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| 1 | +// Build with `-g -O0` so the functions are real (no inlining) and carry debug |
| 2 | +// names: |
| 3 | +// cc -g -O0 -I callgrind -I include ... |
| 4 | + |
| 5 | +#include <callgrind.h> |
| 6 | + |
| 7 | +#define MAX_DEPTH 5 |
| 8 | +#define BRANCH_FACTOR 3 |
| 9 | +#define FIB_N 25 |
| 10 | +#define MAX_NODES 1024 |
| 11 | + |
| 12 | +typedef struct FractalNode { |
| 13 | + long value; |
| 14 | + int depth; |
| 15 | + unsigned long computed_hash; |
| 16 | + struct FractalNode *children[BRANCH_FACTOR]; |
| 17 | + int num_children; |
| 18 | +} FractalNode; |
| 19 | + |
| 20 | +// Bump-allocated node pool: avoids the allocator frames a heap tree would leak |
| 21 | +// into the profile. Reset at the start of every tree build. |
| 22 | +static FractalNode g_pool[MAX_NODES]; |
| 23 | +static int g_pool_used; |
| 24 | + |
| 25 | +static FractalNode *pool_alloc(void) { |
| 26 | + FractalNode *node = &g_pool[g_pool_used++]; |
| 27 | + node->value = 0; |
| 28 | + node->depth = 0; |
| 29 | + node->computed_hash = 0; |
| 30 | + node->num_children = 0; |
| 31 | + return node; |
| 32 | +} |
| 33 | + |
| 34 | +// Deterministic child seed (integer stand-in for the original golden-ratio sine). |
| 35 | +static long compute_child_value(long parent_value, int child_index, int depth) { |
| 36 | + unsigned long base = (unsigned long)parent_value * 2654435761UL; |
| 37 | + unsigned long offset = (unsigned long)(child_index + 1) * (unsigned long)(depth + 1); |
| 38 | + return (long)(((base ^ (offset * 40503UL)) % 100UL) + 1UL); |
| 39 | +} |
| 40 | + |
| 41 | +static unsigned long compute_tree_hash(const FractalNode *node) { |
| 42 | + unsigned long hash = (unsigned long)node->value; |
| 43 | + hash = hash * 31 + (unsigned long)node->depth; |
| 44 | + |
| 45 | + for (int i = 0; i < node->num_children; i++) { |
| 46 | + hash = hash * 31 + compute_tree_hash(node->children[i]); |
| 47 | + } |
| 48 | + return hash; |
| 49 | +} |
| 50 | + |
| 51 | +static FractalNode *build_fractal(int depth, long seed) { |
| 52 | + FractalNode *node = pool_alloc(); |
| 53 | + node->value = seed; |
| 54 | + node->depth = depth; |
| 55 | + |
| 56 | + if (depth < MAX_DEPTH) { |
| 57 | + node->num_children = BRANCH_FACTOR; |
| 58 | + for (int i = 0; i < BRANCH_FACTOR; i++) { |
| 59 | + long child_seed = compute_child_value(seed, i, depth); |
| 60 | + node->children[i] = build_fractal(depth + 1, child_seed); |
| 61 | + } |
| 62 | + } |
| 63 | + |
| 64 | + node->computed_hash = compute_tree_hash(node); |
| 65 | + return node; |
| 66 | +} |
| 67 | + |
| 68 | +static long recursive_sum(const FractalNode *node) { |
| 69 | + long children_sum = 0; |
| 70 | + for (int i = 0; i < node->num_children; i++) { |
| 71 | + children_sum += recursive_sum(node->children[i]); |
| 72 | + } |
| 73 | + return node->value + children_sum; |
| 74 | +} |
| 75 | + |
| 76 | +static long max_path_sum(const FractalNode *node) { |
| 77 | + if (node->num_children == 0) { |
| 78 | + return node->value; |
| 79 | + } |
| 80 | + |
| 81 | + long max_child_path = 0; |
| 82 | + for (int i = 0; i < node->num_children; i++) { |
| 83 | + long child_path = max_path_sum(node->children[i]); |
| 84 | + if (child_path > max_child_path) { |
| 85 | + max_child_path = child_path; |
| 86 | + } |
| 87 | + } |
| 88 | + return node->value + max_child_path; |
| 89 | +} |
| 90 | + |
| 91 | +static int count_nodes(const FractalNode *node) { |
| 92 | + int count = 1; |
| 93 | + for (int i = 0; i < node->num_children; i++) { |
| 94 | + count += count_nodes(node->children[i]); |
| 95 | + } |
| 96 | + return count; |
| 97 | +} |
| 98 | + |
| 99 | +// Collected leaves land in a shared buffer; the caller resets g_leaf_count. |
| 100 | +static long g_leaves[MAX_NODES]; |
| 101 | +static int g_leaf_count; |
| 102 | + |
| 103 | +static void collect_leaves(const FractalNode *node) { |
| 104 | + if (node->num_children == 0) { |
| 105 | + g_leaves[g_leaf_count++] = node->value; |
| 106 | + return; |
| 107 | + } |
| 108 | + for (int i = 0; i < node->num_children; i++) { |
| 109 | + collect_leaves(node->children[i]); |
| 110 | + } |
| 111 | +} |
| 112 | + |
| 113 | +static int fibonacci_memo(int n, int *memo) { |
| 114 | + if (n <= 1) { |
| 115 | + return n; |
| 116 | + } |
| 117 | + if (memo[n] != -1) { |
| 118 | + return memo[n]; |
| 119 | + } |
| 120 | + |
| 121 | + int result = fibonacci_memo(n - 1, memo) + fibonacci_memo(n - 2, memo); |
| 122 | + memo[n] = result; |
| 123 | + return result; |
| 124 | +} |
| 125 | + |
| 126 | +static long compute_variance(const long *values, int count) { |
| 127 | + if (count == 0) { |
| 128 | + return 0; |
| 129 | + } |
| 130 | + |
| 131 | + long mean = 0; |
| 132 | + for (int i = 0; i < count; i++) { |
| 133 | + mean += values[i]; |
| 134 | + } |
| 135 | + mean /= count; |
| 136 | + |
| 137 | + long variance = 0; |
| 138 | + for (int i = 0; i < count; i++) { |
| 139 | + long diff = values[i] - mean; |
| 140 | + variance += diff * diff; |
| 141 | + } |
| 142 | + return variance / count; |
| 143 | +} |
| 144 | + |
| 145 | +static long recursive_path_score(long value, int depth) { |
| 146 | + if (depth == 0 || value < 2) { |
| 147 | + return value; |
| 148 | + } |
| 149 | + long reduced = (value * 4) / 5; |
| 150 | + return 1 + recursive_path_score(reduced, depth - 1) / 2; |
| 151 | +} |
| 152 | + |
| 153 | +static long compute_complexity_score(int node_count, long variance, long max_path) { |
| 154 | + long base_score = (long)node_count * variance; |
| 155 | + long path_factor = recursive_path_score(max_path, 5); |
| 156 | + return base_score + path_factor; |
| 157 | +} |
| 158 | + |
| 159 | +typedef struct { |
| 160 | + long total_sum; |
| 161 | + int node_count; |
| 162 | + long max_path; |
| 163 | + long leaf_variance; |
| 164 | + long complexity_score; |
| 165 | +} TreeAnalysis; |
| 166 | + |
| 167 | +static TreeAnalysis analyze_fractal_tree(FractalNode *tree, int analysis_depth) { |
| 168 | + long total_sum = recursive_sum(tree); |
| 169 | + int node_count = count_nodes(tree); |
| 170 | + long max_path = max_path_sum(tree); |
| 171 | + |
| 172 | + g_leaf_count = 0; |
| 173 | + collect_leaves(tree); |
| 174 | + long leaf_variance = compute_variance(g_leaves, g_leaf_count); |
| 175 | + |
| 176 | + TreeAnalysis analysis; |
| 177 | + if (analysis_depth > 0) { |
| 178 | + TreeAnalysis nested = analyze_fractal_tree(tree, analysis_depth - 1); |
| 179 | + analysis.total_sum = total_sum + nested.total_sum / 10; |
| 180 | + analysis.node_count = node_count; |
| 181 | + analysis.max_path = max_path > nested.max_path ? max_path : nested.max_path; |
| 182 | + analysis.leaf_variance = (leaf_variance + nested.leaf_variance) / 2; |
| 183 | + analysis.complexity_score = |
| 184 | + compute_complexity_score(node_count, leaf_variance, max_path); |
| 185 | + return analysis; |
| 186 | + } |
| 187 | + |
| 188 | + analysis.total_sum = total_sum; |
| 189 | + analysis.node_count = node_count; |
| 190 | + analysis.max_path = max_path; |
| 191 | + analysis.leaf_variance = leaf_variance; |
| 192 | + analysis.complexity_score = compute_complexity_score(node_count, leaf_variance, max_path); |
| 193 | + return analysis; |
| 194 | +} |
| 195 | + |
| 196 | +static long complex_fractal_benchmark(void) { |
| 197 | + g_pool_used = 0; |
| 198 | + FractalNode *tree = build_fractal(0, 42); |
| 199 | + |
| 200 | + TreeAnalysis analysis = analyze_fractal_tree(tree, 2); |
| 201 | + |
| 202 | + int memo[FIB_N + 1]; |
| 203 | + for (int i = 0; i <= FIB_N; i++) { |
| 204 | + memo[i] = -1; |
| 205 | + } |
| 206 | + long fib_result = fibonacci_memo(FIB_N, memo); |
| 207 | + |
| 208 | + long tree_hash = (long)compute_tree_hash(tree); |
| 209 | + long tree_metric = analysis.total_sum + (long)analysis.node_count * 10 + analysis.max_path + |
| 210 | + analysis.leaf_variance + analysis.complexity_score; |
| 211 | + |
| 212 | + return (tree_metric + fib_result + tree_hash) % 1000000; |
| 213 | +} |
| 214 | + |
| 215 | +// Deepest frame: this is where instrumentation is turned on, with |
| 216 | +// main -> run_benchmark -> warmup -> run_measured already live on the native |
| 217 | +// stack but the shadow stack empty. The seeder reconstructs that chain. |
| 218 | +static long run_measured(void) { |
| 219 | + CALLGRIND_START_INSTRUMENTATION; |
| 220 | + CALLGRIND_ZERO_STATS; |
| 221 | + |
| 222 | + long result = complex_fractal_benchmark(); |
| 223 | + |
| 224 | + CALLGRIND_STOP_INSTRUMENTATION; |
| 225 | + return result; |
| 226 | +} |
| 227 | + |
| 228 | +// Two unmeasured warmup iterations (instrumentation still off) before the |
| 229 | +// measured run, like a real benchmark harness. |
| 230 | +static long warmup(void) { |
| 231 | + volatile long acc = 0; |
| 232 | + for (int i = 0; i < 2; i++) { |
| 233 | + acc += complex_fractal_benchmark(); |
| 234 | + } |
| 235 | + (void)acc; |
| 236 | + return run_measured(); |
| 237 | +} |
| 238 | + |
| 239 | +static long run_benchmark(void) { |
| 240 | + return warmup(); |
| 241 | +} |
| 242 | + |
| 243 | +int main(void) { |
| 244 | + volatile long result = run_benchmark(); |
| 245 | + (void)result; |
| 246 | + return 0; |
| 247 | +} |
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