voxelman/meshers/voxel_mesher_transvoxel_terrarin.cpp

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#include "voxel_mesher_transvoxel_terrarin.h"
#include <core/os/os.h>
// This is a very partial implementation, it is barely equivalent to marching cubes.
// It doesn't include transition cells.
namespace {
inline float tof(int8_t v) {
return static_cast<float>(v) / 256.f;
}
inline int8_t tos(uint8_t v) {
return v - 128;
}
// Values considered negative have a sign bit of 1
inline uint8_t sign(int8_t v) {
return (v >> 7) & 1;
}
//
// 6-------7
// /| /|
// / | / | Corners
// 4-------5 |
// | 2----|--3
// | / | / z y
// |/ |/ |/
// 0-------1 o--x
//
const Vector3i g_corner_dirs[8] = {
Vector3i(0, 0, 0),
Vector3i(1, 0, 0),
Vector3i(0, 1, 0),
Vector3i(1, 1, 0),
Vector3i(0, 0, 1),
Vector3i(1, 0, 1),
Vector3i(0, 1, 1),
Vector3i(1, 1, 1)
};
inline Vector3i dir_to_prev_vec(uint8_t dir) {
//return g_corner_dirs[mask] - Vector3(1,1,1);
return Vector3i(
-(dir & 1),
-((dir >> 1) & 1),
-((dir >> 2) & 1));
}
template <typename T>
void copy_to(PoolVector<T> &to, Vector<T> &from) {
to.resize(from.size());
typename PoolVector<T>::Write w = to.write();
for (unsigned int i = 0; i < from.size(); ++i) {
w[i] = from[i];
}
}
} // namespace
VoxelMesherTransvoxelTerrarin::ReuseCell::ReuseCell() {
case_index = 0;
for (unsigned int i = 0; i < 4; ++i) {
vertices[i] = -1;
}
}
/*
int VoxelMesherTransvoxelTerrarin::get_minimum_padding() const {
return MINIMUM_PADDING;
}*/
void VoxelMesherTransvoxelTerrarin::_add_buffer(Ref<VoxelBuffer> buffer) {
ERR_FAIL_COND(padding < MINIMUM_PADDING);
int channel = VoxelBuffer::CHANNEL_ISOLEVEL;
build_internal(buffer, channel);
}
void VoxelMesherTransvoxelTerrarin::build_internal(Ref<VoxelBuffer> buffer, unsigned int channel) {
// Each 2x2 voxel group is a "cell"
const VoxelBuffer &voxels = *(buffer.ptr());
if (voxels.is_uniform(channel)) {
// Nothing to extract, because constant isolevels never cross the threshold and describe no surface
return;
}
const Vector3i block_size = voxels.get_size();
// TODO No lod yet, but it's planned
const int lod_index = 0;
const int lod_scale = 1 << lod_index;
// Prepare vertex reuse cache
m_block_size = block_size;
unsigned int deck_area = block_size.x * block_size.y;
for (int i = 0; i < 2; ++i) {
if (m_cache[i].size() != deck_area) {
m_cache[i].clear(); // Clear any previous data
m_cache[i].resize(deck_area);
}
}
// Iterate all cells with padding (expected to be neighbors)
Vector3i pos;
for (pos.z = PAD.z; pos.z < block_size.z - 2; ++pos.z) {
for (pos.y = PAD.y; pos.y < block_size.y - 2; ++pos.y) {
for (pos.x = PAD.x; pos.x < block_size.x - 2; ++pos.x) {
// Get the value of cells.
// Negative values are "solid" and positive are "air".
// Due to raw cells being unsigned 8-bit, they get converted to signed.
int8_t cell_samples[8] = {
tos(voxels.get_voxel(pos.x, pos.y, pos.z, channel)),
tos(voxels.get_voxel(pos.x + 1, pos.y, pos.z, channel)),
tos(voxels.get_voxel(pos.x, pos.y + 1, pos.z, channel)),
tos(voxels.get_voxel(pos.x + 1, pos.y + 1, pos.z, channel)),
tos(voxels.get_voxel(pos.x, pos.y, pos.z + 1, channel)),
tos(voxels.get_voxel(pos.x + 1, pos.y, pos.z + 1, channel)),
tos(voxels.get_voxel(pos.x, pos.y + 1, pos.z + 1, channel)),
tos(voxels.get_voxel(pos.x + 1, pos.y + 1, pos.z + 1, channel))
};
// Concatenate the sign of cell values to obtain the case code.
// Index 0 is the less significant bit, and index 7 is the most significant bit.
uint8_t case_code = sign(cell_samples[0]);
case_code |= (sign(cell_samples[1]) << 1);
case_code |= (sign(cell_samples[2]) << 2);
case_code |= (sign(cell_samples[3]) << 3);
case_code |= (sign(cell_samples[4]) << 4);
case_code |= (sign(cell_samples[5]) << 5);
case_code |= (sign(cell_samples[6]) << 6);
case_code |= (sign(cell_samples[7]) << 7);
{
ReuseCell &rc = get_reuse_cell(pos);
rc.case_index = case_code;
}
if (case_code == 0 || case_code == 255) {
// If the case_code is 0 or 255, there is no triangulation to do
continue;
}
// TODO We might not always need all of them
// Compute normals
Vector3 corner_normals[8];
for (unsigned int i = 0; i < 8; ++i) {
Vector3i p = pos + g_corner_dirs[i];
float nx = tof(tos(voxels.get_voxel(p - Vector3i(1, 0, 0), channel))) - tof(tos(voxels.get_voxel(p + Vector3i(1, 0, 0), channel)));
float ny = tof(tos(voxels.get_voxel(p - Vector3i(0, 1, 0), channel))) - tof(tos(voxels.get_voxel(p + Vector3i(0, 1, 0), channel)));
float nz = tof(tos(voxels.get_voxel(p - Vector3i(0, 0, 1), channel))) - tof(tos(voxels.get_voxel(p + Vector3i(0, 0, 1), channel)));
corner_normals[i] = Vector3(nx, ny, nz);
corner_normals[i].normalize();
}
// For cells occurring along the minimal boundaries of a block,
// the preceding cells needed for vertex reuse may not exist.
// In these cases, we allow new vertex creation on additional edges of a cell.
// While iterating through the cells in a block, a 3-bit mask is maintained whose bits indicate
// whether corresponding bits in a direction code are valid
uint8_t direction_validity_mask =
(pos.x > 1 ? 1 : 0) | ((pos.y > 1 ? 1 : 0) << 1) | ((pos.z > 1 ? 1 : 0) << 2);
uint8_t regular_cell_class_index = Transvoxel::regularCellClass[case_code];
Transvoxel::RegularCellData regular_cell_class = Transvoxel::regularCellData[regular_cell_class_index];
uint8_t triangle_count = regular_cell_class.geometryCounts & 0x0f;
uint8_t vertex_count = (regular_cell_class.geometryCounts & 0xf0) >> 4;
int cell_mesh_indices[12];
// For each vertex in the case
for (unsigned int i = 0; i < vertex_count; ++i) {
// The case index maps to a list of 16-bit codes providing information about the edges on which the vertices lie.
// The low byte of each 16-bit code contains the corner indexes of the edges endpoints in one nibble each,
// and the high byte contains the mapping code shown in Figure 3.8(b)
unsigned short rvd = Transvoxel::regularVertexData[case_code][i];
unsigned short edge_code_low = rvd & 0xff;
unsigned short edge_code_high = (rvd >> 8) & 0xff;
// Get corner indexes in the low nibble (always ordered so the higher comes last)
uint8_t v0 = (edge_code_low >> 4) & 0xf;
uint8_t v1 = edge_code_low & 0xf;
ERR_FAIL_COND(v1 <= v0);
// Get voxel values at the corners
int sample0 = cell_samples[v0]; // called d0 in the paper
int sample1 = cell_samples[v1]; // called d1 in the paper
// TODO Zero-division is not mentionned in the paper??
ERR_FAIL_COND(sample1 == sample0);
ERR_FAIL_COND(sample1 == 0 && sample0 == 0);
// Get interpolation position
// We use an 8-bit fraction, allowing the new vertex to be located at one of 257 possible
// positions along the edge when both endpoints are included.
int t = (sample1 << 8) / (sample1 - sample0);
float t0 = static_cast<float>(t) / 256.f;
float t1 = static_cast<float>(0x0100 - t) / 256.f;
Vector3i p0 = pos + g_corner_dirs[v0];
Vector3i p1 = pos + g_corner_dirs[v1];
if (t & 0xff) {
//OS::get_singleton()->print("A");
// Vertex lies in the interior of the edge.
// Each edge of a cell is assigned an 8-bit code, as shown in Figure 3.8(b),
// that provides a mapping to a preceding cell and the coincident edge on that preceding cell
// for which new vertex creation was allowed.
// The high nibble of this code indicates which direction to go in order to reach the correct preceding cell.
// The bit values 1, 2, and 4 in this nibble indicate that we must subtract one
// from the x, y, and/or z coordinate, respectively.
uint8_t reuse_dir = (edge_code_high >> 4) & 0xf;
uint8_t reuse_vertex_index = edge_code_high & 0xf;
bool can_reuse = (reuse_dir & direction_validity_mask) == reuse_dir;
if (can_reuse) {
Vector3i cache_pos = pos + dir_to_prev_vec(reuse_dir);
ReuseCell &prev_cell = get_reuse_cell(cache_pos);
if (prev_cell.case_index == 0 || prev_cell.case_index == 255) {
// TODO I don't think this can happen for non-corner vertices.
cell_mesh_indices[i] = -1;
} else {
// Will reuse a previous vertice
cell_mesh_indices[i] = prev_cell.vertices[reuse_vertex_index];
}
}
if (!can_reuse || cell_mesh_indices[i] == -1) {
// Going to create a new vertice
cell_mesh_indices[i] = _vertices.size();
Vector3 pi = p0.to_vec3() * t0 + p1.to_vec3() * t1;
Vector3 primary = pi; //pos.to_vec3() + pi;
Vector3 normal = corner_normals[v0] * t0 + corner_normals[v1] * t1;
emit_vertex(primary, normal);
if (reuse_dir & 8) {
// Store the generated vertex so that other cells can reuse it.
ReuseCell &rc = get_reuse_cell(pos);
rc.vertices[reuse_vertex_index] = cell_mesh_indices[i];
}
}
} else if (t == 0 && v1 == 7) {
//OS::get_singleton()->print("B");
// This cell owns the vertex, so it should be created.
cell_mesh_indices[i] = _vertices.size();
Vector3 pi = p0.to_vec3() * t0 + p1.to_vec3() * t1;
Vector3 primary = pi; //pos.to_vec3() + pi;
Vector3 normal = corner_normals[v0] * t0 + corner_normals[v1] * t1;
emit_vertex(primary, normal);
ReuseCell &rc = get_reuse_cell(pos);
rc.vertices[0] = cell_mesh_indices[i];
} else {
// Always try to reuse previous vertices in these cases
//OS::get_singleton()->print("C");
// A 3-bit direction code leading to the proper cell can easily be obtained by
// inverting the 3-bit corner index (bitwise, by exclusive ORing with the number 7).
// The corner index depends on the value of t, t = 0 means that we're at the higher
// numbered endpoint.
uint8_t reuse_dir = (t == 0 ? v1 ^ 7 : v0 ^ 7);
bool can_reuse = (reuse_dir & direction_validity_mask) == reuse_dir;
// Note: the only difference with similar code above is that we take vertice 0 in the `else`
if (can_reuse) {
Vector3i cache_pos = pos + dir_to_prev_vec(reuse_dir);
ReuseCell prev_cell = get_reuse_cell(cache_pos);
// The previous cell might not have any geometry, and we
// might therefore have to create a new vertex anyway.
if (prev_cell.case_index == 0 || prev_cell.case_index == 255) {
cell_mesh_indices[i] = -1;
} else {
cell_mesh_indices[i] = prev_cell.vertices[0];
}
}
if (!can_reuse || cell_mesh_indices[i] < 0) {
cell_mesh_indices[i] = _vertices.size();
Vector3 pi = p0.to_vec3() * t0 + p1.to_vec3() * t1;
Vector3 primary = pi; //pos.to_vec3() + pi;
Vector3 normal = corner_normals[v0] * t0 + corner_normals[v1] * t1;
emit_vertex(primary, normal);
}
}
} // for each cell vertice
//OS::get_singleton()->print("_");
for (int t = 0; t < triangle_count; ++t) {
for (int i = 0; i < 3; ++i) {
int index = cell_mesh_indices[regular_cell_class.vertexIndex[t * 3 + i]];
_indices.push_back(index);
}
}
} // x
} // y
} // z
//OS::get_singleton()->print("\n");
}
VoxelMesherTransvoxelTerrarin::ReuseCell &VoxelMesherTransvoxelTerrarin::get_reuse_cell(Vector3i pos) {
int j = pos.z & 1;
int i = pos.y * m_block_size.y + pos.x;
return m_cache[j].write[i];
}
void VoxelMesherTransvoxelTerrarin::emit_vertex(Vector3 primary, Vector3 normal) {
_vertices.push_back(primary - PAD.to_vec3());
_normals.push_back(normal);
}
VoxelMesherTransvoxelTerrarin::VoxelMesherTransvoxelTerrarin() {
padding = MINIMUM_PADDING;
}
void VoxelMesherTransvoxelTerrarin::_bind_methods() {
ClassDB::bind_method(D_METHOD("_add_buffer", "buffer"), &VoxelMesherTransvoxelTerrarin::_add_buffer);
}