| 1 | // |
| 2 | // test suite for bits and bits math functions |
| 3 | // |
| 4 | module bits |
| 5 | |
| 6 | fn test_bits() { |
| 7 | mut i := 0 |
| 8 | mut i1 := u64(0) |
| 9 | |
| 10 | // |
| 11 | // --- LeadingZeros --- |
| 12 | // |
| 13 | |
| 14 | // 8 bit |
| 15 | i = 1 |
| 16 | for x in 0 .. 8 { |
| 17 | // C.printf("x:%02x lz: %d cmp: %d\n", i << x, leading_zeros_8(i << x), 7-x) |
| 18 | assert leading_zeros_8(u8(u8(i) << x)) == 7 - x |
| 19 | } |
| 20 | assert leading_zeros_8(0) == 8 |
| 21 | |
| 22 | // 16 bit |
| 23 | i = 1 |
| 24 | for x in 0 .. 16 { |
| 25 | // C.printf("x:%04x lz: %d cmp: %d\n", u16(i) << x, leading_zeros_16(u16(i) << x), 15-x) |
| 26 | assert leading_zeros_16(u16(i) << x) == 15 - x |
| 27 | } |
| 28 | assert leading_zeros_16(0) == 16 |
| 29 | |
| 30 | // 32 bit |
| 31 | i = 1 |
| 32 | for x in 0 .. 32 { |
| 33 | // C.printf("x:%08x lz: %d cmp: %d\n", u32(i) << x, leading_zeros_32(u32(i) << x), 31-x) |
| 34 | assert leading_zeros_32(u32(i) << x) == 31 - x |
| 35 | } |
| 36 | assert leading_zeros_32(0) == 32 |
| 37 | |
| 38 | // 64 bit |
| 39 | i = 1 |
| 40 | for x in 0 .. 64 { |
| 41 | // C.printf("x:%016llx lz: %llu cmp: %d\n", u64(i) << x, leading_zeros_64(u64(i) << x), 63-x) |
| 42 | assert leading_zeros_64(u64(i) << x) == 63 - x |
| 43 | } |
| 44 | assert leading_zeros_64(0) == 64 |
| 45 | |
| 46 | // |
| 47 | // --- TrailingZeros --- |
| 48 | // |
| 49 | |
| 50 | // 8 bit |
| 51 | i = 1 |
| 52 | for x in 0 .. 8 { |
| 53 | assert trailing_zeros_8(u8(u8(i) << x)) == x |
| 54 | } |
| 55 | assert trailing_zeros_8(0) == 8 |
| 56 | |
| 57 | // 16 bit |
| 58 | i = 1 |
| 59 | for x in 0 .. 16 { |
| 60 | assert trailing_zeros_16(u16(i) << x) == x |
| 61 | } |
| 62 | assert trailing_zeros_16(0) == 16 |
| 63 | |
| 64 | // 32 bit |
| 65 | i = 1 |
| 66 | for x in 0 .. 32 { |
| 67 | assert trailing_zeros_32(u32(i) << x) == x |
| 68 | } |
| 69 | assert trailing_zeros_32(0) == 32 |
| 70 | |
| 71 | // 64 bit |
| 72 | i = 1 |
| 73 | for x in 0 .. 64 { |
| 74 | assert trailing_zeros_64(u64(i) << x) == x |
| 75 | } |
| 76 | assert trailing_zeros_64(0) == 64 |
| 77 | |
| 78 | // |
| 79 | // --- ones_count --- |
| 80 | // |
| 81 | |
| 82 | // 8 bit |
| 83 | i = 0 |
| 84 | for x in 0 .. 9 { |
| 85 | // C.printf("x:%02x lz: %llu cmp: %d\n", u8(i), ones_count_8(u8(i)), x) |
| 86 | assert ones_count_8(u8(i)) == x |
| 87 | i = int(u32(i) << 1) + 1 |
| 88 | } |
| 89 | assert ones_count_8(0) == 0 |
| 90 | assert ones_count_8(0xFF) == 8 |
| 91 | |
| 92 | // 16 bit |
| 93 | i = 0 |
| 94 | for x in 0 .. 17 { |
| 95 | // C.printf("x:%04x lz: %llu cmp: %d\n", u16(i), ones_count_16(u16(i)), x) |
| 96 | assert ones_count_16(u16(i)) == x |
| 97 | i = int(u32(i) << 1) + 1 |
| 98 | } |
| 99 | assert ones_count_16(0) == 0 |
| 100 | assert ones_count_16(0xFFFF) == 16 |
| 101 | |
| 102 | // 32 bit |
| 103 | i = 0 |
| 104 | for x in 0 .. 33 { |
| 105 | // C.printf("x:%08x lz: %llu cmp: %d\n", u32(i), ones_count_32(u32(i)), x) |
| 106 | assert ones_count_32(u32(i)) == x |
| 107 | i = int(u32(i) << 1) + 1 |
| 108 | } |
| 109 | assert ones_count_32(0) == 0 |
| 110 | assert ones_count_32(0xFFFF_FFFF) == 32 |
| 111 | |
| 112 | // 64 bit |
| 113 | i1 = 0 |
| 114 | for x in 0 .. 65 { |
| 115 | // C.printf("x:%016llx lz: %llu cmp: %d\n", u64(i1), ones_count_64(u64(i1)), x) |
| 116 | assert ones_count_64(i1) == x |
| 117 | i1 = (i1 << 1) + 1 |
| 118 | } |
| 119 | assert ones_count_64(0) == 0 |
| 120 | assert ones_count_64(0xFFFF_FFFF_FFFF_FFFF) == 64 |
| 121 | |
| 122 | // |
| 123 | // --- rotate_left/right --- |
| 124 | // |
| 125 | assert rotate_left_8(0x12, 4) == 0x21 |
| 126 | assert rotate_left_16(0x1234, 8) == 0x3412 |
| 127 | assert rotate_left_32(0x12345678, 16) == 0x56781234 |
| 128 | assert rotate_left_64(0x1234567887654321, 32) == 0x8765432112345678 |
| 129 | |
| 130 | // |
| 131 | // --- reverse --- |
| 132 | // |
| 133 | |
| 134 | // 8 bit |
| 135 | i = 0 |
| 136 | for _ in 0 .. 9 { |
| 137 | mut rv := u8(0) |
| 138 | mut bc := 0 |
| 139 | mut n := i |
| 140 | for bc < 8 { |
| 141 | rv = (rv << 1) | (u8(n) & 0x01) |
| 142 | bc++ |
| 143 | n = n >> 1 |
| 144 | } |
| 145 | // C.printf("x:%02x lz: %llu cmp: %d\n", u8(i), reverse_8(u8(i)), rv) |
| 146 | assert reverse_8(u8(i)) == rv |
| 147 | i = int(u32(i) << 1) + 1 |
| 148 | } |
| 149 | |
| 150 | // 16 bit |
| 151 | i = 0 |
| 152 | for _ in 0 .. 17 { |
| 153 | mut rv := u16(0) |
| 154 | mut bc := 0 |
| 155 | mut n := i |
| 156 | for bc < 16 { |
| 157 | rv = (rv << 1) | (u16(n) & 0x01) |
| 158 | bc++ |
| 159 | n = n >> 1 |
| 160 | } |
| 161 | // C.printf("x:%04x lz: %llu cmp: %d\n", u16(i), reverse_16(u16(i)), rv) |
| 162 | assert reverse_16(u16(i)) == rv |
| 163 | i = int(u32(i) << 1) + 1 |
| 164 | } |
| 165 | |
| 166 | // 32 bit |
| 167 | i = 0 |
| 168 | for _ in 0 .. 33 { |
| 169 | mut rv := u32(0) |
| 170 | mut bc := 0 |
| 171 | mut n := i |
| 172 | for bc < 32 { |
| 173 | rv = (rv << 1) | (u32(n) & 0x01) |
| 174 | bc++ |
| 175 | n = n >> 1 |
| 176 | } |
| 177 | // C.printf("x:%08x lz: %llu cmp: %d\n", u32(i), reverse_32(u32(i)), rv) |
| 178 | assert reverse_32(u32(i)) == rv |
| 179 | i = int(u32(i) << 1) + 1 |
| 180 | } |
| 181 | |
| 182 | // 64 bit |
| 183 | i1 = 0 |
| 184 | for _ in 0 .. 64 { |
| 185 | mut rv := u64(0) |
| 186 | mut bc := 0 |
| 187 | mut n := i1 |
| 188 | for bc < 64 { |
| 189 | rv = (rv << 1) | (n & 0x01) |
| 190 | bc++ |
| 191 | n = n >> 1 |
| 192 | } |
| 193 | // C.printf("x:%016llx lz: %016llx cmp: %016llx\n", u64(i1), reverse_64(u64(i1)), rv) |
| 194 | assert reverse_64(i1) == rv |
| 195 | i1 = (i1 << 1) + 1 |
| 196 | } |
| 197 | |
| 198 | // |
| 199 | // --- add --- |
| 200 | // |
| 201 | |
| 202 | // 32 bit |
| 203 | i = 1 |
| 204 | for x in 0 .. 32 { |
| 205 | v := u32(i) << x |
| 206 | sum, carry := add_32(v, v, u32(0)) |
| 207 | // C.printf("x:%08x [%llu,%llu] %llu\n", u32(i) << x, sum, carry, u64(v) + u64(v)) |
| 208 | assert ((u64(carry) << 32) | u64(sum)) == u64(v) + u64(v) |
| 209 | } |
| 210 | mut sum_32t, mut carry_32t := add_32(0x8000_0000, 0x8000_0000, u32(0)) |
| 211 | assert sum_32t == u32(0) |
| 212 | assert carry_32t == u32(1) |
| 213 | |
| 214 | sum_32t, carry_32t = add_32(0xFFFF_FFFF, 0xFFFF_FFFF, u32(1)) |
| 215 | assert sum_32t == 0xFFFF_FFFF |
| 216 | assert carry_32t == u32(1) |
| 217 | |
| 218 | // 64 bit |
| 219 | i = 1 |
| 220 | for x in 0 .. 63 { |
| 221 | v := u64(i) << x |
| 222 | sum, carry := add_64(v, v, u64(0)) |
| 223 | // C.printf("x:%16x [%llu,%llu] %llu\n", u64(i) << x, sum, carry, u64(v >> 32) + u64(v >> 32)) |
| 224 | assert ((carry << 32) | sum) == v + v |
| 225 | } |
| 226 | mut sum_64t, mut carry_64t := add_64(0x8000_0000_0000_0000, 0x8000_0000_0000_0000, u64(0)) |
| 227 | assert sum_64t == u64(0) |
| 228 | assert carry_64t == u64(1) |
| 229 | |
| 230 | sum_64t, carry_64t = add_64(0xFFFF_FFFF_FFFF_FFFF, 0xFFFF_FFFF_FFFF_FFFF, u64(1)) |
| 231 | assert sum_64t == 0xFFFF_FFFF_FFFF_FFFF |
| 232 | assert carry_64t == u64(1) |
| 233 | |
| 234 | // |
| 235 | // --- sub --- |
| 236 | // |
| 237 | |
| 238 | // 32 bit |
| 239 | i = 1 |
| 240 | for x in 1 .. 32 { |
| 241 | v0 := u32(i) << x |
| 242 | v1 := v0 >> 1 |
| 243 | mut diff, mut borrow_out := sub_32(v0, v1, u32(0)) |
| 244 | // C.printf("x:%08x [%llu,%llu] %08x\n", u32(i) << x, diff, borrow_out, v0 - v1) |
| 245 | assert diff == v1 |
| 246 | |
| 247 | diff, borrow_out = sub_32(v0, v1, u32(1)) |
| 248 | // C.printf("x:%08x [%llu,%llu] %08x\n", u32(i) << x, diff, borrow_out, v0 - v1) |
| 249 | assert diff == (v1 - 1) |
| 250 | assert borrow_out == u32(0) |
| 251 | |
| 252 | diff, borrow_out = sub_32(v1, v0, u32(1)) |
| 253 | // C.printf("x:%08x [%llu,%llu] %08x\n", u32(i) << x, diff, borrow_out, v1 - v0) |
| 254 | assert borrow_out == u32(1) |
| 255 | } |
| 256 | |
| 257 | // 64 bit |
| 258 | i = 1 |
| 259 | for x in 1 .. 64 { |
| 260 | v0 := u64(i) << x |
| 261 | v1 := v0 >> 1 |
| 262 | mut diff, mut borrow_out := sub_64(v0, v1, u64(0)) |
| 263 | // C.printf("x:%08x [%llu,%llu] %08x\n", u64(i) << x, diff, borrow_out, v0 - v1) |
| 264 | assert diff == v1 |
| 265 | |
| 266 | diff, borrow_out = sub_64(v0, v1, u64(1)) |
| 267 | // C.printf("x:%08x [%llu,%llu] %08x\n", u64(i) << x, diff, borrow_out, v0 - v1) |
| 268 | assert diff == (v1 - 1) |
| 269 | assert borrow_out == u64(0) |
| 270 | |
| 271 | diff, borrow_out = sub_64(v1, v0, u64(1)) |
| 272 | // C.printf("x:%08x [%llu,%llu] %08x\n",u64(i) << x, diff, borrow_out, v1 - v0) |
| 273 | assert borrow_out == u64(1) |
| 274 | } |
| 275 | |
| 276 | // |
| 277 | // --- mul --- |
| 278 | // |
| 279 | |
| 280 | // 32 bit |
| 281 | i = 1 |
| 282 | for x in 0 .. 32 { |
| 283 | v0 := u32(i) << x |
| 284 | v1 := v0 - 1 |
| 285 | hi, lo := mul_32(v0, v1) |
| 286 | assert (u64(hi) << 32) | (u64(lo)) == u64(v0) * u64(v1) |
| 287 | v2 := u32(x) |
| 288 | h, l := mul_add_32(v0, v1, v2) |
| 289 | assert (u64(h) << 32) | (u64(l)) == u64(v0) * u64(v1) + u64(v2) |
| 290 | } |
| 291 | |
| 292 | // 64 bit |
| 293 | i = 1 |
| 294 | for x in 0 .. 64 { |
| 295 | v0 := u64(i) << x |
| 296 | v1 := v0 - 1 |
| 297 | hi, lo := mul_64(v0, v1) |
| 298 | // C.printf("v0: %llu v1: %llu [%llu,%llu] tt: %llu\n", v0, v1, hi, lo, (v0 >> 32) * (v1 >> 32)) |
| 299 | assert (hi & 0xFFFF_FFFF_0000_0000) == (((v0 >> 32) * (v1 >> 32)) & 0xFFFF_FFFF_0000_0000) |
| 300 | assert (lo & 0x0000_0000_FFFF_FFFF) == (((v0 & 0x0000_0000_FFFF_FFFF) * (v1 & 0x0000_0000_FFFF_FFFF)) & 0x0000_0000_FFFF_FFFF) |
| 301 | v2 := u64(x) |
| 302 | h, l := mul_add_64(v0, v1, v2) |
| 303 | assert (h & 0xFFFF_FFFF_0000_0000) == (((v0 >> 32) * (v1 >> 32)) & 0xFFFF_FFFF_0000_0000) |
| 304 | assert (l & 0x0000_0000_FFFF_FFFF) == (( |
| 305 | (v0 & 0x0000_0000_FFFF_FFFF) * (v1 & 0x0000_0000_FFFF_FFFF) + v2) & 0x0000_0000_FFFF_FFFF) |
| 306 | } |
| 307 | |
| 308 | // |
| 309 | // --- div --- |
| 310 | // |
| 311 | |
| 312 | // 32 bit |
| 313 | i = 1 |
| 314 | for x in 0 .. 31 { |
| 315 | hi := u32(i) << x |
| 316 | lo := hi - 1 |
| 317 | y := u32(3) << x |
| 318 | quo, rem := div_32(hi, lo, y) |
| 319 | // C.printf("[%08x_%08x] %08x (%08x,%08x)\n", hi, lo, y, quo, rem) |
| 320 | tst := ((u64(hi) << 32) | u64(lo)) |
| 321 | assert quo == (tst / u64(y)) |
| 322 | assert rem == (tst % u64(y)) |
| 323 | assert rem == rem_32(hi, lo, y) |
| 324 | } |
| 325 | |
| 326 | // 64 bit |
| 327 | i = 1 |
| 328 | for x in 0 .. 62 { |
| 329 | hi := u64(i) << x |
| 330 | lo := u64(2) // hi - 1 |
| 331 | y := u64(0x4000_0000_0000_0000) |
| 332 | quo, rem := div_64(hi, lo, y) |
| 333 | // C.printf("[%016llx_%016llx] %016llx (%016llx,%016llx)\n", hi, lo, y, quo, rem) |
| 334 | assert quo == u64(2) << (x + 1) |
| 335 | _, rem1 := div_64(hi % y, lo, y) |
| 336 | assert rem == rem1 |
| 337 | assert rem == rem_64(hi, lo, y) |
| 338 | } |
| 339 | } |
| 340 | |
| 341 | fn test_div_64_edge_cases() { |
| 342 | qq, rr := div_64(10, 12, 11) |
| 343 | assert qq == 16769767339735956015 |
| 344 | assert rr == 7 |
| 345 | q, r := div_64(0, 23, 10000000000000000000) |
| 346 | assert q == 0 |
| 347 | assert r == 23 |
| 348 | } |
| 349 | |