1076 lines
29 KiB
C++
1076 lines
29 KiB
C++
/* Apache License, Version 2.0 */
|
|
|
|
#include "testing/testing.h"
|
|
|
|
extern "C" {
|
|
#include "MEM_guardedalloc.h"
|
|
#include "BLI_math.h"
|
|
#include "BLI_rand.h"
|
|
#include "PIL_time.h"
|
|
|
|
#include "BLI_delaunay_2d.h"
|
|
}
|
|
|
|
#include <iostream>
|
|
#include <fstream>
|
|
#include <sstream>
|
|
|
|
#define DO_REGULAR_TESTS 1
|
|
#define DO_RANDOM_TESTS 0
|
|
#define DO_FILE_TESTS 0
|
|
|
|
static void fill_input_verts(CDT_input *r_input, float (*vcos)[2], int nverts)
|
|
{
|
|
r_input->verts_len = nverts;
|
|
r_input->edges_len = 0;
|
|
r_input->faces_len = 0;
|
|
r_input->vert_coords = vcos;
|
|
r_input->edges = NULL;
|
|
r_input->faces = NULL;
|
|
r_input->faces_start_table = NULL;
|
|
r_input->faces_len_table = NULL;
|
|
r_input->epsilon = 1e-5f;
|
|
}
|
|
|
|
static void add_input_edges(CDT_input *r_input, int (*edges)[2], int nedges)
|
|
{
|
|
r_input->edges_len = nedges;
|
|
r_input->edges = edges;
|
|
}
|
|
|
|
static void add_input_faces(
|
|
CDT_input *r_input, int *faces, int *faces_start_table, int *faces_len_table, int nfaces)
|
|
{
|
|
r_input->faces_len = nfaces;
|
|
r_input->faces = faces;
|
|
r_input->faces_start_table = faces_start_table;
|
|
r_input->faces_len_table = faces_len_table;
|
|
}
|
|
|
|
/* The spec should have the form:
|
|
* #verts #edges #faces
|
|
* <float> <float> [#verts lines)
|
|
* <int> <int> [#edges lines]
|
|
* <int> <int> ... <int> [#faces lines]
|
|
*/
|
|
static void fill_input_from_string(CDT_input *r_input, const char *spec)
|
|
{
|
|
std::string line;
|
|
std::vector<std::vector<int>> faces;
|
|
int i, j;
|
|
int nverts, nedges, nfaces;
|
|
float(*p)[2];
|
|
int(*e)[2];
|
|
int *farr;
|
|
int *flen;
|
|
int *fstart;
|
|
|
|
std::istringstream ss(spec);
|
|
getline(ss, line);
|
|
std::istringstream hdrss(line);
|
|
hdrss >> nverts >> nedges >> nfaces;
|
|
if (nverts == 0) {
|
|
return;
|
|
}
|
|
p = (float(*)[2])MEM_malloc_arrayN(nverts, 2 * sizeof(float), __func__);
|
|
if (nedges > 0) {
|
|
e = (int(*)[2])MEM_malloc_arrayN(nedges, 2 * sizeof(int), __func__);
|
|
}
|
|
if (nfaces > 0) {
|
|
flen = (int *)MEM_malloc_arrayN(nfaces, sizeof(int), __func__);
|
|
fstart = (int *)MEM_malloc_arrayN(nfaces, sizeof(int), __func__);
|
|
}
|
|
i = 0;
|
|
while (i < nverts && getline(ss, line)) {
|
|
std::istringstream iss(line);
|
|
iss >> p[i][0] >> p[i][1];
|
|
i++;
|
|
}
|
|
i = 0;
|
|
while (i < nedges && getline(ss, line)) {
|
|
std::istringstream ess(line);
|
|
ess >> e[i][0] >> e[i][1];
|
|
i++;
|
|
}
|
|
i = 0;
|
|
while (i < nfaces && getline(ss, line)) {
|
|
std::istringstream fss(line);
|
|
int v;
|
|
faces.push_back(std::vector<int>());
|
|
while (fss >> v) {
|
|
faces[i].push_back(v);
|
|
}
|
|
i++;
|
|
}
|
|
fill_input_verts(r_input, p, nverts);
|
|
if (nedges > 0) {
|
|
add_input_edges(r_input, e, nedges);
|
|
}
|
|
if (nfaces > 0) {
|
|
for (i = 0; i < nfaces; i++) {
|
|
flen[i] = (int)faces[i].size();
|
|
if (i == 0) {
|
|
fstart[i] = 0;
|
|
}
|
|
else {
|
|
fstart[i] = fstart[i - 1] + flen[i - 1];
|
|
}
|
|
}
|
|
farr = (int *)MEM_malloc_arrayN(fstart[nfaces - 1] + flen[nfaces - 1], sizeof(int), __func__);
|
|
for (i = 0; i < nfaces; i++) {
|
|
for (j = 0; j < (int)faces[i].size(); j++) {
|
|
farr[fstart[i] + j] = faces[i][j];
|
|
}
|
|
}
|
|
add_input_faces(r_input, farr, fstart, flen, nfaces);
|
|
}
|
|
}
|
|
|
|
static void fill_input_from_file(CDT_input *in, const char *filename)
|
|
{
|
|
std::FILE *fp = std::fopen(filename, "rb");
|
|
if (fp) {
|
|
std::string contents;
|
|
std::fseek(fp, 0, SEEK_END);
|
|
contents.resize(std::ftell(fp));
|
|
std::rewind(fp);
|
|
std::fread(&contents[0], 1, contents.size(), fp);
|
|
std::fclose(fp);
|
|
fill_input_from_string(in, contents.c_str());
|
|
}
|
|
else {
|
|
printf("couldn't open file %s\n", filename);
|
|
}
|
|
}
|
|
|
|
static void free_spec_arrays(CDT_input *in)
|
|
{
|
|
if (in->vert_coords) {
|
|
MEM_freeN(in->vert_coords);
|
|
}
|
|
if (in->edges) {
|
|
MEM_freeN(in->edges);
|
|
}
|
|
if (in->faces_len_table) {
|
|
MEM_freeN(in->faces_len_table);
|
|
MEM_freeN(in->faces_start_table);
|
|
MEM_freeN(in->faces);
|
|
}
|
|
}
|
|
|
|
/* which output vert index goes with given input vertex? -1 if not found */
|
|
static int get_output_vert_index(const CDT_result *r, int in_index)
|
|
{
|
|
int i, j;
|
|
|
|
for (i = 0; i < r->verts_len; i++) {
|
|
for (j = 0; j < r->verts_orig_len_table[i]; j++) {
|
|
if (r->verts_orig[r->verts_orig_start_table[i] + j] == in_index) {
|
|
return i;
|
|
}
|
|
}
|
|
}
|
|
return -1;
|
|
}
|
|
|
|
/* which output edge index is for given output vert indices? */
|
|
static int get_edge(const CDT_result *r, int out_index_1, int out_index_2)
|
|
{
|
|
int i;
|
|
|
|
for (i = 0; i < r->edges_len; i++) {
|
|
if ((r->edges[i][0] == out_index_1 && r->edges[i][1] == out_index_2) ||
|
|
(r->edges[i][0] == out_index_2 && r->edges[i][1] == out_index_1))
|
|
return i;
|
|
}
|
|
return -1;
|
|
}
|
|
|
|
/* return true if given output edge has given input edge id in its originals list */
|
|
static bool out_edge_has_input_id(const CDT_result *r, int out_edge_index, int in_edge_index)
|
|
{
|
|
if (r->edges_orig == NULL)
|
|
return false;
|
|
if (out_edge_index < 0 || out_edge_index >= r->edges_len)
|
|
return false;
|
|
for (int i = 0; i < r->edges_orig_len_table[out_edge_index]; i++) {
|
|
if (r->edges_orig[r->edges_orig_start_table[out_edge_index] + i] == in_edge_index)
|
|
return true;
|
|
}
|
|
return false;
|
|
}
|
|
|
|
/* which face is for given output vertex ngon? */
|
|
static int get_face(const CDT_result *r, int *out_indices, int nverts)
|
|
{
|
|
int f, cycle_start, k, fstart;
|
|
bool ok;
|
|
|
|
if (r->faces_len == 0)
|
|
return -1;
|
|
for (f = 0; f < r->faces_len; f++) {
|
|
if (r->faces_len_table[f] != nverts)
|
|
continue;
|
|
fstart = r->faces_start_table[f];
|
|
for (cycle_start = 0; cycle_start < nverts; cycle_start++) {
|
|
ok = true;
|
|
for (k = 0; ok && k < nverts; k++) {
|
|
if (r->faces[fstart + ((cycle_start + k) % nverts)] != out_indices[k]) {
|
|
ok = false;
|
|
}
|
|
}
|
|
if (ok) {
|
|
return f;
|
|
}
|
|
}
|
|
}
|
|
return -1;
|
|
}
|
|
|
|
static int get_face_tri(const CDT_result *r, int out_index_1, int out_index_2, int out_index_3)
|
|
{
|
|
int tri[3];
|
|
|
|
tri[0] = out_index_1;
|
|
tri[1] = out_index_2;
|
|
tri[2] = out_index_3;
|
|
return get_face(r, tri, 3);
|
|
}
|
|
|
|
/* return true if given otuput face has given input face id in its originals list */
|
|
static bool out_face_has_input_id(const CDT_result *r, int out_face_index, int in_face_index)
|
|
{
|
|
if (r->faces_orig == NULL)
|
|
return false;
|
|
if (out_face_index < 0 || out_face_index >= r->faces_len)
|
|
return false;
|
|
for (int i = 0; i < r->faces_orig_len_table[out_face_index]; i++) {
|
|
if (r->faces_orig[r->faces_orig_start_table[out_face_index] + i] == in_face_index)
|
|
return true;
|
|
}
|
|
return false;
|
|
}
|
|
|
|
/* for debugging */
|
|
static void dump_result(CDT_result *r)
|
|
{
|
|
int i, j;
|
|
|
|
fprintf(stderr, "\nRESULT\n");
|
|
fprintf(stderr,
|
|
"verts_len=%d edges_len=%d faces_len=%d\n",
|
|
r->verts_len,
|
|
r->edges_len,
|
|
r->faces_len);
|
|
fprintf(stderr, "\nvert coords:\n");
|
|
for (i = 0; i < r->verts_len; i++)
|
|
fprintf(stderr, "%d: (%f,%f)\n", i, r->vert_coords[i][0], r->vert_coords[i][1]);
|
|
fprintf(stderr, "vert orig:\n");
|
|
for (i = 0; i < r->verts_len; i++) {
|
|
fprintf(stderr, "%d:", i);
|
|
for (j = 0; j < r->verts_orig_len_table[i]; j++)
|
|
fprintf(stderr, " %d", r->verts_orig[r->verts_orig_start_table[i] + j]);
|
|
fprintf(stderr, "\n");
|
|
}
|
|
fprintf(stderr, "\nedges:\n");
|
|
for (i = 0; i < r->edges_len; i++)
|
|
fprintf(stderr, "%d: (%d,%d)\n", i, r->edges[i][0], r->edges[i][1]);
|
|
if (r->edges_orig) {
|
|
fprintf(stderr, "edge orig:\n");
|
|
for (i = 0; i < r->edges_len; i++) {
|
|
fprintf(stderr, "%d:", i);
|
|
for (j = 0; j < r->edges_orig_len_table[i]; j++)
|
|
fprintf(stderr, " %d", r->edges_orig[r->edges_orig_start_table[i] + j]);
|
|
fprintf(stderr, "\n");
|
|
}
|
|
}
|
|
fprintf(stderr, "\nfaces:\n");
|
|
for (i = 0; i < r->faces_len; i++) {
|
|
fprintf(stderr, "%d: ", i);
|
|
for (j = 0; j < r->faces_len_table[i]; j++)
|
|
fprintf(stderr, " %d", r->faces[r->faces_start_table[i] + j]);
|
|
fprintf(stderr, "\n");
|
|
}
|
|
if (r->faces_orig) {
|
|
fprintf(stderr, "face orig:\n");
|
|
for (i = 0; i < r->faces_len; i++) {
|
|
fprintf(stderr, "%d:", i);
|
|
for (j = 0; j < r->faces_orig_len_table[i]; j++)
|
|
fprintf(stderr, " %d", r->faces_orig[r->faces_orig_start_table[i] + j]);
|
|
fprintf(stderr, "\n");
|
|
}
|
|
}
|
|
}
|
|
|
|
#if DO_REGULAR_TESTS
|
|
TEST(delaunay, Empty)
|
|
{
|
|
CDT_input in;
|
|
CDT_result *out;
|
|
|
|
fill_input_verts(&in, NULL, 0);
|
|
out = BLI_delaunay_2d_cdt_calc(&in, CDT_FULL);
|
|
EXPECT_NE((CDT_result *)NULL, out);
|
|
EXPECT_EQ(out->verts_len, 0);
|
|
EXPECT_EQ(out->edges_len, 0);
|
|
EXPECT_EQ(out->faces_len, 0);
|
|
BLI_delaunay_2d_cdt_free(out);
|
|
}
|
|
|
|
TEST(delaunay, OnePt)
|
|
{
|
|
CDT_input in;
|
|
CDT_result *out;
|
|
float p[][2] = {{0.0f, 0.0f}};
|
|
|
|
fill_input_verts(&in, p, 1);
|
|
out = BLI_delaunay_2d_cdt_calc(&in, CDT_FULL);
|
|
EXPECT_EQ(out->verts_len, 1);
|
|
EXPECT_EQ(out->edges_len, 0);
|
|
EXPECT_EQ(out->faces_len, 0);
|
|
EXPECT_EQ(out->vert_coords[0][0], 0.0f);
|
|
EXPECT_EQ(out->vert_coords[0][1], 0.0f);
|
|
BLI_delaunay_2d_cdt_free(out);
|
|
}
|
|
|
|
TEST(delaunay, TwoPt)
|
|
{
|
|
CDT_input in;
|
|
CDT_result *out;
|
|
int v0_out, v1_out, e0_out;
|
|
float p[][2] = {{0.0f, -0.75f}, {0.0f, 0.75f}};
|
|
|
|
fill_input_verts(&in, p, 2);
|
|
out = BLI_delaunay_2d_cdt_calc(&in, CDT_FULL);
|
|
EXPECT_EQ(out->verts_len, 2);
|
|
EXPECT_EQ(out->edges_len, 1);
|
|
EXPECT_EQ(out->faces_len, 0);
|
|
v0_out = get_output_vert_index(out, 0);
|
|
v1_out = get_output_vert_index(out, 1);
|
|
EXPECT_NE(v0_out, -1);
|
|
EXPECT_NE(v1_out, -1);
|
|
EXPECT_NE(v0_out, v1_out);
|
|
EXPECT_NEAR(out->vert_coords[v0_out][0], p[0][0], in.epsilon);
|
|
EXPECT_NEAR(out->vert_coords[v0_out][1], p[0][1], in.epsilon);
|
|
EXPECT_NEAR(out->vert_coords[v1_out][0], p[1][0], in.epsilon);
|
|
EXPECT_NEAR(out->vert_coords[v1_out][1], p[1][1], in.epsilon);
|
|
e0_out = get_edge(out, v0_out, v1_out);
|
|
EXPECT_EQ(e0_out, 0);
|
|
BLI_delaunay_2d_cdt_free(out);
|
|
}
|
|
|
|
TEST(delaunay, ThreePt)
|
|
{
|
|
CDT_input in;
|
|
CDT_result *out;
|
|
int v0_out, v1_out, v2_out;
|
|
int e0_out, e1_out, e2_out;
|
|
int f0_out;
|
|
float p[][2] = {{-0.1f, -0.75f}, {0.1f, 0.75f}, {0.5f, 0.5f}};
|
|
|
|
fill_input_verts(&in, p, 3);
|
|
out = BLI_delaunay_2d_cdt_calc(&in, CDT_FULL);
|
|
EXPECT_EQ(out->verts_len, 3);
|
|
EXPECT_EQ(out->edges_len, 3);
|
|
EXPECT_EQ(out->faces_len, 1);
|
|
v0_out = get_output_vert_index(out, 0);
|
|
v1_out = get_output_vert_index(out, 1);
|
|
v2_out = get_output_vert_index(out, 2);
|
|
EXPECT_TRUE(v0_out != -1 && v1_out != -1 && v2_out != -1);
|
|
EXPECT_TRUE(v0_out != v1_out && v0_out != v2_out && v1_out != v2_out);
|
|
e0_out = get_edge(out, v0_out, v1_out);
|
|
e1_out = get_edge(out, v1_out, v2_out);
|
|
e2_out = get_edge(out, v2_out, v0_out);
|
|
EXPECT_TRUE(e0_out != -1 && e1_out != -1 && e2_out != -1);
|
|
EXPECT_TRUE(e0_out != e1_out && e0_out != e2_out && e1_out != e2_out);
|
|
f0_out = get_face_tri(out, v0_out, v2_out, v1_out);
|
|
EXPECT_EQ(f0_out, 0);
|
|
BLI_delaunay_2d_cdt_free(out);
|
|
}
|
|
|
|
TEST(delaunay, ThreePtsMerge)
|
|
{
|
|
CDT_input in;
|
|
CDT_result *out;
|
|
int v0_out, v1_out, v2_out;
|
|
/* equilateral triangle with side 0.1 */
|
|
float p[][2] = {{-0.05f, -0.05f}, {0.05f, -0.05f}, {0.0f, 0.03660254f}};
|
|
|
|
/* First with epsilon such that points are within that distance of each other */
|
|
fill_input_verts(&in, p, 3);
|
|
in.epsilon = 0.21f;
|
|
out = BLI_delaunay_2d_cdt_calc(&in, CDT_FULL);
|
|
EXPECT_EQ(out->verts_len, 1);
|
|
EXPECT_EQ(out->edges_len, 0);
|
|
EXPECT_EQ(out->faces_len, 0);
|
|
v0_out = get_output_vert_index(out, 0);
|
|
v1_out = get_output_vert_index(out, 1);
|
|
v2_out = get_output_vert_index(out, 2);
|
|
EXPECT_EQ(v0_out, 0);
|
|
EXPECT_EQ(v1_out, 0);
|
|
EXPECT_EQ(v2_out, 0);
|
|
BLI_delaunay_2d_cdt_free(out);
|
|
/* Now with epsilon such that points are farther away than that.
|
|
* Note that the points won't merge with each other if distance is
|
|
* less than .01, but that they may merge with points on the Delaunay
|
|
* triangulation lines, so make epsilon even smaller to avoid that for
|
|
* this test.
|
|
*/
|
|
in.epsilon = 0.05f;
|
|
out = BLI_delaunay_2d_cdt_calc(&in, CDT_FULL);
|
|
EXPECT_EQ(out->verts_len, 3);
|
|
EXPECT_EQ(out->edges_len, 3);
|
|
EXPECT_EQ(out->faces_len, 1);
|
|
BLI_delaunay_2d_cdt_free(out);
|
|
}
|
|
|
|
TEST(delaunay, MixedPts)
|
|
{
|
|
CDT_input in;
|
|
CDT_result *out;
|
|
float p[][2] = {{0.0f, 0.0f}, {-0.5f, -0.5f}, {-0.4f, -0.25f}, {-0.3f, 0.8}};
|
|
int e[][2] = {{0, 1}, {1, 2}, {2, 3}};
|
|
int v0_out, v1_out, v2_out, v3_out;
|
|
int e0_out, e1_out, e2_out;
|
|
|
|
fill_input_verts(&in, p, 4);
|
|
add_input_edges(&in, e, 3);
|
|
out = BLI_delaunay_2d_cdt_calc(&in, CDT_FULL);
|
|
EXPECT_EQ(out->verts_len, 4);
|
|
EXPECT_EQ(out->edges_len, 6);
|
|
v0_out = get_output_vert_index(out, 0);
|
|
v1_out = get_output_vert_index(out, 1);
|
|
v2_out = get_output_vert_index(out, 2);
|
|
v3_out = get_output_vert_index(out, 3);
|
|
EXPECT_TRUE(v0_out != -1 && v1_out != -1 && v2_out != -1 && v3_out != -1);
|
|
e0_out = get_edge(out, v0_out, v1_out);
|
|
e1_out = get_edge(out, v1_out, v2_out);
|
|
e2_out = get_edge(out, v2_out, v3_out);
|
|
EXPECT_TRUE(e0_out != -1 && e1_out != -1 && e2_out != -1);
|
|
EXPECT_TRUE(out_edge_has_input_id(out, e0_out, 0));
|
|
EXPECT_TRUE(out_edge_has_input_id(out, e1_out, 1));
|
|
EXPECT_TRUE(out_edge_has_input_id(out, e2_out, 2));
|
|
BLI_delaunay_2d_cdt_free(out);
|
|
}
|
|
|
|
TEST(delaunay, CrossSegs)
|
|
{
|
|
CDT_input in;
|
|
CDT_result *out;
|
|
float p[][2] = {{-0.5f, 0.0f}, {0.5f, 0.0f}, {-0.4f, -0.5f}, {0.4f, 0.5f}};
|
|
int e[][2] = {{0, 1}, {2, 3}};
|
|
int v0_out, v1_out, v2_out, v3_out, v_intersect;
|
|
int i;
|
|
|
|
fill_input_verts(&in, p, 4);
|
|
add_input_edges(&in, e, 2);
|
|
out = BLI_delaunay_2d_cdt_calc(&in, CDT_FULL);
|
|
EXPECT_EQ(out->verts_len, 5);
|
|
EXPECT_EQ(out->edges_len, 8);
|
|
EXPECT_EQ(out->faces_len, 4);
|
|
v0_out = get_output_vert_index(out, 0);
|
|
v1_out = get_output_vert_index(out, 1);
|
|
v2_out = get_output_vert_index(out, 2);
|
|
v3_out = get_output_vert_index(out, 3);
|
|
EXPECT_TRUE(v0_out != -1 && v1_out != -1 && v2_out != -1 && v3_out != -1);
|
|
v_intersect = -1;
|
|
for (i = 0; i < out->verts_len; i++) {
|
|
if (i != v0_out && i != v1_out && i != v2_out && i != v3_out) {
|
|
EXPECT_EQ(v_intersect, -1);
|
|
v_intersect = i;
|
|
}
|
|
}
|
|
EXPECT_NE(v_intersect, -1);
|
|
EXPECT_NEAR(out->vert_coords[v_intersect][0], 0.0f, in.epsilon);
|
|
EXPECT_NEAR(out->vert_coords[v_intersect][1], 0.0f, in.epsilon);
|
|
BLI_delaunay_2d_cdt_free(out);
|
|
}
|
|
|
|
TEST(delaunay, DiamondCross)
|
|
{
|
|
CDT_input in;
|
|
CDT_result *out;
|
|
float p[][2] = {
|
|
{0.0f, 0.0f},
|
|
{1.0f, 3.0f},
|
|
{2.0f, 0.0f},
|
|
{1.0f, -3.0f},
|
|
{0.0f, 0.0f},
|
|
{1.0f, -3.0f},
|
|
{1.0f, 3.0f},
|
|
};
|
|
int e[][2] = {{0, 1}, {1, 2}, {2, 3}, {3, 4}, {5, 6}};
|
|
|
|
fill_input_verts(&in, p, 7);
|
|
add_input_edges(&in, e, 5);
|
|
out = BLI_delaunay_2d_cdt_calc(&in, CDT_FULL);
|
|
EXPECT_EQ(out->verts_len, 4);
|
|
EXPECT_EQ(out->edges_len, 5);
|
|
EXPECT_EQ(out->faces_len, 2);
|
|
BLI_delaunay_2d_cdt_free(out);
|
|
}
|
|
|
|
TEST(delaunay, TwoDiamondsCrossed)
|
|
{
|
|
CDT_input in;
|
|
CDT_result *out;
|
|
/* Input has some repetition of vertices, on purpose */
|
|
float p[][2] = {
|
|
{0.0f, 0.0f},
|
|
{1.0f, 2.0f},
|
|
{2.0f, 0.0f},
|
|
{1.0f, -2.0f},
|
|
{0.0f, 0.0f},
|
|
{3.0f, 0.0f},
|
|
{4.0f, 2.0f},
|
|
{5.0f, 0.0f},
|
|
{4.0f, -2.0f},
|
|
{3.0f, 0.0f},
|
|
{0.0f, 0.0f},
|
|
{5.0f, 0.0f},
|
|
};
|
|
int e[][2] = {{0, 1}, {1, 2}, {2, 3}, {3, 4}, {5, 6}, {6, 7}, {7, 8}, {8, 9}, {10, 11}};
|
|
int v_out[12];
|
|
int e_out[9], e_cross_1, e_cross_2, e_cross_3;
|
|
int i;
|
|
|
|
fill_input_verts(&in, p, 12);
|
|
add_input_edges(&in, e, 9);
|
|
out = BLI_delaunay_2d_cdt_calc(&in, CDT_FULL);
|
|
EXPECT_EQ(out->verts_len, 8);
|
|
EXPECT_EQ(out->edges_len, 15);
|
|
EXPECT_EQ(out->faces_len, 8);
|
|
for (i = 0; i < 12; i++) {
|
|
v_out[i] = get_output_vert_index(out, i);
|
|
EXPECT_NE(v_out[i], -1);
|
|
}
|
|
EXPECT_EQ(v_out[0], v_out[4]);
|
|
EXPECT_EQ(v_out[0], v_out[10]);
|
|
EXPECT_EQ(v_out[5], v_out[9]);
|
|
EXPECT_EQ(v_out[7], v_out[11]);
|
|
for (i = 0; i < 8; i++) {
|
|
e_out[i] = get_edge(out, v_out[e[i][0]], v_out[e[i][1]]);
|
|
EXPECT_NE(e_out[i], -1);
|
|
}
|
|
/* there won't be a single edge for the input cross edge, but rather 3 */
|
|
EXPECT_EQ(get_edge(out, v_out[10], v_out[11]), -1);
|
|
e_cross_1 = get_edge(out, v_out[0], v_out[2]);
|
|
e_cross_2 = get_edge(out, v_out[2], v_out[5]);
|
|
e_cross_3 = get_edge(out, v_out[5], v_out[7]);
|
|
EXPECT_TRUE(e_cross_1 != -1 && e_cross_2 != -1 && e_cross_3 != -1);
|
|
EXPECT_TRUE(out_edge_has_input_id(out, e_cross_1, 8));
|
|
EXPECT_TRUE(out_edge_has_input_id(out, e_cross_2, 8));
|
|
EXPECT_TRUE(out_edge_has_input_id(out, e_cross_3, 8));
|
|
BLI_delaunay_2d_cdt_free(out);
|
|
}
|
|
|
|
TEST(delaunay, ManyCross)
|
|
{
|
|
CDT_input in;
|
|
CDT_result *out;
|
|
/* Input has some repetition of vertices, on purpose */
|
|
float p[][2] = {
|
|
/* upper: verts 0 to 10 */
|
|
{0.0f, 0.0f},
|
|
{6.0f, 9.0f},
|
|
{15.0f, 18.0f},
|
|
{35.0f, 13.0f},
|
|
{43.0f, 18.0f},
|
|
{57.0f, 12.0f},
|
|
{69.0f, 10.0f},
|
|
{78.0f, 0.0f},
|
|
{91.0f, 0.0f},
|
|
{107.0f, 22.0f},
|
|
{123.0f, 0.0f},
|
|
/* lower part 1: verts 11 to 16 */
|
|
{0.0f, 0.0f},
|
|
{10.0f, -14.0f},
|
|
{35.0f, -8.0f},
|
|
{43.0f, -12.0f},
|
|
{64.0f, -13.0f},
|
|
{78.0f, 0.0f},
|
|
/* lower part 2: verts 17 to 20 */
|
|
{91.0f, 0.0f},
|
|
{102.0f, -9.0f},
|
|
{116.0f, -9.0f},
|
|
{123.0f, 0.0f},
|
|
/* cross 1: verts 21, 22 */
|
|
{43.0f, 18.0f},
|
|
{43.0f, -12.0f},
|
|
/* cross 2: verts 23, 24 */
|
|
{107.0f, 22.0f},
|
|
{102.0f, -9.0f},
|
|
/* cross all: verts 25, 26 */
|
|
{0.0f, 0.0f},
|
|
{123.0f, 0.0f},
|
|
};
|
|
int e[][2] = {
|
|
{0, 1}, {1, 2}, {2, 3}, {3, 4}, {4, 5}, {5, 6}, {6, 7},
|
|
{7, 8}, {8, 9}, {9, 10}, {11, 12}, {12, 13}, {13, 14}, {14, 15},
|
|
{15, 16}, {17, 18}, {18, 19}, {19, 20}, {21, 22}, {23, 24}, {25, 26},
|
|
};
|
|
|
|
fill_input_verts(&in, p, 27);
|
|
add_input_edges(&in, e, 21);
|
|
out = BLI_delaunay_2d_cdt_calc(&in, CDT_FULL);
|
|
EXPECT_EQ(out->verts_len, 19);
|
|
EXPECT_EQ(out->edges_len, 46);
|
|
EXPECT_EQ(out->faces_len, 28);
|
|
BLI_delaunay_2d_cdt_free(out);
|
|
}
|
|
|
|
TEST(delaunay, TwoFace)
|
|
{
|
|
CDT_input in;
|
|
CDT_result *out;
|
|
float p[][2] = {
|
|
{0.0f, 0.0f}, {1.0f, 0.0f}, {0.5f, 1.0f}, {1.1f, 1.0f}, {1.1f, 0.0f}, {1.6f, 1.0f}};
|
|
int f[] = {/* 0 */ 0, 1, 2, /* 1 */ 3, 4, 5};
|
|
int fstart[] = {0, 3};
|
|
int flen[] = {3, 3};
|
|
int v_out[6], f0_out, f1_out, e0_out, e1_out, e2_out;
|
|
int i;
|
|
|
|
fill_input_verts(&in, p, 6);
|
|
add_input_faces(&in, f, fstart, flen, 2);
|
|
out = BLI_delaunay_2d_cdt_calc(&in, CDT_FULL);
|
|
EXPECT_EQ(out->verts_len, 6);
|
|
EXPECT_EQ(out->edges_len, 9);
|
|
EXPECT_EQ(out->faces_len, 4);
|
|
for (i = 0; i < 6; i++) {
|
|
v_out[i] = get_output_vert_index(out, i);
|
|
EXPECT_NE(v_out[i], -1);
|
|
}
|
|
f0_out = get_face(out, &v_out[0], 3);
|
|
f1_out = get_face(out, &v_out[3], 3);
|
|
EXPECT_NE(f0_out, -1);
|
|
EXPECT_NE(f1_out, -1);
|
|
e0_out = get_edge(out, v_out[0], v_out[1]);
|
|
e1_out = get_edge(out, v_out[1], v_out[2]);
|
|
e2_out = get_edge(out, v_out[2], v_out[0]);
|
|
EXPECT_NE(e0_out, -1);
|
|
EXPECT_NE(e1_out, -1);
|
|
EXPECT_NE(e2_out, -1);
|
|
EXPECT_TRUE(out_edge_has_input_id(out, e0_out, out->face_edge_offset + 0));
|
|
EXPECT_TRUE(out_edge_has_input_id(out, e1_out, out->face_edge_offset + 1));
|
|
EXPECT_TRUE(out_edge_has_input_id(out, e2_out, out->face_edge_offset + 2));
|
|
EXPECT_TRUE(out_face_has_input_id(out, f0_out, 0));
|
|
EXPECT_TRUE(out_face_has_input_id(out, f1_out, 1));
|
|
BLI_delaunay_2d_cdt_free(out);
|
|
}
|
|
|
|
TEST(delaunay, OverlapFaces)
|
|
{
|
|
CDT_input in;
|
|
CDT_result *out;
|
|
float p[][2] = {
|
|
{0.0f, 0.0f},
|
|
{1.0f, 0.0f},
|
|
{1.0f, 1.0f},
|
|
{0.0f, 1.0f},
|
|
{0.5f, 0.5f},
|
|
{1.5f, 0.5f},
|
|
{1.5f, 1.3f},
|
|
{0.5f, 1.3f},
|
|
{0.1f, 0.1f},
|
|
{0.3f, 0.1f},
|
|
{0.3f, 0.3f},
|
|
{0.1f, 0.3f},
|
|
};
|
|
int f[] = {/* 0 */ 0, 1, 2, 3, /* 1 */ 4, 5, 6, 7, /* 2*/ 8, 9, 10, 11};
|
|
int fstart[] = {0, 4, 8};
|
|
int flen[] = {4, 4, 4};
|
|
int v_out[12], v_int1, v_int2, f0_out, f1_out, f2_out;
|
|
int i;
|
|
|
|
fill_input_verts(&in, p, 12);
|
|
add_input_faces(&in, f, fstart, flen, 3);
|
|
out = BLI_delaunay_2d_cdt_calc(&in, CDT_FULL);
|
|
EXPECT_EQ(out->verts_len, 14);
|
|
EXPECT_EQ(out->edges_len, 33);
|
|
EXPECT_EQ(out->faces_len, 20);
|
|
for (i = 0; i < 12; i++) {
|
|
v_out[i] = get_output_vert_index(out, i);
|
|
EXPECT_NE(v_out[i], -1);
|
|
}
|
|
v_int1 = 12;
|
|
v_int2 = 13;
|
|
if (fabsf(out->vert_coords[v_int1][0] - 1.0f) > in.epsilon) {
|
|
v_int1 = 13;
|
|
v_int2 = 12;
|
|
}
|
|
EXPECT_NEAR(out->vert_coords[v_int1][0], 1.0, in.epsilon);
|
|
EXPECT_NEAR(out->vert_coords[v_int1][1], 0.5, in.epsilon);
|
|
EXPECT_NEAR(out->vert_coords[v_int2][0], 0.5, in.epsilon);
|
|
EXPECT_NEAR(out->vert_coords[v_int2][1], 1.0, in.epsilon);
|
|
f0_out = get_face_tri(out, v_out[1], v_int1, v_out[4]);
|
|
EXPECT_NE(f0_out, -1);
|
|
EXPECT_TRUE(out_face_has_input_id(out, f0_out, 0));
|
|
f1_out = get_face_tri(out, v_out[4], v_int1, v_out[2]);
|
|
EXPECT_NE(f1_out, -1);
|
|
EXPECT_TRUE(out_face_has_input_id(out, f1_out, 0));
|
|
EXPECT_TRUE(out_face_has_input_id(out, f1_out, 0));
|
|
f2_out = get_face_tri(out, v_out[8], v_out[9], v_out[10]);
|
|
EXPECT_NE(f2_out, -1);
|
|
EXPECT_TRUE(out_face_has_input_id(out, f2_out, 0));
|
|
EXPECT_TRUE(out_face_has_input_id(out, f2_out, 2));
|
|
BLI_delaunay_2d_cdt_free(out);
|
|
|
|
/* Different output types */
|
|
out = BLI_delaunay_2d_cdt_calc(&in, CDT_INSIDE);
|
|
EXPECT_EQ(out->faces_len, 18);
|
|
BLI_delaunay_2d_cdt_free(out);
|
|
|
|
out = BLI_delaunay_2d_cdt_calc(&in, CDT_CONSTRAINTS);
|
|
EXPECT_EQ(out->faces_len, 4);
|
|
BLI_delaunay_2d_cdt_free(out);
|
|
|
|
out = BLI_delaunay_2d_cdt_calc(&in, CDT_CONSTRAINTS_VALID_BMESH);
|
|
EXPECT_EQ(out->faces_len, 5);
|
|
BLI_delaunay_2d_cdt_free(out);
|
|
}
|
|
|
|
TEST(delaunay, TwoSquaresOverlap)
|
|
{
|
|
CDT_input in;
|
|
CDT_result *out;
|
|
float p[][2] = {
|
|
{1.0f, -1.0f},
|
|
{-1.0f, -1.0f},
|
|
{-1.0f, 1.0f},
|
|
{1.0f, 1.0f},
|
|
{-1.5f, 1.5f},
|
|
{0.5f, 1.5f},
|
|
{0.5f, -0.5f},
|
|
{-1.5f, -0.5f},
|
|
};
|
|
int f[] = {/* 0 */ 7, 6, 5, 4, /* 1 */ 3, 2, 1, 0};
|
|
int fstart[] = {0, 4};
|
|
int flen[] = {4, 4};
|
|
|
|
fill_input_verts(&in, p, 8);
|
|
add_input_faces(&in, f, fstart, flen, 2);
|
|
out = BLI_delaunay_2d_cdt_calc(&in, CDT_CONSTRAINTS_VALID_BMESH);
|
|
EXPECT_EQ(out->verts_len, 10);
|
|
EXPECT_EQ(out->edges_len, 12);
|
|
EXPECT_EQ(out->faces_len, 3);
|
|
BLI_delaunay_2d_cdt_free(out);
|
|
}
|
|
|
|
TEST(delaunay, TriCutoff)
|
|
{
|
|
CDT_input in;
|
|
CDT_result *out;
|
|
float p[][2] = {
|
|
{-3.53009f, 1.29403f},
|
|
{-4.11844f, -1.08375f},
|
|
{1.56893f, 1.29403f},
|
|
{0.621034f, 0.897734f},
|
|
{0.549125f, 1.29403f},
|
|
};
|
|
int f[] = {0, 2, 1};
|
|
int fstart[] = {0};
|
|
int flen[] = {3};
|
|
int e[][2] = {{3, 4}};
|
|
|
|
fill_input_verts(&in, p, 5);
|
|
add_input_faces(&in, f, fstart, flen, 1);
|
|
add_input_edges(&in, e, 1);
|
|
out = BLI_delaunay_2d_cdt_calc(&in, CDT_CONSTRAINTS_VALID_BMESH);
|
|
EXPECT_EQ(out->verts_len, 5);
|
|
EXPECT_EQ(out->edges_len, 6);
|
|
EXPECT_EQ(out->faces_len, 2);
|
|
BLI_delaunay_2d_cdt_free(out);
|
|
}
|
|
|
|
TEST(delaunay, TriInTri)
|
|
{
|
|
CDT_input in;
|
|
CDT_result *out;
|
|
float p[][2] = {
|
|
{-5.65685f, 0.0f},
|
|
{1.41421f, -5.83095f},
|
|
{0.0f, 0.0f},
|
|
{-2.47487f, -1.45774f},
|
|
{-0.707107f, -2.91548f},
|
|
{-1.06066f, -1.45774f},
|
|
};
|
|
int f[] = {0, 1, 2, 3, 4, 5};
|
|
int fstart[] = {0, 3};
|
|
int flen[] = {3, 3};
|
|
|
|
fill_input_verts(&in, p, 6);
|
|
add_input_faces(&in, f, fstart, flen, 2);
|
|
out = BLI_delaunay_2d_cdt_calc(&in, CDT_CONSTRAINTS_VALID_BMESH);
|
|
EXPECT_EQ(out->verts_len, 6);
|
|
EXPECT_EQ(out->edges_len, 8);
|
|
EXPECT_EQ(out->faces_len, 3);
|
|
BLI_delaunay_2d_cdt_free(out);
|
|
}
|
|
|
|
TEST(delaunay, DiamondInSquare)
|
|
{
|
|
CDT_input in;
|
|
CDT_result *out;
|
|
const char *spec = R"(8 0 2
|
|
0.0 0.0
|
|
1.0 0.0
|
|
1.0 1.0
|
|
0.0 1.0
|
|
0.14644660940672627 0.5
|
|
0.5 0.14644660940672627
|
|
0.8535533905932737 0.5
|
|
0.5 0.8535533905932737
|
|
0 1 2 3
|
|
4 5 6 7
|
|
)";
|
|
fill_input_from_string(&in, spec);
|
|
out = BLI_delaunay_2d_cdt_calc(&in, CDT_CONSTRAINTS_VALID_BMESH);
|
|
EXPECT_EQ(out->verts_len, 8);
|
|
EXPECT_EQ(out->edges_len, 10);
|
|
EXPECT_EQ(out->faces_len, 3);
|
|
free_spec_arrays(&in);
|
|
}
|
|
|
|
TEST(delaunay, DiamondInSquareWire)
|
|
{
|
|
CDT_input in;
|
|
CDT_result *out;
|
|
const char *spec = R"(8 8 0
|
|
0.0 0.0
|
|
1.0 0.0
|
|
1.0 1.0
|
|
0.0 1.0
|
|
0.14644660940672627 0.5
|
|
0.5 0.14644660940672627
|
|
0.8535533905932737 0.5
|
|
0.5 0.8535533905932737
|
|
0 1
|
|
1 2
|
|
2 3
|
|
3 0
|
|
4 5
|
|
5 6
|
|
6 7
|
|
7 4
|
|
)";
|
|
fill_input_from_string(&in, spec);
|
|
out = BLI_delaunay_2d_cdt_calc(&in, CDT_CONSTRAINTS);
|
|
EXPECT_EQ(out->verts_len, 8);
|
|
EXPECT_EQ(out->edges_len, 8);
|
|
EXPECT_EQ(out->faces_len, 2);
|
|
free_spec_arrays(&in);
|
|
}
|
|
|
|
TEST(delaunay, ClosePts)
|
|
{
|
|
CDT_input in;
|
|
CDT_result *out;
|
|
const char *spec = R"(7 2 1
|
|
0.46876350045204163 0.06087132915854454
|
|
0.46865847706794739 0.03632887825369835
|
|
0.49176687002182007 0.03632888197898865
|
|
0.49166208505630493 0.06087132543325424
|
|
0.49171400070190430 0.04841339960694313
|
|
0.49171534180641174 0.04839951172471046
|
|
0.49045535922050476 0.06087132915854454
|
|
4 5
|
|
6 4
|
|
0 1 2 3
|
|
)";
|
|
fill_input_from_string(&in, spec);
|
|
out = BLI_delaunay_2d_cdt_calc(&in, CDT_FULL);
|
|
EXPECT_EQ(out->verts_len, 7);
|
|
EXPECT_EQ(out->edges_len, 12);
|
|
EXPECT_EQ(out->faces_len, 6);
|
|
free_spec_arrays(&in);
|
|
}
|
|
|
|
TEST(delaunay, ClosePts2)
|
|
{
|
|
CDT_input in;
|
|
CDT_result *out;
|
|
const char *spec = R"(6 1 1
|
|
-0.17878936231136322 -0.44374340772628784
|
|
-0.17871695756912231 -0.45601493120193481
|
|
-0.17544384300708771 -0.45601493120193481
|
|
-0.17537136375904083 -0.44374340772628784
|
|
-0.17544738948345184 -0.45602506399154663
|
|
-0.17872454226016998 -0.45472940802574158
|
|
4 5
|
|
0 1 2 3
|
|
)";
|
|
fill_input_from_string(&in, spec);
|
|
out = BLI_delaunay_2d_cdt_calc(&in, CDT_FULL);
|
|
EXPECT_EQ(out->verts_len, 6);
|
|
EXPECT_EQ(out->edges_len, 10);
|
|
EXPECT_EQ(out->faces_len, 5);
|
|
free_spec_arrays(&in);
|
|
}
|
|
#endif
|
|
|
|
#if DO_RANDOM_TESTS
|
|
enum {
|
|
RANDOM_PTS,
|
|
RANDOM_SEGS,
|
|
RANDOM_POLY,
|
|
};
|
|
|
|
// #define DO_TIMING
|
|
static void rand_delaunay_test(int test_kind,
|
|
int max_lg_size,
|
|
int reps_per_size,
|
|
CDT_output_type otype)
|
|
{
|
|
CDT_input in;
|
|
CDT_result *out;
|
|
int lg_size, size, rep, i, npts, nedges;
|
|
float(*p)[2];
|
|
int(*e)[2];
|
|
double tstart;
|
|
double *times;
|
|
RNG *rng;
|
|
|
|
rng = BLI_rng_new(0);
|
|
npts = (1 << max_lg_size);
|
|
p = (float(*)[2])MEM_malloc_arrayN(npts, 2 * sizeof(float), "delaunay");
|
|
switch (test_kind) {
|
|
case RANDOM_PTS:
|
|
nedges = 0;
|
|
e = NULL;
|
|
break;
|
|
|
|
case RANDOM_SEGS:
|
|
case RANDOM_POLY:
|
|
/* TODO: use faces for poly case, but need to deal with winding parity issue */
|
|
nedges = npts - 1 + (test_kind == RANDOM_POLY);
|
|
e = (int(*)[2])MEM_malloc_arrayN(nedges, 2 * sizeof(int), "delaunay");
|
|
break;
|
|
|
|
default:
|
|
fprintf(stderr, "unknown random delaunay test kind\n");
|
|
return;
|
|
}
|
|
times = (double *)MEM_malloc_arrayN(max_lg_size + 1, sizeof(double), "delaunay");
|
|
for (lg_size = 0; lg_size <= max_lg_size; lg_size++) {
|
|
size = 1 << lg_size;
|
|
times[lg_size] = 0.0;
|
|
if (size == 1 && test_kind != RANDOM_PTS)
|
|
continue;
|
|
for (rep = 0; rep < reps_per_size; rep++) {
|
|
for (i = 0; i < size; i++) {
|
|
p[i][0] = (float)BLI_rng_get_double(rng); /* will be in range in [0,1) */
|
|
p[i][1] = (float)BLI_rng_get_double(rng);
|
|
}
|
|
fill_input_verts(&in, p, size);
|
|
|
|
if (test_kind == RANDOM_SEGS || test_kind == RANDOM_POLY) {
|
|
for (i = 0; i < size - 1; i++) {
|
|
e[i][0] = i;
|
|
e[i][1] = i + 1;
|
|
}
|
|
if (test_kind == RANDOM_POLY) {
|
|
e[size - 1][0] = size - 1;
|
|
e[size - 1][1] = 0;
|
|
}
|
|
add_input_edges(&in, e, size - 1 + (test_kind == RANDOM_POLY));
|
|
}
|
|
tstart = PIL_check_seconds_timer();
|
|
out = BLI_delaunay_2d_cdt_calc(&in, otype);
|
|
EXPECT_NE(out->verts_len, 0);
|
|
BLI_delaunay_2d_cdt_free(out);
|
|
times[lg_size] += PIL_check_seconds_timer() - tstart;
|
|
}
|
|
}
|
|
# ifdef DO_TIMING
|
|
fprintf(stderr, "size,time\n");
|
|
for (lg_size = 0; lg_size <= max_lg_size; lg_size++) {
|
|
fprintf(stderr, "%d,%f\n", 1 << lg_size, times[lg_size] / reps_per_size);
|
|
}
|
|
# endif
|
|
MEM_freeN(p);
|
|
if (e)
|
|
MEM_freeN(e);
|
|
MEM_freeN(times);
|
|
BLI_rng_free(rng);
|
|
}
|
|
|
|
TEST(delaunay, randompts)
|
|
{
|
|
rand_delaunay_test(RANDOM_PTS, 7, 100, CDT_FULL);
|
|
}
|
|
|
|
TEST(delaunay, randomsegs)
|
|
{
|
|
rand_delaunay_test(RANDOM_SEGS, 7, 100, CDT_FULL);
|
|
}
|
|
|
|
TEST(delaunay, randompoly)
|
|
{
|
|
rand_delaunay_test(RANDOM_POLY, 7, 100, CDT_FULL);
|
|
}
|
|
|
|
TEST(delaunay, randompoly_inside)
|
|
{
|
|
rand_delaunay_test(RANDOM_POLY, 7, 1, CDT_INSIDE);
|
|
}
|
|
|
|
TEST(delaunay, randompoly_constraints)
|
|
{
|
|
rand_delaunay_test(RANDOM_POLY, 7, 1, CDT_CONSTRAINTS);
|
|
}
|
|
|
|
TEST(delaunay, randompoly_validbmesh)
|
|
{
|
|
rand_delaunay_test(RANDOM_POLY, 7, 1, CDT_CONSTRAINTS_VALID_BMESH);
|
|
}
|
|
#endif
|
|
|
|
#if DO_FILE_TESTS
|
|
/* For timing large examples of points only.
|
|
* The given file should have one point per line, as a space-separated pair of floats.
|
|
*/
|
|
static void points_from_file_test(const char *filename)
|
|
{
|
|
CDT_input in;
|
|
CDT_result *out;
|
|
double tstart;
|
|
|
|
fill_input_from_file(&in, filename);
|
|
tstart = PIL_check_seconds_timer();
|
|
out = BLI_delaunay_2d_cdt_calc(&in, CDT_FULL);
|
|
fprintf(stderr, "time to triangulate=%f seconds\n", PIL_check_seconds_timer() - tstart);
|
|
BLI_delaunay_2d_cdt_free(out);
|
|
free_spec_arrays(&in);
|
|
}
|
|
|
|
TEST(delaunay, debug)
|
|
{
|
|
CDT_input in;
|
|
CDT_result *out;
|
|
fill_input_from_file(&in, "/tmp/cdtinput.txt");
|
|
out = BLI_delaunay_2d_cdt_calc(&in, CDT_FULL);
|
|
BLI_delaunay_2d_cdt_free(out);
|
|
free_spec_arrays(&in);
|
|
}
|
|
|
|
# if 0
|
|
# define POINTFILEROOT "/tmp/"
|
|
|
|
TEST(delaunay, terrain1)
|
|
{
|
|
points_from_file_test(POINTFILEROOT "points1.txt");
|
|
}
|
|
|
|
TEST(delaunay, terrain2)
|
|
{
|
|
points_from_file_test(POINTFILEROOT "points2.txt");
|
|
}
|
|
|
|
TEST(delaunay, terrain3)
|
|
{
|
|
points_from_file_test(POINTFILEROOT "points3.txt");
|
|
}
|
|
# endif
|
|
#endif
|