locate first span of length 'n' using rank and select (#3)

Reviewed-on: #3
Co-authored-by: Greg Burd <greg@burd.me>
Co-committed-by: Greg Burd <greg@burd.me>
This commit is contained in:
Gregory Burd 2024-04-07 20:38:57 +00:00 committed by Gregory Burd
parent 9d3f87837b
commit f857692c3c
6 changed files with 485 additions and 141 deletions

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@ -102,7 +102,7 @@ PointerAlignment: Right
ContinuationIndentWidth: 2
IndentWidth: 2
TabWidth: 2
ColumnLimit: 80
ColumnLimit: 160
UseTab: Never
SpaceAfterCStyleCast: false
IncludeBlocks: Regroup

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@ -70,74 +70,39 @@ main(void)
{
int i = 0;
rnd_ctx_t prng;
int array[1024] = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17,
18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36,
37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55,
56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 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, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334,
335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349,
350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364,
365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379,
380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394,
395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409,
410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424,
425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439,
440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454,
455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469,
470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484,
485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499,
500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514,
515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529,
530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544,
545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559,
560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574,
575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589,
590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604,
605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619,
620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634,
635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649,
650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664,
665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679,
680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694,
695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709,
710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724,
725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739,
740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754,
755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769,
770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784,
785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799,
800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814,
815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829,
830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844,
845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859,
860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874,
875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889,
890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904,
905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919,
920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934,
935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949,
950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964,
965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979,
980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994,
995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007,
1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019,
1020, 1021, 1022, 1023, 1024 };
int array[1024] = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37,
38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 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, 322, 323, 324, 325, 326, 327, 328, 329,
330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360,
361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391,
392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422,
423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453,
454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484,
485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515,
516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546,
547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577,
578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608,
609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639,
640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670,
671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701,
702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732,
733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763,
764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794,
795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825,
826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856,
857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887,
888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918,
919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949,
950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980,
981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009,
1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024 };
// disable buffering
setbuf(stderr, 0);

329
examples/ex_4.c Normal file
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@ -0,0 +1,329 @@
#include <assert.h>
#include <ctype.h>
#include <stdarg.h>
#include <stdio.h>
#include <stdlib.h>
#include <time.h>
#include <unistd.h>
#include "../include/sparsemap.h"
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wvariadic-macros"
#define __diag(...) \
do { \
fprintf(stderr, "%s:%d:%s(): ", __FILE__, __LINE__, __func__); \
fprintf(stderr, __VA_ARGS__); \
} while (0)
#pragma GCC diagnostic pop
#define SEED
uint32_t
xorshift(int *state)
{
if (!state) {
return 0;
}
// Xorshift algorithm
uint32_t x = *state; // Dereference state to get the current state value
if (x == 0) x = 123456789; // Ensure the state is never zero; use a default seed if so
x ^= x << 13;
x ^= x >> 17;
x ^= x << 5;
*state = x; // Update the state
return x; // Return the new state as the next pseudo-random number
}
void
shuffle(int *array, size_t n, int *prng)
{
size_t i, j;
if (n > 1) {
for (i = n - 1; i > 0; i--) {
j = (unsigned int)(xorshift(prng) % (i + 1));
// XOR swap algorithm
if (i != j) { // avoid self-swap leading to zero-ing the element
array[i] = array[i] ^ array[j];
array[j] = array[i] ^ array[j];
array[i] = array[i] ^ array[j];
}
}
}
}
int
compare_ints(const void *a, const void *b)
{
return *(const int *)a - *(const int *)b;
}
// Check if there's already a sequence of 'r' sequential integers
int has_sequential_set(int *a, size_t l, int r) {
int count = 1; // Start with a count of 1 for the first number
for (size_t i = 1; i < l; ++i) {
if (a[i] - a[i - 1] == 1) { // Check if the current and previous elements are sequential
count++;
if (count >= r) return 1; // Found a sequential set of length 'r'
} else {
count = 1; // Reset count if the sequence breaks
}
}
return 0; // No sequential set of length 'r' found
}
// Function to ensure an array contains a set of 'r' sequential integers
void ensure_sequential_set(int *a, size_t l, int r, uint32_t *prng) {
if (r > l) return; // If 'r' is greater than array length, cannot satisfy the condition
// Sort the array to check for existing sequences
qsort(a, l, sizeof(int), compare_ints);
// Check if a sequential set of length 'r' already exists
if (has_sequential_set(a, l, r)) {
return; // Sequence already exists, no modification needed
}
// Find the minimum and maximum values in the array
int min_value = a[0];
int max_value = a[l - 1];
// Generate a random value between min_value and max_value
int value = xorshift(prng) % (max_value - min_value - r + 1);
// Generate a random location between 0 and l - r
int offset = xorshift(prng) % (l + r + 1);
// Adjust the array to include a sequential set of 'r' integers at the random offset
for (int i = 0; i < r; ++i) {
a[i + offset] = value + i;
}
}
void
print_array(int *array, size_t l)
{
int a[l];
memcpy(a, array, sizeof(int) * l);
qsort(a, l, sizeof(int), compare_ints);
printf("int a[] = {");
for (int i = 0; i < l; i++) {
printf("%d", a[i]);
if (i != l) {
printf(", ");
}
}
printf("};\n");
}
bool
has_span(sparsemap_t *map, int *array, size_t l, size_t n)
{
if (n == 0 || l == 0 || n > l) {
return false;
}
int sorted[l];
memcpy(sorted, array, sizeof(int) * l);
qsort(sorted, l, sizeof(int), compare_ints);
for (size_t i = 0; i <= l - n; i++) {
if (sorted[i] + n - 1 == sorted[i + n - 1]) {
#if 0
fprintf(stderr, "Found span: ");
for (size_t j = i; j < i + n; j++) {
fprintf(stderr, "%d ", sorted[j]);
}
fprintf(stderr, "\n");
#endif
for (size_t j = 0; j < n; j++) {
size_t pos = sorted[j + i];
bool set = sparsemap_is_set(map, pos);
assert(set);
}
__diag("Found span: [%d, %d], length: %zu\n", sorted[i], sorted[i + n - 1], n);
return true;
}
}
return false;
}
bool
is_span(int *array, size_t n, int x, int l)
{
if (n == 0 || l < 0) {
return false;
}
int a[n];
memcpy(a, array, sizeof(int) * n);
qsort(a, n, sizeof(int), compare_ints);
// Iterate through the array to find a span starting at x of length l
for (size_t i = 0; i < n; i++) {
if (a[i] == x) {
// Check if the span can fit in the array
if (i + l - 1 < n && a[i + l - 1] == x + l - 1) {
return true; // Found the span
}
}
}
return false; // Span not found
}
void
print_spans(int *array, size_t n)
{
int a[n];
size_t start = 0, end = 0;
if (n == 0) {
fprintf(stderr, "Array is empty\n");
return;
}
memcpy(a, array, sizeof(int) * n);
qsort(a, n, sizeof(int), compare_ints);
for (size_t i = 1; i < n; i++) {
if (a[i] == a[i - 1] + 1) {
end = i; // Extend the span
} else {
// Print the current span
if (start == end) {
fprintf(stderr, "[%d] ", a[start]);
} else {
fprintf(stderr, "[%d, %d] ", a[start], a[end]);
}
// Move to the next span
start = i;
end = i;
}
}
// Print the last span if needed
if (start == end) {
fprintf(stderr, "[%d]\n", a[start]);
} else {
fprintf(stderr, "[%d, %d]\n", a[start], a[end]);
}
}
bool
was_set(size_t bit, const int array[])
{
for (int i = 0; i < 1024; i++) {
if (array[i] == (int)bit) {
return true;
}
}
return false;
}
#define TEST_ARRAY_SIZE 1024
int
is_unique(int a[], size_t l, int value) {
for (size_t i = 0; i < l; ++i) {
if (a[i] == value) {
return 0; // Not unique
}
}
return 1; // Unique
}
void
setup_test_array(int a[], size_t l, int max_value, int *prng)
{
if (a == NULL || prng == NULL || max_value < 0) return; // Basic error handling and validation
for (size_t i = 0; i < l; ++i) {
int candidate;
do {
candidate = xorshift(prng) % (max_value + 1); // Generate a new value within the specified range
} while (!is_unique(a, i, candidate)); // Repeat until a unique value is found
a[i] = candidate; // Assign the unique value to the array
}
}
int
main(void)
{
int i = 0;
size_t rank;
int array[TEST_ARRAY_SIZE];
int prng;
// seed the PRNG
#ifdef SEED
prng = 8675309;
#else
prng = (unsigned int)time(NULL) ^ getpid();
#endif
// disable buffering
setvbuf(stdout, NULL, _IONBF, 0); // Disable buffering for stdout
setvbuf(stderr, NULL, _IONBF, 0); // Disable buffering for stdout
// start with a 3KiB buffer, TEST_ARRAY_SIZE bits
uint8_t *buf = calloc(3 * 1024, sizeof(uint8_t));
// create the sparse bitmap
sparsemap_t *map = sparsemap(buf, sizeof(uint8_t) * 3 * 1024, 0);
// create an array of ints
setup_test_array(array, TEST_ARRAY_SIZE, 1024 * 3, &prng);
// randomize setting the bits on
shuffle(array, TEST_ARRAY_SIZE, &prng);
//print_array(array, TEST_ARRAY_SIZE);
//print_spans(array, TEST_ARRAY_SIZE);
// set all the bits on in a random order
for (i = 0; i < TEST_ARRAY_SIZE; i++) {
sparsemap_set(map, array[i], true);
assert(sparsemap_is_set(map, array[i]) == true);
}
// for (size_t len = 1; len < 20; len++) {
// for (size_t len = 1; len < TEST_ARRAY_SIZE - 1; len++) {
// for (size_t len = 1; len <= 1; len++) {
// for (size_t len = 2; len <= 2; len++) {
// for (size_t len = 3; len <= 3; len++) {
// for (size_t len = 4; len <= 4; len++) {
// for (size_t len = 5; len <= 5; len++) {
// for (size_t len = 8; len <= 8; len++) {
for (size_t len = 372; len <= 372; len++) {
__diag("================> %lu\n", len);
sparsemap_clear(map);
// set all the bits on in a random order
ensure_sequential_set(array, TEST_ARRAY_SIZE, len, &prng);
shuffle(array, TEST_ARRAY_SIZE, &prng);
print_spans(array, TEST_ARRAY_SIZE);
for (i = 0; i < TEST_ARRAY_SIZE; i++) {
sparsemap_set(map, array[i], true);
assert(sparsemap_is_set(map, array[i]) == true);
}
has_span(map, array, TEST_ARRAY_SIZE, len);
size_t l = sparsemap_span(map, 0, len);
if (l != (size_t)-1) {
__diag("Found span in map starting at %lu of length %lu\n", l, len);
__diag("is_span(%lu, %lu) == %s\n", l, len, is_span(array, TEST_ARRAY_SIZE, l, len) ? "yes" : "no");
i = (int)l;
do {
bool set = sparsemap_is_set(map, i);
if (set) {
__diag("verified %d was set\n", i);
} else {
__diag("darn, %d was not really set, %s\n", i, was_set(i, array) ? "but we thought it was" : "because it wasn't");
}
} while (++i < l + len);
} else {
__diag("UNABLE TO FIND SPAN in map of length %lu\n", len);
}
}
return 0;
}

View file

@ -105,8 +105,7 @@ sm_idx_t sparsemap_get_start_offset(sparsemap_t *map);
size_t sparsemap_get_size(sparsemap_t *map);
/* Decompresses the whole bitmap; calls scanner for all bits. */
void sparsemap_scan(sparsemap_t *map, void (*scanner)(sm_idx_t[], size_t),
size_t skip);
void sparsemap_scan(sparsemap_t *map, void (*scanner)(sm_idx_t[], size_t), size_t skip);
/* Appends all chunk maps from |map| starting at |sstart| to |other|, then
reduces the chunk map-count appropriately. */
@ -118,4 +117,6 @@ size_t sparsemap_select(sparsemap_t *map, size_t n);
/* Counts the set bits in the range [offset, idx]. */
size_t sparsemap_rank(sparsemap_t *map, size_t offset, size_t idx);
size_t sparsemap_span(sparsemap_t *map, size_t loc, size_t len);
#endif

BIN
main

Binary file not shown.

View file

@ -17,23 +17,20 @@
#include <assert.h>
#include <errno.h>
#include <popcount.h>
#include <sparsemap.h>
#include <stdbool.h>
#include <stdint.h>
#include <stdlib.h>
#include <popcount.h>
#include <sparsemap.h>
#ifdef SPARSEMAP_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wpedantic"
#pragma GCC diagnostic ignored "-Wvariadic-macros"
#include <stdarg.h>
#define __sm_diag(format, ...) \
__sm_diag_(__FILE__, __LINE__, __func__, format, ##__VA_ARGS__)
#define __sm_diag(format, ...) __sm_diag_(__FILE__, __LINE__, __func__, format, ##__VA_ARGS__)
#pragma GCC diagnostic pop
void __attribute__((format(printf, 4, 5))) __sm_diag_(const char *file,
int line, const char *func, const char *format, ...)
void __attribute__((format(printf, 4, 5))) __sm_diag_(const char *file, int line, const char *func, const char *format, ...)
{
va_list args;
va_start(args, format);
@ -47,10 +44,9 @@ void __attribute__((format(printf, 4, 5))) __sm_diag_(const char *file,
#ifndef SPARSEMAP_ASSERT
#define SPARSEMAP_ASSERT
#define __sm_assert(expr) \
if (!(expr)) \
fprintf(stderr, "%s:%d:%s(): assertion failed! %s", __FILE__, __LINE__, \
__func__, #expr)
#define __sm_assert(expr) \
if (!(expr)) \
fprintf(stderr, "%s:%d:%s(): assertion failed! %s", __FILE__, __LINE__, __func__, #expr)
#else
#define __sm_assert(expr) ((void)0)
#endif
@ -59,7 +55,7 @@ enum __SM_CHUNK_INFO {
/* metadata overhead: 4 bytes for __sm_chunk_t count */
SM_SIZEOF_OVERHEAD = sizeof(uint32_t),
/* number of bits that can be stored in a BitVector */
/* number of bits that can be stored in a sm_bitvec_t */
SM_BITS_PER_VECTOR = (sizeof(sm_bitvec_t) * 8),
/* number of flags that can be stored in a single index byte */
@ -137,8 +133,7 @@ static size_t
__sm_chunk_map_get_position(__sm_chunk_t *map, size_t bv)
{
// handle 4 indices (1 byte) at a time
size_t num_bytes = bv /
((size_t)SM_FLAGS_PER_INDEX_BYTE * SM_BITS_PER_VECTOR);
size_t num_bytes = bv / ((size_t)SM_FLAGS_PER_INDEX_BYTE * SM_BITS_PER_VECTOR);
size_t position = 0;
register uint8_t *p = (uint8_t *)map->m_data;
@ -148,8 +143,7 @@ __sm_chunk_map_get_position(__sm_chunk_t *map, size_t bv)
bv -= num_bytes * SM_FLAGS_PER_INDEX_BYTE;
for (size_t i = 0; i < bv; i++) {
size_t flags = ((*map->m_data) & ((sm_bitvec_t)SM_FLAG_MASK << (i * 2))) >>
(i * 2);
size_t flags = ((*map->m_data) & ((sm_bitvec_t)SM_FLAG_MASK << (i * 2))) >> (i * 2);
if (flags == SM_PAYLOAD_MIXED) {
position++;
}
@ -161,7 +155,7 @@ __sm_chunk_map_get_position(__sm_chunk_t *map, size_t bv)
/**
* Initialize __sm_chunk_t with provided data.
*/
static void
static inline void
__sm_chunk_map_init(__sm_chunk_t *map, uint8_t *data)
{
map->m_data = (sm_bitvec_t *)data;
@ -234,8 +228,7 @@ __sm_chunk_map_is_empty(__sm_chunk_t *map)
for (size_t i = 0; i < sizeof(sm_bitvec_t); i++, p++) {
if (*p) {
for (int j = 0; j < SM_FLAGS_PER_INDEX_BYTE; j++) {
size_t flags = ((*p) & ((sm_bitvec_t)SM_FLAG_MASK << (j * 2))) >>
(j * 2);
size_t flags = ((*p) & ((sm_bitvec_t)SM_FLAG_MASK << (j * 2))) >> (j * 2);
if (flags != SM_PAYLOAD_NONE && flags != SM_PAYLOAD_ZEROS) {
return (false);
}
@ -273,8 +266,7 @@ __sm_chunk_map_is_set(__sm_chunk_t *map, size_t idx)
__sm_assert(bv < SM_FLAGS_PER_INDEX);
/* now retrieve the flags of that sm_bitvec_t */
size_t flags = ((*map->m_data) & ((sm_bitvec_t)SM_FLAG_MASK << (bv * 2))) >>
(bv * 2);
size_t flags = ((*map->m_data) & ((sm_bitvec_t)SM_FLAG_MASK << (bv * 2))) >> (bv * 2);
switch (flags) {
case SM_PAYLOAD_ZEROS:
case SM_PAYLOAD_NONE:
@ -302,16 +294,14 @@ __sm_chunk_map_is_set(__sm_chunk_t *map, size_t idx)
* this time with |retried| = true.
*/
static int
__sm_chunk_map_set(__sm_chunk_t *map, size_t idx, bool value, size_t *pos,
sm_bitvec_t *fill, bool retried)
__sm_chunk_map_set(__sm_chunk_t *map, size_t idx, bool value, size_t *pos, sm_bitvec_t *fill, bool retried)
{
/* In which sm_bitvec_t is |idx| stored? */
size_t bv = idx / SM_BITS_PER_VECTOR;
__sm_assert(bv < SM_FLAGS_PER_INDEX);
/* Now retrieve the flags of that sm_bitvec_t. */
size_t flags = ((*map->m_data) & ((sm_bitvec_t)SM_FLAG_MASK << (bv * 2))) >>
(bv * 2);
size_t flags = ((*map->m_data) & ((sm_bitvec_t)SM_FLAG_MASK << (bv * 2))) >> (bv * 2);
assert(flags != SM_PAYLOAD_NONE);
if (flags == SM_PAYLOAD_ZEROS) {
/* Easy - set bit to 0 in a sm_bitvec_t of zeroes. */
@ -381,11 +371,11 @@ __sm_chunk_map_set(__sm_chunk_t *map, size_t idx, bool value, size_t *pos,
}
/**
* Returns the index of the 'nth' set bit; sets |*pnew_n| to 0 if the
* Returns the index of the n'th set bit; sets |*pnew_n| to 0 if the
* n'th bit was found in this __sm_chunk_t, or to the new, reduced value of |n|
*/
static size_t
__sm_chunk_map_select(__sm_chunk_t *map, ssize_t n, ssize_t *pnew_n)
__sm_chunk_map_select(__sm_chunk_t *map, size_t n, ssize_t *pnew_n)
{
size_t ret = 0;
register uint8_t *p;
@ -417,8 +407,7 @@ __sm_chunk_map_select(__sm_chunk_t *map, ssize_t n, ssize_t *pnew_n)
return (ret + n);
}
if (flags == SM_PAYLOAD_MIXED) {
sm_bitvec_t w = map->m_data[1 +
__sm_chunk_map_get_position(map, i * SM_FLAGS_PER_INDEX_BYTE + j)];
sm_bitvec_t w = map->m_data[1 + __sm_chunk_map_get_position(map, i * SM_FLAGS_PER_INDEX_BYTE + j)];
for (int k = 0; k < SM_BITS_PER_VECTOR; k++) {
if (w & ((sm_bitvec_t)1 << k)) {
if (n == 0) {
@ -433,15 +422,15 @@ __sm_chunk_map_select(__sm_chunk_t *map, ssize_t n, ssize_t *pnew_n)
}
}
*pnew_n = n;
*pnew_n = (ssize_t)n;
return (ret);
}
/**
* Counts the set bits in the range [0, idx].
* Counts the set bits in the range [first, last] inclusive.
*/
static size_t
__sm_chunk_map_rank(__sm_chunk_t *map, size_t idx)
__sm_chunk_map_rank(__sm_chunk_t *map, size_t first, size_t last, size_t *after)
{
size_t ret = 0;
@ -453,27 +442,64 @@ __sm_chunk_map_rank(__sm_chunk_t *map, size_t idx)
continue;
}
if (flags == SM_PAYLOAD_ZEROS) {
if (idx > SM_BITS_PER_VECTOR) {
idx -= SM_BITS_PER_VECTOR;
if (last > SM_BITS_PER_VECTOR) {
if (*after > SM_BITS_PER_VECTOR) {
*after = *after - SM_BITS_PER_VECTOR;
} else {
last -= SM_BITS_PER_VECTOR - *after;
*after = 0;
}
} else {
return (ret);
}
} else if (flags == SM_PAYLOAD_ONES) {
if (idx > SM_BITS_PER_VECTOR) {
idx -= SM_BITS_PER_VECTOR;
ret += SM_BITS_PER_VECTOR;
if (last > SM_BITS_PER_VECTOR) {
if (*after > SM_BITS_PER_VECTOR) {
*after = *after - SM_BITS_PER_VECTOR;
} else {
last -= SM_BITS_PER_VECTOR - *after;
if (*after == 0) {
ret += SM_BITS_PER_VECTOR;
}
*after = 0;
}
} else {
return (ret + idx);
return (ret + last);
}
} else if (flags == SM_PAYLOAD_MIXED) {
if (idx > SM_BITS_PER_VECTOR) {
idx -= SM_BITS_PER_VECTOR;
ret += popcountll((uint64_t)map->m_data[1 +
__sm_chunk_map_get_position(map, i * SM_FLAGS_PER_INDEX_BYTE + j)]);
if (last > SM_BITS_PER_VECTOR) {
last -= SM_BITS_PER_VECTOR;
if (*after > SM_BITS_PER_VECTOR) {
*after = *after - SM_BITS_PER_VECTOR;
} else {
sm_bitvec_t w = map->m_data[1 + __sm_chunk_map_get_position(map, i * SM_FLAGS_PER_INDEX_BYTE + j)];
uint64_t mask = UINT64_MAX;
if (*after > 0) {
mask = ~(mask >> (SM_BITS_PER_VECTOR - *after));
size_t amt = popcountll(w & mask);
if (amt <= *after) {
*after = *after - amt;
} else {
*after = 0;
ret += popcountll(w & ~mask);
}
} else {
ret += popcountll(w);
}
}
} else {
sm_bitvec_t w = map->m_data[1 +
__sm_chunk_map_get_position(map, i * SM_FLAGS_PER_INDEX_BYTE + j)];
for (size_t k = 0; k < idx; k++) {
sm_bitvec_t w = map->m_data[1 + __sm_chunk_map_get_position(map, i * SM_FLAGS_PER_INDEX_BYTE + j)];
size_t ks = 0;
if (*after > 0) {
if (*after > last) {
ks = last;
*after = *after - last;
} else {
ks += *after;
*after = 0;
}
}
for (size_t k = ks; k < last; k++) {
if (w & ((sm_bitvec_t)1 << k)) {
ret++;
}
@ -491,8 +517,7 @@ __sm_chunk_map_rank(__sm_chunk_t *map, size_t idx)
* Returns the number of (set) bits that were passed to the scanner
*/
static size_t
__sm_chunk_map_scan(__sm_chunk_t *map, sm_idx_t start,
void (*scanner)(sm_idx_t[], size_t), size_t skip)
__sm_chunk_map_scan(__sm_chunk_t *map, sm_idx_t start, void (*scanner)(sm_idx_t[], size_t), size_t skip)
{
size_t ret = 0;
register uint8_t *p = (uint8_t *)map->m_data;
@ -529,8 +554,7 @@ __sm_chunk_map_scan(__sm_chunk_t *map, sm_idx_t start,
ret += SM_BITS_PER_VECTOR;
}
} else if (flags == SM_PAYLOAD_MIXED) {
sm_bitvec_t w = map->m_data[1 +
__sm_chunk_map_get_position(map, i * SM_FLAGS_PER_INDEX_BYTE + j)];
sm_bitvec_t w = map->m_data[1 + __sm_chunk_map_get_position(map, i * SM_FLAGS_PER_INDEX_BYTE + j)];
int n = 0;
if (skip) {
for (int b = 0; b < SM_BITS_PER_VECTOR; b++) {
@ -691,8 +715,7 @@ __sm_append_data(sparsemap_t *map, uint8_t *buffer, size_t buffer_size)
* Inserts data somewhere in the middle of m_data.
*/
static int
__sm_insert_data(sparsemap_t *map, size_t offset, uint8_t *buffer,
size_t buffer_size)
__sm_insert_data(sparsemap_t *map, size_t offset, uint8_t *buffer, size_t buffer_size)
{
if (map->m_data_used + buffer_size > map->m_data_size) {
__sm_assert(!"buffer overflow");
@ -703,6 +726,7 @@ __sm_insert_data(sparsemap_t *map, size_t offset, uint8_t *buffer,
memmove(p + buffer_size, p, map->m_data_used - offset);
memcpy(p, buffer, buffer_size);
map->m_data_used += buffer_size;
return 0;
}
/**
@ -718,8 +742,8 @@ __sm_remove_data(sparsemap_t *map, size_t offset, size_t gap_size)
}
/**
* Clears the whole buffer
*/
* Clears the whole buffer
*/
void
sparsemap_clear(sparsemap_t *map)
{
@ -916,8 +940,7 @@ sparsemap_set(sparsemap_t *map, size_t idx, bool value)
/* Now update the __sm_chunk_t. */
size_t position;
sm_bitvec_t fill;
int code = __sm_chunk_map_set(&chunk, idx - start, value, &position, &fill,
false);
int code = __sm_chunk_map_set(&chunk, idx - start, value, &position, &fill, false);
switch (code) {
case SM_OK:
break;
@ -926,8 +949,7 @@ sparsemap_set(sparsemap_t *map, size_t idx, bool value)
offset += sizeof(sm_idx_t) + position * sizeof(sm_bitvec_t);
__sm_insert_data(map, offset, (uint8_t *)&fill, sizeof(sm_bitvec_t));
}
code = __sm_chunk_map_set(&chunk, idx - start, value, &position, &fill,
true);
code = __sm_chunk_map_set(&chunk, idx - start, value, &position, &fill, true);
__sm_assert(code == SM_OK);
break;
case SM_NEEDS_TO_SHRINK:
@ -979,8 +1001,7 @@ sparsemap_get_size(sparsemap_t *map)
* Decompresses the whole bitmap; calls scanner for all bits.
*/
void
sparsemap_scan(sparsemap_t *map, void (*scanner)(sm_idx_t[], size_t),
size_t skip)
sparsemap_scan(sparsemap_t *map, void (*scanner)(sm_idx_t[], size_t), size_t skip)
{
uint8_t *p = __sm_get_chunk_map_data(map, 0);
size_t count = __sm_get_chunk_map_count(map);
@ -1129,7 +1150,6 @@ sparsemap_select(sparsemap_t *map, size_t n)
assert(sparsemap_get_size(map) >= SM_SIZEOF_OVERHEAD);
size_t result = 0;
size_t count = __sm_get_chunk_map_count(map);
uint8_t *p = __sm_get_chunk_map_data(map, 0);
for (size_t i = 0; i < count; i++) {
@ -1138,7 +1158,7 @@ sparsemap_select(sparsemap_t *map, size_t n)
__sm_chunk_t chunk;
__sm_chunk_map_init(&chunk, p);
ssize_t new_n = n;
ssize_t new_n = (ssize_t)n;
size_t index = __sm_chunk_map_select(&chunk, n, &new_n);
if (new_n == -1) {
return (result + index);
@ -1147,33 +1167,62 @@ sparsemap_select(sparsemap_t *map, size_t n)
p += __sm_chunk_map_get_size(&chunk);
}
#ifdef DEBUG
assert(!"shouldn't be here");
return (0);
#endif
return (size_t)-1;
}
/**
* Counts the set bits in the range [offset, idx].
* Counts the set bits in the range [first, last] inclusive.
*/
size_t
sparsemap_rank(sparsemap_t *map, size_t offset, size_t idx)
sparsemap_rank(sparsemap_t *map, size_t first, size_t last)
{
assert(sparsemap_get_size(map) >= SM_SIZEOF_OVERHEAD);
size_t result = 0;
size_t count = __sm_get_chunk_map_count(map);
uint8_t *p = __sm_get_chunk_map_data(map, offset);
size_t result = 0, after = first, count = __sm_get_chunk_map_count(map);
uint8_t *p = __sm_get_chunk_map_data(map, 0);
for (size_t i = 0; i < count; i++) {
sm_idx_t start = *(sm_idx_t *)p;
if (start > idx) {
if (start > last) {
return (result);
}
p += sizeof(sm_idx_t);
__sm_chunk_t chunk;
__sm_chunk_map_init(&chunk, p);
result += __sm_chunk_map_rank(&chunk, idx - start);
result += __sm_chunk_map_rank(&chunk, first - start, last - start, &after);
p += __sm_chunk_map_get_size(&chunk);
}
return (result);
}
/**
* Finds a span of set bits of at least |len| after |loc|. Returns the index of
* the n'th set bit that starts a span of at least |len| bits set to true.
*/
size_t
sparsemap_span(sparsemap_t *map, size_t loc, size_t len)
{
size_t offset, nth = 0, count = 0;
offset = sparsemap_select(map, 0);
if (len == 1) {
return offset;
}
do {
count = sparsemap_rank(map, offset, offset + len);
if (count == len) {
return offset;
} else {
count = len;
while (--count && sparsemap_is_set(map, offset)) {
nth++;
}
}
offset = sparsemap_select(map, nth);
} while (offset != ((size_t)-1));
return offset;
}