library/stdarch/crates/core_arch/src/x86/macros.rs

   1 //! Utility macros.
   2
   3 macro_rules! constify_imm6 {
   4     ($imm8:expr, $expand:ident) => {
   5         #[allow(overflowing_literals)]
   6         match ($imm8) & 0b1_1111 {
   7             0 => $expand!(0),
   8             1 => $expand!(1),
   9             2 => $expand!(2),
  10             3 => $expand!(3),
  11             4 => $expand!(4),
  12             5 => $expand!(5),
  13             6 => $expand!(6),
  14             7 => $expand!(7),
  15             8 => $expand!(8),
  16             9 => $expand!(9),
  17             10 => $expand!(10),
  18             11 => $expand!(11),
  19             12 => $expand!(12),
  20             13 => $expand!(13),
  21             14 => $expand!(14),
  22             15 => $expand!(15),
  23             16 => $expand!(16),
  24             17 => $expand!(17),
  25             18 => $expand!(18),
  26             19 => $expand!(19),
  27             20 => $expand!(20),
  28             21 => $expand!(21),
  29             22 => $expand!(22),
  30             23 => $expand!(23),
  31             24 => $expand!(24),
  32             25 => $expand!(25),
  33             26 => $expand!(26),
  34             27 => $expand!(27),
  35             28 => $expand!(28),
  36             29 => $expand!(29),
  37             30 => $expand!(30),
  38             _ => $expand!(31),
  39         }
  40     };
  41 }
  42
  43 macro_rules! constify_imm4 {
  44     ($imm8:expr, $expand:ident) => {
  45         #[allow(overflowing_literals)]
  46         match ($imm8) & 0b1111 {
  47             0 => $expand!(0),
  48             1 => $expand!(1),
  49             2 => $expand!(2),
  50             3 => $expand!(3),
  51             4 => $expand!(4),
  52             5 => $expand!(5),
  53             6 => $expand!(6),
  54             7 => $expand!(7),
  55             8 => $expand!(8),
  56             9 => $expand!(9),
  57             10 => $expand!(10),
  58             11 => $expand!(11),
  59             12 => $expand!(12),
  60             13 => $expand!(13),
  61             14 => $expand!(14),
  62             _ => $expand!(15),
  63         }
  64     };
  65 }
  66
  67 macro_rules! constify_imm3 {
  68     ($imm8:expr, $expand:ident) => {
  69         #[allow(overflowing_literals)]
  70         match ($imm8) & 0b111 {
  71             0 => $expand!(0),
  72             1 => $expand!(1),
  73             2 => $expand!(2),
  74             3 => $expand!(3),
  75             4 => $expand!(4),
  76             5 => $expand!(5),
  77             6 => $expand!(6),
  78             _ => $expand!(7),
  79         }
  80     };
  81 }
  82
  83 macro_rules! constify_imm2 {
  84     ($imm8:expr, $expand:ident) => {
  85         #[allow(overflowing_literals)]
  86         match ($imm8) & 0b11 {
  87             0 => $expand!(0),
  88             1 => $expand!(1),
  89             2 => $expand!(2),
  90             _ => $expand!(3),
  91         }
  92     };
  93 }
  94
  95 // Constifies 5 bits along with an sae option without rounding control.
  96 // See: https://github.com/llvm/llvm-project/blob/bd50cf905fa7c0c7caa134301c6ca0658c81eeb1/clang/lib/Sema/SemaChecking.cpp#L3497
  97 #[allow(unused)]
  98 macro_rules! constify_imm5_sae {
  99     ($imm5:expr, $imm4:expr, $expand:ident) => {
 100         #[allow(overflowing_literals)]
 101         match ($imm5 & 0b1111_1, $imm4 & 0b1111) {
 102             (0, 4) => $expand!(0, 4),
 103             (0, 8) => $expand!(0, 8),
 104             (0, 12) => $expand!(0, 12),
 105             (1, 4) => $expand!(1, 4),
 106             (1, 8) => $expand!(1, 8),
 107             (1, 12) => $expand!(1, 12),
 108             (2, 4) => $expand!(2, 4),
 109             (2, 8) => $expand!(2, 8),
 110             (2, 12) => $expand!(2, 12),
 111             (3, 4) => $expand!(3, 4),
 112             (3, 8) => $expand!(3, 8),
 113             (3, 12) => $expand!(3, 12),
 114             (4, 4) => $expand!(4, 4),
 115             (4, 8) => $expand!(4, 8),
 116             (4, 12) => $expand!(4, 12),
 117             (5, 4) => $expand!(5, 4),
 118             (5, 8) => $expand!(5, 8),
 119             (5, 12) => $expand!(5, 12),
 120             (6, 4) => $expand!(6, 4),
 121             (6, 8) => $expand!(6, 8),
 122             (6, 12) => $expand!(6, 12),
 123             (7, 4) => $expand!(7, 4),
 124             (7, 8) => $expand!(7, 8),
 125             (7, 12) => $expand!(7, 12),
 126             (8, 4) => $expand!(8, 4),
 127             (8, 8) => $expand!(8, 8),
 128             (8, 12) => $expand!(8, 12),
 129             (9, 4) => $expand!(9, 4),
 130             (9, 8) => $expand!(9, 8),
 131             (9, 12) => $expand!(9, 12),
 132             (10, 4) => $expand!(10, 4),
 133             (10, 8) => $expand!(10, 8),
 134             (10, 12) => $expand!(10, 12),
 135             (11, 4) => $expand!(11, 4),
 136             (11, 8) => $expand!(11, 8),
 137             (11, 12) => $expand!(11, 12),
 138             (12, 4) => $expand!(12, 4),
 139             (12, 8) => $expand!(12, 8),
 140             (12, 12) => $expand!(12, 12),
 141             (13, 4) => $expand!(13, 4),
 142             (13, 8) => $expand!(13, 8),
 143             (13, 12) => $expand!(13, 12),
 144             (14, 4) => $expand!(14, 4),
 145             (14, 8) => $expand!(14, 8),
 146             (14, 12) => $expand!(14, 12),
 147             (15, 4) => $expand!(15, 4),
 148             (15, 8) => $expand!(15, 8),
 149             (15, 12) => $expand!(15, 12),
 150             (16, 4) => $expand!(16, 4),
 151             (16, 8) => $expand!(16, 8),
 152             (16, 12) => $expand!(16, 12),
 153             (17, 4) => $expand!(17, 4),
 154             (17, 8) => $expand!(17, 8),
 155             (17, 12) => $expand!(17, 12),
 156             (18, 4) => $expand!(18, 4),
 157             (18, 8) => $expand!(18, 8),
 158             (18, 12) => $expand!(18, 12),
 159             (19, 4) => $expand!(19, 4),
 160             (19, 8) => $expand!(19, 8),
 161             (19, 12) => $expand!(19, 12),
 162             (20, 4) => $expand!(20, 4),
 163             (20, 8) => $expand!(20, 8),
 164             (20, 12) => $expand!(20, 12),
 165             (21, 4) => $expand!(21, 4),
 166             (21, 8) => $expand!(21, 8),
 167             (21, 12) => $expand!(21, 12),
 168             (22, 4) => $expand!(22, 4),
 169             (22, 8) => $expand!(22, 8),
 170             (22, 12) => $expand!(22, 12),
 171             (23, 4) => $expand!(23, 4),
 172             (23, 8) => $expand!(23, 8),
 173             (23, 12) => $expand!(23, 12),
 174             (24, 4) => $expand!(24, 4),
 175             (24, 8) => $expand!(24, 8),
 176             (24, 12) => $expand!(24, 12),
 177             (25, 4) => $expand!(25, 4),
 178             (25, 8) => $expand!(25, 8),
 179             (25, 12) => $expand!(25, 12),
 180             (26, 4) => $expand!(26, 4),
 181             (26, 8) => $expand!(26, 8),
 182             (26, 12) => $expand!(26, 12),
 183             (27, 4) => $expand!(27, 4),
 184             (27, 8) => $expand!(27, 8),
 185             (27, 12) => $expand!(27, 12),
 186             (28, 4) => $expand!(28, 4),
 187             (28, 8) => $expand!(28, 8),
 188             (28, 12) => $expand!(28, 12),
 189             (29, 4) => $expand!(29, 4),
 190             (29, 8) => $expand!(29, 8),
 191             (29, 12) => $expand!(29, 12),
 192             (30, 4) => $expand!(30, 4),
 193             (30, 8) => $expand!(30, 8),
 194             (30, 12) => $expand!(30, 12),
 195             (31, 4) => $expand!(31, 4),
 196             (31, 8) => $expand!(31, 8),
 197             (31, 12) => $expand!(31, 12),
 198             (_, _) => panic!("Invalid sae value"),
 199         }
 200     };
 201 }
 202
 203 // For gather instructions, the only valid values for scale are 1, 2, 4 and 8.
 204 // This macro enforces that.
 205 #[allow(unused)]
 206 macro_rules! constify_imm8_gather {
 207     ($imm8:expr, $expand:ident) => {
 208         #[allow(overflowing_literals)]
 209         match ($imm8) {
 210             1 => $expand!(1),
 211             2 => $expand!(2),
 212             4 => $expand!(4),
 213             8 => $expand!(8),
 214             _ => panic!("Only 1, 2, 4, and 8 are valid values"),
 215         }
 216     };
 217 }
 218
 219 // For round instructions, the only valid values for rounding are 4, 8, 9, 10 and 11.
 220 // This macro enforces that.
 221 #[allow(unused)]
 222 macro_rules! constify_imm4_round {
 223     ($imm8:expr, $expand:ident) => {
 224         #[allow(overflowing_literals)]
 225         match ($imm8) & 0b1111 {
 226             4 => $expand!(4),
 227             8 => $expand!(8),
 228             9 => $expand!(9),
 229             10 => $expand!(10),
 230             11 => $expand!(11),
 231             _ => panic!("Invalid round value"),
 232         }
 233     };
 234 }
 235
 236 // For sae instructions, the only valid values for sae are 4 and 8.
 237 // This macro enforces that.
 238 #[allow(unused)]
 239 macro_rules! constify_imm4_sae {
 240     ($imm8:expr, $expand:ident) => {
 241         #[allow(overflowing_literals)]
 242         match ($imm8) & 0b1111 {
 243             4 => $expand!(4),
 244             8 => $expand!(8),
 245             _ => panic!("Invalid sae value"),
 246         }
 247     };
 248 }
 249
 250 // Two mantissas parameters.
 251 // This macro enforces that.
 252 #[allow(unused)]
 253 macro_rules! constify_imm4_mantissas {
 254     ($imm4:expr, $imm2:expr, $expand:ident) => {
 255         #[allow(overflowing_literals)]
 256         match ($imm4, $imm2) {
 257             (0, 0) => $expand!(0, 0),
 258             (0, 1) => $expand!(0, 1),
 259             (0, 2) => $expand!(0, 2),
 260             (0, 3) => $expand!(0, 3),
 261             (1, 0) => $expand!(1, 0),
 262             (1, 1) => $expand!(1, 1),
 263             (1, 2) => $expand!(1, 2),
 264             (1, 3) => $expand!(1, 3),
 265             (2, 0) => $expand!(2, 0),
 266             (2, 1) => $expand!(2, 1),
 267             (2, 2) => $expand!(2, 2),
 268             (2, 3) => $expand!(2, 3),
 269             (3, 0) => $expand!(3, 0),
 270             (3, 1) => $expand!(3, 1),
 271             (3, 2) => $expand!(3, 2),
 272             (3, 3) => $expand!(3, 3),
 273             (4, 0) => $expand!(4, 0),
 274             (4, 1) => $expand!(4, 1),
 275             (4, 2) => $expand!(4, 2),
 276             (4, 3) => $expand!(4, 3),
 277             (5, 0) => $expand!(5, 0),
 278             (5, 1) => $expand!(5, 1),
 279             (5, 2) => $expand!(5, 2),
 280             (5, 3) => $expand!(5, 3),
 281             (6, 0) => $expand!(6, 0),
 282             (6, 1) => $expand!(6, 1),
 283             (6, 2) => $expand!(6, 2),
 284             (6, 3) => $expand!(6, 3),
 285             (7, 0) => $expand!(7, 0),
 286             (7, 1) => $expand!(7, 1),
 287             (7, 2) => $expand!(7, 2),
 288             (7, 3) => $expand!(7, 3),
 289             (8, 0) => $expand!(8, 0),
 290             (8, 1) => $expand!(8, 1),
 291             (8, 2) => $expand!(8, 2),
 292             (8, 3) => $expand!(8, 3),
 293             (9, 0) => $expand!(9, 0),
 294             (9, 1) => $expand!(9, 1),
 295             (9, 2) => $expand!(9, 2),
 296             (9, 3) => $expand!(9, 3),
 297             (10, 0) => $expand!(10, 0),
 298             (10, 1) => $expand!(10, 1),
 299             (10, 2) => $expand!(10, 2),
 300             (10, 3) => $expand!(10, 3),
 301             (11, 0) => $expand!(11, 0),
 302             (11, 1) => $expand!(11, 1),
 303             (11, 2) => $expand!(11, 2),
 304             (11, 3) => $expand!(11, 3),
 305             (12, 0) => $expand!(12, 0),
 306             (12, 1) => $expand!(12, 1),
 307             (12, 2) => $expand!(12, 2),
 308             (12, 3) => $expand!(12, 3),
 309             (13, 0) => $expand!(13, 0),
 310             (13, 1) => $expand!(13, 1),
 311             (13, 2) => $expand!(13, 2),
 312             (13, 3) => $expand!(13, 3),
 313             (14, 0) => $expand!(14, 0),
 314             (14, 1) => $expand!(14, 1),
 315             (14, 2) => $expand!(14, 2),
 316             (14, 3) => $expand!(14, 3),
 317             (15, 0) => $expand!(15, 0),
 318             (15, 1) => $expand!(15, 1),
 319             (15, 2) => $expand!(15, 2),
 320             (15, 3) => $expand!(15, 3),
 321             (_, _) => panic!("Invalid sae value"),
 322         }
 323     };
 324 }
 325
 326 // Include mantissas parameters.
 327 // For sae instructions, the only valid values for sae are 4 and 8.
 328 // This macro enforces that.
 329 #[allow(unused)]
 330 macro_rules! constify_imm4_mantissas_sae {
 331     ($imm4_1:expr, $imm2:expr, $imm4_2:expr, $expand:ident) => {
 332         #[allow(overflowing_literals)]
 333         match ($imm4_1, $imm2, $imm4_2) {
 334             (0, 0, 4) => $expand!(0, 0, 4),
 335             (0, 0, 8) => $expand!(0, 0, 8),
 336             (0, 1, 4) => $expand!(0, 1, 4),
 337             (0, 1, 8) => $expand!(0, 1, 8),
 338             (0, 2, 4) => $expand!(0, 2, 4),
 339             (0, 2, 8) => $expand!(0, 2, 8),
 340             (0, 3, 4) => $expand!(0, 3, 4),
 341             (0, 3, 8) => $expand!(0, 3, 8),
 342             (1, 0, 4) => $expand!(1, 0, 4),
 343             (1, 0, 8) => $expand!(1, 0, 8),
 344             (1, 1, 4) => $expand!(1, 1, 4),
 345             (1, 1, 8) => $expand!(1, 1, 8),
 346             (1, 2, 4) => $expand!(1, 2, 4),
 347             (1, 2, 8) => $expand!(1, 2, 8),
 348             (1, 3, 4) => $expand!(1, 3, 4),
 349             (1, 3, 8) => $expand!(1, 3, 8),
 350             (2, 0, 4) => $expand!(2, 0, 4),
 351             (2, 0, 8) => $expand!(2, 0, 8),
 352             (2, 1, 4) => $expand!(2, 1, 4),
 353             (2, 1, 8) => $expand!(2, 1, 8),
 354             (2, 2, 4) => $expand!(2, 2, 4),
 355             (2, 2, 8) => $expand!(2, 2, 8),
 356             (2, 3, 4) => $expand!(2, 3, 4),
 357             (2, 3, 8) => $expand!(2, 3, 8),
 358             (3, 0, 4) => $expand!(3, 0, 4),
 359             (3, 0, 8) => $expand!(3, 0, 8),
 360             (3, 1, 4) => $expand!(3, 1, 4),
 361             (3, 1, 8) => $expand!(3, 1, 8),
 362             (3, 2, 4) => $expand!(3, 2, 4),
 363             (3, 2, 8) => $expand!(3, 2, 8),
 364             (3, 3, 4) => $expand!(3, 3, 4),
 365             (3, 3, 8) => $expand!(3, 3, 8),
 366             (4, 0, 4) => $expand!(4, 0, 4),
 367             (4, 0, 8) => $expand!(4, 0, 8),
 368             (4, 1, 4) => $expand!(4, 1, 4),
 369             (4, 1, 8) => $expand!(4, 1, 8),
 370             (4, 2, 4) => $expand!(4, 2, 4),
 371             (4, 2, 8) => $expand!(4, 2, 8),
 372             (4, 3, 4) => $expand!(4, 3, 4),
 373             (4, 3, 8) => $expand!(4, 3, 8),
 374             (5, 0, 4) => $expand!(5, 0, 4),
 375             (5, 0, 8) => $expand!(5, 0, 8),
 376             (5, 1, 4) => $expand!(5, 1, 4),
 377             (5, 1, 8) => $expand!(5, 1, 8),
 378             (5, 2, 4) => $expand!(5, 2, 4),
 379             (5, 2, 8) => $expand!(5, 2, 8),
 380             (5, 3, 4) => $expand!(5, 3, 4),
 381             (5, 3, 8) => $expand!(5, 3, 8),
 382             (6, 0, 4) => $expand!(6, 0, 4),
 383             (6, 0, 8) => $expand!(6, 0, 8),
 384             (6, 1, 4) => $expand!(6, 1, 4),
 385             (6, 1, 8) => $expand!(6, 1, 8),
 386             (6, 2, 4) => $expand!(6, 2, 4),
 387             (6, 2, 8) => $expand!(6, 2, 8),
 388             (6, 3, 4) => $expand!(6, 3, 4),
 389             (6, 3, 8) => $expand!(6, 3, 8),
 390             (7, 0, 4) => $expand!(7, 0, 4),
 391             (7, 0, 8) => $expand!(7, 0, 8),
 392             (7, 1, 4) => $expand!(7, 1, 4),
 393             (7, 1, 8) => $expand!(7, 1, 8),
 394             (7, 2, 4) => $expand!(7, 2, 4),
 395             (7, 2, 8) => $expand!(7, 2, 8),
 396             (7, 3, 4) => $expand!(7, 3, 4),
 397             (7, 3, 8) => $expand!(7, 3, 8),
 398             (8, 0, 4) => $expand!(8, 0, 4),
 399             (8, 0, 8) => $expand!(8, 0, 8),
 400             (8, 1, 4) => $expand!(8, 1, 4),
 401             (8, 1, 8) => $expand!(8, 1, 8),
 402             (8, 2, 4) => $expand!(8, 2, 4),
 403             (8, 2, 8) => $expand!(8, 2, 8),
 404             (8, 3, 4) => $expand!(8, 3, 4),
 405             (8, 3, 8) => $expand!(8, 3, 8),
 406             (9, 0, 4) => $expand!(9, 0, 4),
 407             (9, 0, 8) => $expand!(9, 0, 8),
 408             (9, 1, 4) => $expand!(9, 1, 4),
 409             (9, 1, 8) => $expand!(9, 1, 8),
 410             (9, 2, 4) => $expand!(9, 2, 4),
 411             (9, 2, 8) => $expand!(9, 2, 8),
 412             (9, 3, 4) => $expand!(9, 3, 4),
 413             (9, 3, 8) => $expand!(9, 3, 8),
 414             (10, 0, 4) => $expand!(10, 0, 4),
 415             (10, 0, 8) => $expand!(10, 0, 8),
 416             (10, 1, 4) => $expand!(10, 1, 4),
 417             (10, 1, 8) => $expand!(10, 1, 8),
 418             (10, 2, 4) => $expand!(10, 2, 4),
 419             (10, 2, 8) => $expand!(10, 2, 8),
 420             (10, 3, 4) => $expand!(10, 3, 4),
 421             (10, 3, 8) => $expand!(10, 3, 8),
 422             (11, 0, 4) => $expand!(11, 0, 4),
 423             (11, 0, 8) => $expand!(11, 0, 8),
 424             (11, 1, 4) => $expand!(11, 1, 4),
 425             (11, 1, 8) => $expand!(11, 1, 8),
 426             (11, 2, 4) => $expand!(11, 2, 4),
 427             (11, 2, 8) => $expand!(11, 2, 8),
 428             (11, 3, 4) => $expand!(11, 3, 4),
 429             (11, 3, 8) => $expand!(11, 3, 8),
 430             (12, 0, 4) => $expand!(12, 0, 4),
 431             (12, 0, 8) => $expand!(12, 0, 8),
 432             (12, 1, 4) => $expand!(12, 1, 4),
 433             (12, 1, 8) => $expand!(12, 1, 8),
 434             (12, 2, 4) => $expand!(12, 2, 4),
 435             (12, 2, 8) => $expand!(12, 2, 8),
 436             (12, 3, 4) => $expand!(12, 3, 4),
 437             (12, 3, 8) => $expand!(12, 3, 8),
 438             (13, 0, 4) => $expand!(13, 0, 4),
 439             (13, 0, 8) => $expand!(13, 0, 8),
 440             (13, 1, 4) => $expand!(13, 1, 4),
 441             (13, 1, 8) => $expand!(13, 1, 8),
 442             (13, 2, 4) => $expand!(13, 2, 4),
 443             (13, 2, 8) => $expand!(13, 2, 8),
 444             (13, 3, 4) => $expand!(13, 3, 4),
 445             (13, 3, 8) => $expand!(13, 3, 8),
 446             (14, 0, 4) => $expand!(14, 0, 4),
 447             (14, 0, 8) => $expand!(14, 0, 8),
 448             (14, 1, 4) => $expand!(14, 1, 4),
 449             (14, 1, 8) => $expand!(14, 1, 8),
 450             (14, 2, 4) => $expand!(14, 2, 4),
 451             (14, 2, 8) => $expand!(14, 2, 8),
 452             (14, 3, 4) => $expand!(14, 3, 4),
 453             (14, 3, 8) => $expand!(14, 3, 8),
 454             (15, 0, 4) => $expand!(15, 0, 4),
 455             (15, 0, 8) => $expand!(15, 0, 8),
 456             (15, 1, 4) => $expand!(15, 1, 4),
 457             (15, 1, 8) => $expand!(15, 1, 8),
 458             (15, 2, 4) => $expand!(15, 2, 4),
 459             (15, 2, 8) => $expand!(15, 2, 8),
 460             (15, 3, 4) => $expand!(15, 3, 4),
 461             (15, 3, 8) => $expand!(15, 3, 8),
 462             (_, _, _) => panic!("Invalid sae value"),
 463         }
 464     };
 465 }
 466
 467 // Constifies 8 bits along with an sae option without rounding control.
 468 // The only valid values are 0 to 255.
 469 // This macro enforces that.
 470 #[allow(unused)]
 471 macro_rules! constify_imm8_sae {
 472     ($imm8:expr, $expand:ident) => {
 473         #[allow(overflowing_literals)]
 474         match ($imm8) & 0b1111_1111 {
 475             0 => $expand!(0),
 476             1 => $expand!(1),
 477             2 => $expand!(2),
 478             3 => $expand!(3),
 479             4 => $expand!(4),
 480             5 => $expand!(5),
 481             6 => $expand!(6),
 482             7 => $expand!(7),
 483             8 => $expand!(8),
 484             9 => $expand!(9),
 485             10 => $expand!(10),
 486             11 => $expand!(11),
 487             12 => $expand!(12),
 488             13 => $expand!(13),
 489             14 => $expand!(14),
 490             15 => $expand!(15),
 491             16 => $expand!(16),
 492             17 => $expand!(17),
 493             18 => $expand!(18),
 494             19 => $expand!(19),
 495             20 => $expand!(20),
 496             21 => $expand!(21),
 497             22 => $expand!(22),
 498             23 => $expand!(23),
 499             24 => $expand!(24),
 500             25 => $expand!(25),
 501             26 => $expand!(26),
 502             27 => $expand!(27),
 503             28 => $expand!(28),
 504             29 => $expand!(29),
 505             30 => $expand!(30),
 506             31 => $expand!(31),
 507             32 => $expand!(32),
 508             33 => $expand!(33),
 509             34 => $expand!(34),
 510             35 => $expand!(35),
 511             36 => $expand!(36),
 512             37 => $expand!(37),
 513             38 => $expand!(38),
 514             39 => $expand!(39),
 515             40 => $expand!(40),
 516             41 => $expand!(41),
 517             42 => $expand!(42),
 518             43 => $expand!(43),
 519             44 => $expand!(44),
 520             45 => $expand!(45),
 521             46 => $expand!(46),
 522             47 => $expand!(47),
 523             48 => $expand!(48),
 524             49 => $expand!(49),
 525             50 => $expand!(50),
 526             51 => $expand!(51),
 527             52 => $expand!(52),
 528             53 => $expand!(53),
 529             54 => $expand!(54),
 530             55 => $expand!(55),
 531             56 => $expand!(56),
 532             57 => $expand!(57),
 533             58 => $expand!(58),
 534             59 => $expand!(59),
 535             60 => $expand!(60),
 536             61 => $expand!(61),
 537             62 => $expand!(62),
 538             63 => $expand!(63),
 539             64 => $expand!(64),
 540             65 => $expand!(65),
 541             66 => $expand!(66),
 542             67 => $expand!(67),
 543             68 => $expand!(68),
 544             69 => $expand!(69),
 545             70 => $expand!(70),
 546             71 => $expand!(71),
 547             72 => $expand!(72),
 548             73 => $expand!(73),
 549             74 => $expand!(74),
 550             75 => $expand!(75),
 551             76 => $expand!(76),
 552             77 => $expand!(77),
 553             78 => $expand!(78),
 554             79 => $expand!(79),
 555             80 => $expand!(80),
 556             81 => $expand!(81),
 557             82 => $expand!(82),
 558             83 => $expand!(83),
 559             84 => $expand!(84),
 560             85 => $expand!(85),
 561             86 => $expand!(86),
 562             87 => $expand!(87),
 563             88 => $expand!(88),
 564             89 => $expand!(89),
 565             90 => $expand!(90),
 566             91 => $expand!(91),
 567             92 => $expand!(92),
 568             93 => $expand!(93),
 569             94 => $expand!(94),
 570             95 => $expand!(95),
 571             96 => $expand!(96),
 572             97 => $expand!(97),
 573             98 => $expand!(98),
 574             99 => $expand!(99),
 575             100 => $expand!(100),
 576             101 => $expand!(101),
 577             102 => $expand!(102),
 578             103 => $expand!(103),
 579             104 => $expand!(104),
 580             105 => $expand!(105),
 581             106 => $expand!(106),
 582             107 => $expand!(107),
 583             108 => $expand!(108),
 584             109 => $expand!(109),
 585             110 => $expand!(110),
 586             111 => $expand!(111),
 587             112 => $expand!(112),
 588             113 => $expand!(113),
 589             114 => $expand!(114),
 590             115 => $expand!(115),
 591             116 => $expand!(116),
 592             117 => $expand!(117),
 593             118 => $expand!(118),
 594             119 => $expand!(119),
 595             120 => $expand!(120),
 596             121 => $expand!(121),
 597             122 => $expand!(122),
 598             123 => $expand!(123),
 599             124 => $expand!(124),
 600             125 => $expand!(125),
 601             126 => $expand!(126),
 602             127 => $expand!(127),
 603             128 => $expand!(128),
 604             129 => $expand!(129),
 605             130 => $expand!(130),
 606             131 => $expand!(131),
 607             132 => $expand!(132),
 608             133 => $expand!(133),
 609             134 => $expand!(134),
 610             135 => $expand!(135),
 611             136 => $expand!(136),
 612             137 => $expand!(137),
 613             138 => $expand!(138),
 614             139 => $expand!(139),
 615             140 => $expand!(140),
 616             141 => $expand!(141),
 617             142 => $expand!(142),
 618             143 => $expand!(143),
 619             144 => $expand!(144),
 620             145 => $expand!(145),
 621             146 => $expand!(146),
 622             147 => $expand!(147),
 623             148 => $expand!(148),
 624             149 => $expand!(149),
 625             150 => $expand!(150),
 626             151 => $expand!(151),
 627             152 => $expand!(152),
 628             153 => $expand!(153),
 629             154 => $expand!(154),
 630             155 => $expand!(155),
 631             156 => $expand!(156),
 632             157 => $expand!(157),
 633             158 => $expand!(158),
 634             159 => $expand!(159),
 635             160 => $expand!(160),
 636             161 => $expand!(161),
 637             162 => $expand!(162),
 638             163 => $expand!(163),
 639             164 => $expand!(164),
 640             165 => $expand!(165),
 641             166 => $expand!(166),
 642             167 => $expand!(167),
 643             168 => $expand!(168),
 644             169 => $expand!(169),
 645             170 => $expand!(170),
 646             171 => $expand!(171),
 647             172 => $expand!(172),
 648             173 => $expand!(173),
 649             174 => $expand!(174),
 650             175 => $expand!(175),
 651             176 => $expand!(176),
 652             177 => $expand!(177),
 653             178 => $expand!(178),
 654             179 => $expand!(179),
 655             180 => $expand!(180),
 656             181 => $expand!(181),
 657             182 => $expand!(182),
 658             183 => $expand!(183),
 659             184 => $expand!(184),
 660             185 => $expand!(185),
 661             186 => $expand!(186),
 662             187 => $expand!(187),
 663             188 => $expand!(188),
 664             189 => $expand!(189),
 665             190 => $expand!(190),
 666             191 => $expand!(191),
 667             192 => $expand!(192),
 668             193 => $expand!(193),
 669             194 => $expand!(194),
 670             195 => $expand!(195),
 671             196 => $expand!(196),
 672             197 => $expand!(197),
 673             198 => $expand!(198),
 674             199 => $expand!(199),
 675             200 => $expand!(200),
 676             201 => $expand!(201),
 677             202 => $expand!(202),
 678             203 => $expand!(203),
 679             204 => $expand!(204),
 680             205 => $expand!(205),
 681             206 => $expand!(206),
 682             207 => $expand!(207),
 683             208 => $expand!(208),
 684             209 => $expand!(209),
 685             210 => $expand!(210),
 686             211 => $expand!(211),
 687             212 => $expand!(212),
 688             213 => $expand!(213),
 689             214 => $expand!(214),
 690             215 => $expand!(215),
 691             216 => $expand!(216),
 692             217 => $expand!(217),
 693             218 => $expand!(218),
 694             219 => $expand!(219),
 695             220 => $expand!(220),
 696             221 => $expand!(221),
 697             222 => $expand!(222),
 698             223 => $expand!(223),
 699             224 => $expand!(224),
 700             225 => $expand!(225),
 701             226 => $expand!(226),
 702             227 => $expand!(227),
 703             228 => $expand!(228),
 704             229 => $expand!(229),
 705             230 => $expand!(230),
 706             231 => $expand!(231),
 707             232 => $expand!(232),
 708             233 => $expand!(233),
 709             234 => $expand!(234),
 710             235 => $expand!(235),
 711             236 => $expand!(236),
 712             237 => $expand!(237),
 713             238 => $expand!(238),
 714             239 => $expand!(239),
 715             240 => $expand!(240),
 716             241 => $expand!(241),
 717             242 => $expand!(242),
 718             243 => $expand!(243),
 719             244 => $expand!(244),
 720             245 => $expand!(245),
 721             246 => $expand!(246),
 722             247 => $expand!(247),
 723             248 => $expand!(248),
 724             249 => $expand!(249),
 725             250 => $expand!(250),
 726             251 => $expand!(251),
 727             252 => $expand!(252),
 728             253 => $expand!(253),
 729             254 => $expand!(254),
 730             255 => $expand!(255),
 731             _ => panic!("Invalid sae value"),
 732         }
 733     };
 734 }
 735
 736 #[cfg(test)]
 737 macro_rules! assert_approx_eq {
 738     ($a:expr, $b:expr, $eps:expr) => {{
 739         let (a, b) = (&$a, &$b);
 740         assert!(
 741             (*a - *b).abs() < $eps,
 742             "assertion failed: `(left !== right)` \
 743              (left: `{:?}`, right: `{:?}`, expect diff: `{:?}`, real diff: `{:?}`)",
 744             *a,
 745             *b,
 746             $eps,
 747             (*a - *b).abs()
 748         );
 749     }};
 750 }