/* date = April 11th 2022 9:57 am */ #ifndef LUMENARIUM_BSP_H #define LUMENARIUM_BSP_H // NOTE(PS): Functionality Notes // - there must always be a root node that contains the area of the tree as a whole // - a node with no children has not been split #define BTREE_NODE_ID_VALID_BIT (1 << 31) typedef struct BSP_Node_Id BSP_Node_Id; struct BSP_Node_Id { u32 value; }; typedef u8 BSP_Split_Kind; enum { BSPSplit_XAxis = 1, BSPSplit_YAxis = 0, BSPSplit_ZAxis = 2, BSPSplit_None = 3, }; typedef struct BSP_Split BSP_Split; struct BSP_Split { BSP_Split_Kind kind; r32 value; }; typedef u8 BSP_Split_Update_Flags; enum { BSPSplitUpdate_None = 0, BSPSplitUpdate_FreeZeroAreaChildren = 1, }; typedef u8 BSP_Child_Selector; enum { // NOTE(PS): these values are intentionally overlapping since // they access the data structure of the B-Tree in a particular // way. ie. left and top are the same space in memory as are // right and bottom BSPChild_Left = 0, BSPChild_Top = 0, BSPChild_Right = 1, BSPChild_Bottom = 1, }; typedef struct BSP_Area BSP_Area; struct BSP_Area { v2 min; v2 max; }; typedef struct BSP_Node BSP_Node; struct BSP_Node { union { BSP_Node_Id parent; BSP_Node_Id next_free; }; BSP_Split split; union { BSP_Node_Id children[2]; struct { union { BSP_Node_Id left; BSP_Node_Id top; }; union { BSP_Node_Id right; BSP_Node_Id bottom; }; }; }; u32 user_data; BSP_Area area; }; typedef struct BSP BSP; struct BSP { BSP_Node* nodes; u32 nodes_cap; u32 nodes_len; BSP_Node_Id root; BSP_Node_Id free_first; }; typedef void BSP_Walk_Cb(BSP* tree, BSP_Node_Id id, BSP_Node* node, u8* user_data); internal BSP bsp_create(Allocator* allocator, u32 cap); internal BSP_Node* bsp_get(BSP* tree, BSP_Node_Id id); internal BSP_Node_Id bsp_push(BSP* tree, BSP_Node_Id parent, BSP_Area area, u32 user_data); internal void bsp_free(BSP* tree, BSP_Node_Id id); internal void bsp_free_cb(BSP* tree, BSP_Node_Id id, BSP_Node* node, u8* user_data); typedef union BSP_Split_Result BSP_Split_Result; union BSP_Split_Result { BSP_Node_Id children[2]; struct { union { BSP_Node_Id left; BSP_Node_Id top; }; union { BSP_Node_Id right; BSP_Node_Id bottom; }; }; }; internal BSP_Split_Result bsp_split(BSP* tree, BSP_Node_Id id, r32 split, BSP_Split_Kind kind, u32 user_data_0, u32 user_data_1); internal void bsp_join_recursive(BSP* tree, BSP_Node_Id parent_id, BSP_Child_Selector keep); // left, parent, right internal void bsp_walk_inorder(BSP* tree, BSP_Node_Id first, BSP_Walk_Cb* cb, u8* user_data); // parent, left right internal void bsp_walk_preorder(BSP* tree, BSP_Node_Id first, BSP_Walk_Cb* cb, u8* user_data); // parent, right, parent internal void bsp_walk_postorder(BSP* tree, BSP_Node_Id first, BSP_Walk_Cb* cb, u8* user_data); internal void bsp_node_update_child_areas(BSP* tree, BSP_Node_Id id, BSP_Node* node, u8* user_data); internal void bsp_node_area_update(BSP* tree, BSP_Node_Id id, BSP_Area new_area); internal void bsp_child_split_update(BSP* tree, BSP_Node_Id node_id, r32 new_split, BSP_Split_Update_Flags flags); /////////////////////////////////////////////////// // IMPLEMENTATION internal BSP bsp_create(Allocator* allocator, u32 cap) { BSP result = {}; zero_struct(result); result.nodes_cap = cap; result.nodes = allocator_alloc_array(allocator, BSP_Node, cap); return result; } #define bsp_node_id_is_valid(id) (has_flag(id.value, BTREE_NODE_ID_VALID_BIT)) #define bsp_node_id_equals(a,b) (a.value == b.value) #define bsp_node_id_to_index(id) (id.value & (u32)(~BTREE_NODE_ID_VALID_BIT)) internal BSP_Node* bsp_get(BSP* tree, BSP_Node_Id id) { if (!bsp_node_id_is_valid(id)) return 0; u32 index = bsp_node_id_to_index(id); if (index > tree->nodes_len) return 0; return tree->nodes + index; } internal BSP_Node_Id bsp_push(BSP* tree, BSP_Node_Id parent_id, BSP_Area area, u32 user_data) { BSP_Node_Id result = (BSP_Node_Id){0}; BSP_Node* node = 0; if (tree->nodes_len >= tree->nodes_cap) { if (bsp_node_id_is_valid(tree->free_first)) { result = tree->free_first; node = bsp_get(tree, result); tree->free_first = node->next_free; zero_struct(node->parent); } } else { result.value = tree->nodes_len++; assert(!has_flag(result.value, BTREE_NODE_ID_VALID_BIT)); add_flag(result.value, BTREE_NODE_ID_VALID_BIT); node = tree->nodes + bsp_node_id_to_index(result); } if (bsp_node_id_is_valid(result)) { zero_struct(*node); node->split.kind = BSPSplit_None; node->parent = parent_id; node->area = area; node->user_data = user_data; } return result; } internal void bsp_free_(BSP* tree, BSP_Node_Id id, BSP_Node* now_free) { if (bsp_node_id_is_valid(now_free->parent)) { BSP_Node* parent = bsp_get(tree, now_free->parent); if (bsp_node_id_equals(parent->children[0], id)) { zero_struct(parent->children[0]); } else if (bsp_node_id_equals(parent->children[1], id)) { zero_struct(parent->children[1]); } else { // NOTE(PS): in this case, a child node had a reference to // a parent that didn't have a reference back to the child // this means the tree itself is messed up invalid_code_path; } } zero_struct(*now_free); now_free->next_free = tree->free_first; tree->free_first = id; } internal void bsp_free(BSP* tree, BSP_Node_Id id) { BSP_Node* now_free = bsp_get(tree, id); bsp_free_(tree, id, now_free); } internal void bsp_free_cb(BSP* tree, BSP_Node_Id id, BSP_Node* node, u8* user_data) { bsp_free_(tree, id, node); } internal BSP_Split_Result bsp_split(BSP* tree, BSP_Node_Id node_id, r32 split, BSP_Split_Kind kind, u32 user_data_0, u32 user_data_1) { BSP_Node* node = bsp_get(tree, node_id); split = clamp(node->area.min.Elements[kind], split, node->area.max.Elements[kind]); node->split.value = split; node->split.kind = kind; node->children[0] = bsp_push(tree, node_id, (BSP_Area){}, user_data_0); node->children[1] = bsp_push(tree, node_id, (BSP_Area){}, user_data_1); bsp_node_update_child_areas(tree, node_id, node, 0); BSP_Split_Result result = {}; result.children[0] = node->children[0]; result.children[1] = node->children[1]; return result; } internal void bsp_join_recursive(BSP* tree, BSP_Node_Id parent_id, BSP_Child_Selector keep) { BSP_Node* parent = bsp_get(tree, parent_id); BSP_Node keep_node = *bsp_get(tree, parent->children[keep]); bsp_walk_preorder(tree, parent->children[0], (BSP_Walk_Cb*)bsp_free_cb, 0); bsp_walk_preorder(tree, parent->children[1], (BSP_Walk_Cb*)bsp_free_cb, 0); parent->user_data = keep_node.user_data; zero_struct(parent->children[0]); zero_struct(parent->children[1]); } // NOTE(PS): the other three walk functions all require allocation of a stack // while this is fast with our scratch allocator, there are cases where, for // correctness, we walk a tree that is very likely to be a single node. In // those cases, we can avoid allocating anything by just visiting the single // node and returning early. // This function provides that functionality for all walk functions internal bool bsp_walk_single_node_check(BSP* tree, BSP_Node_Id first, BSP_Walk_Cb* visit, u8* user_data) { BSP_Node* node = bsp_get(tree, first); if (node->split.kind == BSPSplit_None) { visit(tree, first, node, user_data); return true; } return false; } // left, parent, right internal void bsp_walk_inorder(BSP* tree, BSP_Node_Id first, BSP_Walk_Cb* visit, u8* user_data) { if (!bsp_node_id_is_valid(first)) return; if (bsp_walk_single_node_check(tree, first, visit, user_data)) return; scratch_get(scratch); BSP_Node_Id* stack = allocator_alloc_array(scratch.a, BSP_Node_Id, tree->nodes_len); u32 stack_len = 0; memory_zero_array(stack, BSP_Node_Id, tree->nodes_len); BSP_Node_Id at = first; while (true) { if (bsp_node_id_is_valid(at)) { stack[stack_len++] = at; BSP_Node* n = bsp_get(tree, at); at = n->children[0]; } else { if (stack_len == 0) break; at = stack[--stack_len]; BSP_Node* n = bsp_get(tree, at); visit(tree, at, n, user_data); at = n->children[1]; } } scratch_release(scratch); } // parent, left right internal void bsp_walk_preorder(BSP* tree, BSP_Node_Id first, BSP_Walk_Cb* visit, u8* user_data) { if (bsp_walk_single_node_check(tree, first, visit, user_data)) return; scratch_get(scratch); BSP_Node_Id* stack = allocator_alloc_array(scratch.a, BSP_Node_Id, tree->nodes_len); u32 stack_len = 0; memory_zero_array(stack, BSP_Node_Id, tree->nodes_len); BSP_Node_Id at = first; while (true) { while (bsp_node_id_is_valid(at)) { BSP_Node* n = bsp_get(tree, at); visit(tree, at, n, user_data); stack[stack_len++] = at; at = n->children[0]; } if (!bsp_node_id_is_valid(at) && stack_len == 0) break; at = stack[--stack_len]; BSP_Node* n = bsp_get(tree, at); at = n->children[1]; } scratch_release(scratch); } // parent, right, parent internal void bsp_walk_postorder(BSP* tree, BSP_Node_Id first, BSP_Walk_Cb* visit, u8* user_data) { if (bsp_walk_single_node_check(tree, first, visit, user_data)) return; scratch_get(scratch); BSP_Node_Id* stack = allocator_alloc_array(scratch.a, BSP_Node_Id, tree->nodes_len); u32 stack_len = 0; memory_zero_array(stack, BSP_Node_Id, tree->nodes_len); BSP_Node_Id at = first; while (true) { if (bsp_node_id_is_valid(at)) { BSP_Node* n = bsp_get(tree, at); if (bsp_node_id_is_valid(n->children[1])) stack[stack_len++] = n->children[1]; stack[stack_len++] = at; at = n->children[0]; } else { if (stack_len == 0) break; at = stack[--stack_len]; BSP_Node* n = bsp_get(tree, at); assert(n != 0); if (bsp_node_id_is_valid(n->children[1]) && bsp_node_id_equals(n->children[1], stack[stack_len - 1])) { BSP_Node_Id at_temp = stack[stack_len - 1]; stack[stack_len - 1] = at; at = at_temp; } else { visit(tree, at, n, user_data); zero_struct(at); } } } scratch_release(scratch); } internal void bsp_node_update_child_areas(BSP* tree, BSP_Node_Id id, BSP_Node* node, u8* user_data) { // assume that node's area is correct. Using that, clamp its split as appropriate // and then update its children. If a child has an area of zero, rely on flags // to determine behavior if (node->split.kind == BSPSplit_None) return; BSP_Split_Update_Flags flags = (BSP_Split_Update_Flags)0; if (user_data) flags = *(BSP_Split_Update_Flags*)user_data; BSP_Split_Kind kind = node->split.kind; BSP_Node* node_min = bsp_get(tree, node->children[0]); BSP_Node* node_max = bsp_get(tree, node->children[1]); node_min->area = node->area; node_max->area = node->area; node_min->area.max.Elements[kind] = node->split.value; node_max->area.min.Elements[kind] = node->split.value; if (has_flag(flags, BSPSplitUpdate_FreeZeroAreaChildren)) { bool free_children = false; if (node_min->area.max.Elements[kind] <= node_min->area.min.Elements[kind]) { node->user_data = node_max->user_data; free_children= true; } else if (node_max->area.max.Elements[kind] <= node_max->area.min.Elements[kind]) { node->user_data = node_min->user_data; free_children= true; } if (free_children) { bsp_walk_postorder(tree, node->children[0], bsp_free_cb, 0); bsp_walk_postorder(tree, node->children[1], bsp_free_cb, 0); } } // NOTE(PS): no need to recurse, this function assumes its either being // called on a particular node or its the callback of one of the tree // walk functions } internal void bsp_node_area_update(BSP* tree, BSP_Node_Id node_id, BSP_Area area) { BSP_Node* node = bsp_get(tree, node_id); node->area = area; BSP_Split_Update_Flags flags = BSPSplitUpdate_FreeZeroAreaChildren; bsp_walk_preorder(tree, node_id, bsp_node_update_child_areas, (u8*)&flags); } internal void bsp_child_split_update(BSP* tree, BSP_Node_Id node_id, r32 new_split, BSP_Split_Update_Flags flags) { BSP_Node* node = bsp_get(tree, node_id); node->split.value = new_split; bsp_walk_preorder(tree, node_id, bsp_node_update_child_areas, (u8*)&flags); } #if defined(DEBUG) internal void bsp_tests() { scratch_get(scratch); BSP tree = bsp_create(scratch.a, 256); tree.root = bsp_push(&tree, (BSP_Node_Id){0}, (BSP_Area){ (v2){0,0},(v2){512,512}}, 0); BSP_Split_Result r0 = bsp_split(&tree, tree.root, 256, BSPSplit_YAxis, 0, 0); BSP_Node* root = bsp_get(&tree, tree.root); BSP_Node* n0 = bsp_get(&tree, r0.children[0]); BSP_Node* n1 = bsp_get(&tree, r0.children[1]); assert(root != 0 && n0 != 0 && n1 != 0); assert(HMM_EqualsVec2(n0->area.min, root->area.min)); assert(n0->area.max.x == 256 && n0->area.max.y == root->area.max.y); assert(HMM_EqualsVec2(n1->area.max, root->area.max)); assert(n1->area.min.x == 256 && n0->area.min.y == root->area.min.y); assert(n0->split.kind == BSPSplit_None); assert(n1->split.kind == BSPSplit_None); assert(root->split.kind == BSPSplit_YAxis); BSP_Split_Result r1 = bsp_split(&tree, root->children[0], 32, BSPSplit_YAxis, 0, 0); BSP_Split_Result r2 = bsp_split(&tree, r1.children[1], 64, BSPSplit_XAxis, 0, 0); bsp_walk_postorder(&tree, root->children[0], bsp_free_cb, 0); scratch_release(scratch); } #else #define bsp_tests() #endif #endif //LUMENARIUM_BSP_H