// This file is part of meshoptimizer library; see meshoptimizer.h for version/license details #include "meshoptimizer.h" #include #include #include // This work is based on: // Francine Evans, Steven Skiena and Amitabh Varshney. Optimizing Triangle Strips for Fast Rendering. 1996 namespace meshopt { static unsigned int findStripFirst(const unsigned int buffer[][3], unsigned int buffer_size, const unsigned int* valence) { unsigned int index = 0; unsigned int iv = ~0u; for (size_t i = 0; i < buffer_size; ++i) { unsigned int va = valence[buffer[i][0]], vb = valence[buffer[i][1]], vc = valence[buffer[i][2]]; unsigned int v = (va < vb && va < vc) ? va : (vb < vc) ? vb : vc; if (v < iv) { index = unsigned(i); iv = v; } } return index; } static int findStripNext(const unsigned int buffer[][3], unsigned int buffer_size, unsigned int e0, unsigned int e1) { for (size_t i = 0; i < buffer_size; ++i) { unsigned int a = buffer[i][0], b = buffer[i][1], c = buffer[i][2]; if (e0 == a && e1 == b) return (int(i) << 2) | 2; else if (e0 == b && e1 == c) return (int(i) << 2) | 0; else if (e0 == c && e1 == a) return (int(i) << 2) | 1; } return -1; } } // namespace meshopt size_t meshopt_stripify(unsigned int* destination, const unsigned int* indices, size_t index_count, size_t vertex_count, unsigned int restart_index) { assert(destination != indices); assert(index_count % 3 == 0); using namespace meshopt; meshopt_Allocator allocator; const size_t buffer_capacity = 8; unsigned int buffer[buffer_capacity][3] = {}; unsigned int buffer_size = 0; size_t index_offset = 0; unsigned int strip[2] = {}; unsigned int parity = 0; size_t strip_size = 0; // compute vertex valence; this is used to prioritize starting triangle for strips unsigned int* valence = allocator.allocate(vertex_count); memset(valence, 0, vertex_count * sizeof(unsigned int)); for (size_t i = 0; i < index_count; ++i) { unsigned int index = indices[i]; assert(index < vertex_count); valence[index]++; } int next = -1; while (buffer_size > 0 || index_offset < index_count) { assert(next < 0 || (size_t(next >> 2) < buffer_size && (next & 3) < 3)); // fill triangle buffer while (buffer_size < buffer_capacity && index_offset < index_count) { buffer[buffer_size][0] = indices[index_offset + 0]; buffer[buffer_size][1] = indices[index_offset + 1]; buffer[buffer_size][2] = indices[index_offset + 2]; buffer_size++; index_offset += 3; } assert(buffer_size > 0); if (next >= 0) { unsigned int i = next >> 2; unsigned int a = buffer[i][0], b = buffer[i][1], c = buffer[i][2]; unsigned int v = buffer[i][next & 3]; // ordered removal from the buffer memmove(buffer[i], buffer[i + 1], (buffer_size - i - 1) * sizeof(buffer[0])); buffer_size--; // update vertex valences for strip start heuristic valence[a]--; valence[b]--; valence[c]--; // find next triangle (note that edge order flips on every iteration) // in some cases we need to perform a swap to pick a different outgoing triangle edge // for [a b c], the default strip edge is [b c], but we might want to use [a c] int cont = findStripNext(buffer, buffer_size, parity ? strip[1] : v, parity ? v : strip[1]); int swap = cont < 0 ? findStripNext(buffer, buffer_size, parity ? v : strip[0], parity ? strip[0] : v) : -1; if (cont < 0 && swap >= 0) { // [a b c] => [a b a c] destination[strip_size++] = strip[0]; destination[strip_size++] = v; // next strip has same winding // ? a b => b a v strip[1] = v; next = swap; } else { // emit the next vertex in the strip destination[strip_size++] = v; // next strip has flipped winding strip[0] = strip[1]; strip[1] = v; parity ^= 1; next = cont; } } else { // if we didn't find anything, we need to find the next new triangle // we use a heuristic to maximize the strip length unsigned int i = findStripFirst(buffer, buffer_size, &valence[0]); unsigned int a = buffer[i][0], b = buffer[i][1], c = buffer[i][2]; // ordered removal from the buffer memmove(buffer[i], buffer[i + 1], (buffer_size - i - 1) * sizeof(buffer[0])); buffer_size--; // update vertex valences for strip start heuristic valence[a]--; valence[b]--; valence[c]--; // we need to pre-rotate the triangle so that we will find a match in the existing buffer on the next iteration int ea = findStripNext(buffer, buffer_size, c, b); int eb = findStripNext(buffer, buffer_size, a, c); int ec = findStripNext(buffer, buffer_size, b, a); // in some cases we can have several matching edges; since we can pick any edge, we pick the one with the smallest // triangle index in the buffer. this reduces the effect of stripification on ACMR and additionally - for unclear // reasons - slightly improves the stripification efficiency int mine = INT_MAX; mine = (ea >= 0 && mine > ea) ? ea : mine; mine = (eb >= 0 && mine > eb) ? eb : mine; mine = (ec >= 0 && mine > ec) ? ec : mine; if (ea == mine) { // keep abc next = ea; } else if (eb == mine) { // abc -> bca unsigned int t = a; a = b, b = c, c = t; next = eb; } else if (ec == mine) { // abc -> cab unsigned int t = c; c = b, b = a, a = t; next = ec; } if (restart_index) { if (strip_size) destination[strip_size++] = restart_index; destination[strip_size++] = a; destination[strip_size++] = b; destination[strip_size++] = c; // new strip always starts with the same edge winding strip[0] = b; strip[1] = c; parity = 1; } else { if (strip_size) { // connect last strip using degenerate triangles destination[strip_size++] = strip[1]; destination[strip_size++] = a; } // note that we may need to flip the emitted triangle based on parity // we always end up with outgoing edge "cb" in the end unsigned int e0 = parity ? c : b; unsigned int e1 = parity ? b : c; destination[strip_size++] = a; destination[strip_size++] = e0; destination[strip_size++] = e1; strip[0] = e0; strip[1] = e1; parity ^= 1; } } } return strip_size; } size_t meshopt_stripifyBound(size_t index_count) { assert(index_count % 3 == 0); // worst case without restarts is 2 degenerate indices and 3 indices per triangle // worst case with restarts is 1 restart index and 3 indices per triangle return (index_count / 3) * 5; } size_t meshopt_unstripify(unsigned int* destination, const unsigned int* indices, size_t index_count, unsigned int restart_index) { assert(destination != indices); size_t offset = 0; size_t start = 0; for (size_t i = 0; i < index_count; ++i) { if (restart_index && indices[i] == restart_index) { start = i + 1; } else if (i - start >= 2) { unsigned int a = indices[i - 2], b = indices[i - 1], c = indices[i]; // flip winding for odd triangles if ((i - start) & 1) { unsigned int t = a; a = b, b = t; } // although we use restart indices, strip swaps still produce degenerate triangles, so skip them if (a != b && a != c && b != c) { destination[offset + 0] = a; destination[offset + 1] = b; destination[offset + 2] = c; offset += 3; } } } return offset; } size_t meshopt_unstripifyBound(size_t index_count) { assert(index_count == 0 || index_count >= 3); return (index_count == 0) ? 0 : (index_count - 2) * 3; }