_UInt128_add_mod; 274 275 FStar_UInt128_uint128 276 (*FStar_UInt128_op_Subtraction_Hat)(FStar_UInt128_uint128 x0, FStar_UInt128_uint128 x1) = 277 FStar_UInt128_sub; 278 279 FStar_UInt128_uint128 280 (*FStar_UInt128_op_Subtraction_Question_Hat)( 281 FStar_UInt128_uint128 x0, 282 FStar_UInt128_uint128 x1 283 ) = FStar_UInt128_sub_underspec; 284 285 FStar_UInt128_uint128 286 (*FStar_UInt128_op_Subtraction_Percent_Hat)(FStar_UInt128_uint128 x0, FStar_UInt128_uint128 x1) = 287 FStar_UInt128_sub_mod; 288 289 FStar_UInt128_uint128 290 (*FStar_UInt128_op_Amp_Hat)(FStar_UInt128_uint128 x0, FStar_UInt128_uint128 x1) = 291 FStar_UInt128_logand; 292 293 FStar_UInt128_uint128 294 (*FStar_UInt128_op_Hat_Hat)(FStar_UInt128_uint128 x0, FStar_UInt128_uint128 x1) = 295 FStar_UInt128_logxor; 296 297 FStar_UInt128_uint128 298 (*FStar_UInt128_op_Bar_Hat)(FStar_UInt128_uint128 x0, FStar_UInt128_uint128 x1) = 299 FStar_UInt128_logor; 300 301 FStar_UInt128_uint128 302 (*FStar_UInt128_op_Less_Less_Hat)(FStar_UInt128_uint128 x0, uint32_t x1) = 303 FStar_UInt128_shift_left; 304 305 FStar_UInt128_uint128 306 (*FStar_UInt128_op_Greater_Greater_Hat)(FStar_UInt128_uint128 x0, uint32_t x1) = 307 FStar_UInt128_shift_right; 308 309 bool 310 (*FStar_UInt128_op_Equals_Hat)(FStar_UInt128_uint128 x0, FStar_UInt128_uint128 x1) = 311 FStar_UInt128_eq; 312 313 bool 314 (*FStar_UInt128_op_Greater_Hat)(FStar_UInt128_uint128 x0, FStar_UInt128_uint128 x1) = 315 FStar_UInt128_gt; 316 317 bool 318 (*FStar_UInt128_op_Less_Hat)(FStar_UInt128_uint128 x0, FStar_UInt128_uint128 x1) = 319 FStar_UInt128_lt; 320 321 bool 322 (*FStar_UInt128_op_Greater_Equals_Hat)(FStar_UInt128_uint128 x0, FStar_UInt128_uint128 x1) = 323 FStar_UInt128_gte; 324 325 bool 326 (*FStar_UInt128_op_Less_Equals_Hat)(FStar_UInt128_uint128 x0, FStar_UInt128_uint128 x1) = 327 FStar_UInt128_lte; 328 329 static uint64_t FStar_UInt128_u64_mod_32(uint64_t a) 330 { 331 return a & (uint64_t)0xffffffffU; 332 } 333 334 static uint32_t FStar_UInt128_u32_32 = (uint32_t)32U; 335 336 static uint64_t FStar_UInt128_u32_combine(uint64_t hi, uint64_t lo) 337 { 338 return lo + (hi << FStar_UInt128_u32_32); 339 } 340 341 FStar_UInt128_uint128 FStar_UInt128_mul32(uint64_t x, uint32_t y) 342 { 343 FStar_UInt128_uint128 344 flat = 345 { 346 FStar_UInt128_u32_combine((x >> FStar_UInt128_u32_32) 347 * (uint64_t)y 348 + (FStar_UInt128_u64_mod_32(x) * (uint64_t)y >> FStar_UInt128_u32_32), 349 FStar_UInt128_u64_mod_32(FStar_UInt128_u64_mod_32(x) * (uint64_t)y)), 350 ((x >> FStar_UInt128_u32_32) 351 * (uint64_t)y 352 + (FStar_UInt128_u64_mod_32(x) * (uint64_t)y >> FStar_UInt128_u32_32)) 353 >> FStar_UInt128_u32_32 354 }; 355 return flat; 356 } 357 358 typedef struct K___uint64_t_uint64_t_uint64_t_uint64_t_s 359 { 360 uint64_t fst; 361 uint64_t snd; 362 uint64_t thd; 363 uint64_t f3; 364 } 365 K___uint64_t_uint64_t_uint64_t_uint64_t; 366 367 static K___uint64_t_uint64_t_uint64_t_uint64_t 368 FStar_UInt128_mul_wide_impl_t_(uint64_t x, uint64_t y) 369 { 370 K___uint64_t_uint64_t_uint64_t_uint64_t 371 flat = 372 { 373 FStar_UInt128_u64_mod_32(x), 374 FStar_UInt128_u64_mod_32(FStar_UInt128_u64_mod_32(x) * FStar_UInt128_u64_mod_32(y)), 375 x 376 >> FStar_UInt128_u32_32, 377 (x >> FStar_UInt128_u32_32) 378 * FStar_UInt128_u64_mod_32(y) 379 + (FStar_UInt128_u64_mod_32(x) * FStar_UInt128_u64_mod_32(y) >> FStar_UInt128_u32_32) 380 }; 381 return flat; 382 } 383 384 static uint64_t FStar_UInt128_u32_combine_(uint64_t hi, uint64_t lo) 385 { 386 return lo + (hi << FStar_UInt128_u32_32); 387 } 388 389 static FStar_UInt128_uint128 FStar_UInt128_mul_wide_impl(uint64_t x, uint64_t y) 390 { 391 K___uint64_t_uint64_t_uint64_t_uint64_t scrut = FStar_UInt128_mul_wide_impl_t_(x, y); 392 uint64_t u1 = scrut.fst; 393 uint64_t w3 = scrut.snd; 394 uint64_t x_ = scrut.thd; 395 uint64_t t_ = scrut.f3; 396 FStar_UInt128_uint128 397 flat = 398 { 399 FStar_UInt128_u32_combine_(u1 * (y >> FStar_UInt128_u32_32) + FStar_UInt128_u64_mod_32(t_), 400 w3), 401 x_ 402 * (y >> FStar_UInt128_u32_32) 403 + (t_ >> FStar_UInt128_u32_32) 404 + ((u1 * (y >> FStar_UInt128_u32_32) + FStar_UInt128_u64_mod_32(t_)) >> FStar_UInt128_u32_32) 405 }; 406 return flat; 407 } 408 409 FStar_UInt128_uint128 FStar_UInt128_mul_wide(uint64_t x, uint64_t y) 410 { 411 return FStar_UInt128_mul_wide_impl(x, y); 412 } 413