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test_marching_squares_polygon.cpp
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/******************************************************************************
* $Id$
*
* Project: GDAL algorithms
* Purpose: Tests for the marching squares algorithm
* Author: Hugo Mercier, <hugo dot mercier at oslandia dot com>
*
******************************************************************************
* Copyright (c) 2018, Hugo Mercier, <hugo dot mercier at oslandia dot com>
*
* SPDX-License-Identifier: MIT
****************************************************************************/
#include "gdal_unit_test.h"
#include "gdal_alg.h"
#include "marching_squares/level_generator.h"
#include "marching_squares/polygon_ring_appender.h"
#include "marching_squares/segment_merger.h"
#include "marching_squares/contour_generator.h"
#ifdef DEBUG
#include <fstream>
#endif
#include <limits>
#include "gtest_include.h"
namespace marching_squares
{
class TestPolygonWriter
{
public:
void startPolygon(double level)
{
currentPolygon_ = &polygons_[level];
}
void endPolygon()
{
}
void addPart(const std::list<marching_squares::Point> &ring)
{
PolygonPart part;
part.push_back(ring);
currentPolygon_->emplace_back(part);
currentPart_ = ¤tPolygon_->back();
}
void addInteriorRing(const std::list<marching_squares::Point> &ring)
{
currentPart_->push_back(ring);
}
void out(std::ostream &ostr, double level) const
{
auto pIt = polygons_.find(level);
if (pIt == polygons_.end())
return;
for (const auto &part : pIt->second)
{
ostr << "{ ";
for (const auto &ring : part)
{
ostr << "{ ";
for (const auto &pt : ring)
{
ostr << "(" << pt.x << "," << pt.y << ") ";
}
ostr << "} ";
}
ostr << "} ";
}
}
#ifdef DEBUG
void toSvg(const std::string &filename)
{
std::ofstream ofs(filename);
ofs << "<?xml version=\"1.0\" encoding=\"UTF-8\" "
"standalone=\"no\"?><svg xmlns=\"http://www.w3.org/2000/svg\" "
"version=\"1.1\">\n";
ofs << "<defs><marker id=\"arrow\" refX=\"0\" refY=\"0\" "
"orient=\"auto\">\n";
ofs << "<path d=\"M 0,0 L-1.5,-1 L-1.5,1 L0,0\" "
"style=\"fill:#000000;\" />\n";
ofs << "</marker></defs>\n";
const std::string colors[] = {"white", "#bbb", "#888",
"#666", "#333", "black"};
int level = 0;
for (auto &p : polygons_)
{
for (const auto &part : p.second)
{
ofs << "<path style=\"fill:" << colors[level] << ";\" d=\"";
for (const auto &ring : part)
{
ofs << "M ";
for (const auto &point : ring)
{
ofs << point.x * 10 << "," << point.y * 10 << " ";
}
}
ofs << "\"/>";
}
level++;
}
ofs << "</svg>";
}
#endif
private:
typedef std::vector<LineString> PolygonPart;
typedef std::vector<PolygonPart> Polygon;
Polygon *currentPolygon_ = nullptr;
PolygonPart *currentPart_ = nullptr;
public:
std::map<double, Polygon> polygons_;
};
static bool equal_linestrings(const LineString &ls1, const LineString &ls2)
{
if (ls1.size() != ls2.size())
return false;
auto it1 = ls1.begin();
auto it2 = ls2.begin();
for (; it1 != ls1.end(); it1++, it2++)
{
if (!(*it1 == *it2))
return false;
}
return true;
}
} // namespace marching_squares
namespace
{
using namespace marching_squares;
// Common fixture with test data
struct test_ms_polygon : public ::testing::Test
{
};
// Dummy test
TEST_F(test_ms_polygon, dummy)
{
// one pixel
std::vector<double> data = {2.0};
TestPolygonWriter w;
{
PolygonRingAppender<TestPolygonWriter> appender(w);
IntervalLevelRangeIterator levels(
0.0, 10.0, -std::numeric_limits<double>::infinity());
SegmentMerger<PolygonRingAppender<TestPolygonWriter>,
IntervalLevelRangeIterator>
writer(appender, levels, /* polygonize */ true);
ContourGenerator<decltype(writer), IntervalLevelRangeIterator> cg(
1, 1, false, NaN, writer, levels);
cg.feedLine(&data[0]);
}
{
std::ostringstream ostr;
w.out(ostr, 10.0);
// "Polygon #0",
EXPECT_EQ(ostr.str(), "{ { (0.5,1) (1,1) (1,0.5) (1,0) (0.5,0) (0,0) "
"(0,0.5) (0,1) (0.5,1) } } ");
}
}
TEST_F(test_ms_polygon, four_pixels)
{
// four pixels
// two rings
// 5 10
// 10 5
// levels = 0, 10
//
// legend:
// : contour
// # border (level 0)
// = border (level 10)
//
// NaN NaN NaN
// +------------------+------------------+------------------+
// | | | |
// | (0,0) | (1,0) | (2,0) |
// | 5 5| 7.5 10| 10 |
// | +#########+########+########o+========++ |
// | # | | : || |
// | # | | : || |
// | # | | : || |
// +--------+---------+--------+---------o........o+--------+
// |NaN 5 # 5| 10| 10# NaN|
// | # | | # |
// | # | | # |
// | 7.5++---------+ 7.5 7.5+--------+ |
// | # | | # |
// | # | | # |
// | # | 7.5 | # |
// +-------++.........o--------+---------+--------+---------+
// |NaN 10|| 10: | 5| 5 # NaN|
// | || : | | # |
// | || : | | # |
// | ++=========o########+#########+########+ |
// | 10 10| 7.5 5| 5 |
// | (0,2) | (1,2) | (2,2) |
// | | | |
// +------------------+------------------+------------------+
// NaN NaN NaN NaN
std::vector<double> data = {5.0, 10.0, 10.0, 5.0};
TestPolygonWriter w;
{
PolygonRingAppender<TestPolygonWriter> appender(w);
IntervalLevelRangeIterator levels(
0.0, 10.0, -std::numeric_limits<double>::infinity());
SegmentMerger<PolygonRingAppender<TestPolygonWriter>,
IntervalLevelRangeIterator>
writer(appender, levels, /* polygonize */ true);
ContourGenerator<decltype(writer), IntervalLevelRangeIterator> cg(
2, 2, false, NaN, writer, levels);
cg.feedLine(&data[0]);
cg.feedLine(&data[2]);
}
{
std::ostringstream ostr;
w.out(ostr, 10.0);
// "Polygon #1"
EXPECT_EQ(ostr.str(),
"{ { (1.5,2) (2,2) (2,1.5) (2,1) (2,0.5) (1.5,0.5) (1.5,0.5) "
"(1.5,0) (1,0) (0.5,0) (0,0) (0,0.5) (0,1) (0,1.5) (0.5,1.5) "
"(0.5,1.5) (0.5,2) (1,2) (1.5,2) } } ");
}
{
std::ostringstream ostr;
w.out(ostr, 20.0);
// "Polygon #2"
EXPECT_EQ(ostr.str(),
"{ { (2,0.5) (2,0.5) (2,0) (1.5,0) (1.5,0) (1.5,0.5) "
"(1.5,0.5) (2,0.5) } } { { (0.5,1.5) (0.5,1.5) (0,1.5) "
"(0,1.5) (0,2) (0.5,2) (0.5,2) (0.5,1.5) } } ");
}
}
TEST_F(test_ms_polygon, four_pixels_2)
{
// four pixels
// 155 155.01
// 154.99 155
// levels = 155
// NaN NaN NaN
// +------------------+------------------+------------------+
// | | | |
// | (0,0) | (1,0) | (2,0) |
// | 155 | 155.005 | 155.01 |
// | +---------+--------+---------+---------+ |
// | | 155 | 155.01 | |
// | | | | | | |
// | | | 155.005 | | |
// +--------+---------+--------+---------+---------+--------+
// |NaN 155 155 155.01 155.01 NaN|
// | | | | | |
// | 154.995 | | 155.005 |
// | +-------154.995 155.005------+ |
// | | | | | |
// | | | | | |
// | | | | | |
// +--------+---------+--------+---------+---------+--------+
// |NaN 154.99 154.99 154.995 155 155 NaN|
// | | | | | | |
// | | | | | | |
// | +---------+--------+---------+---------+ |
// | 154.99 154.99 154.995 155 155 |
// | (0,2) | (1,2) | (2,2) |
// | | | |
// +------------------+------------------+------------------+
// NaN NaN NaN NaN
std::vector<double> data = {155.0, 155.01, 154.99, 155.0};
TestPolygonWriter w;
{
PolygonRingAppender<TestPolygonWriter> appender(w);
const double levels[] = {155.0};
FixedLevelRangeIterator levelGenerator(
levels, 1, -std::numeric_limits<double>::infinity(),
std::numeric_limits<double>::infinity());
SegmentMerger<PolygonRingAppender<TestPolygonWriter>,
FixedLevelRangeIterator>
writer(appender, levelGenerator, /* polygonize */ true);
ContourGenerator<decltype(writer), FixedLevelRangeIterator> cg(
2, 2, false, NaN, writer, levelGenerator);
cg.feedLine(&data[0]);
cg.feedLine(&data[2]);
}
{
std::ostringstream ostr;
w.out(ostr, 155.0);
// "Polygon #0"
EXPECT_EQ(ostr.str(),
"{ { (1.4999,2) (1.4999,1.5) (0.5,0.5001) (0,0.5001) (0,1) "
"(0,1.5) (0,2) (0.5,2) (1,2) (1.4999,2) } } ");
}
{
std::ostringstream ostr;
w.out(ostr, Inf);
// "Polygon #1"
EXPECT_EQ(ostr.str(),
"{ { (1.5,2) (2,2) (2,1.5) (2,1) (2,0.5) (2,0) (1.5,0) (1,0) "
"(0.5,0) (0,0) (0,0.5) (0,0.5001) (0.5,0.5001) (1.4999,1.5) "
"(1.4999,2) (1.5,2) } } ");
}
}
TEST_F(test_ms_polygon, nine_pixels)
{
// nine pixels
// two nested rings
// levels = 1, 11, 21
// pixels
// +-----+-----+-----+-----+-----+
// | | | | | |
// | NaN | NaN | NaN | NaN | NaN |
// | | | | | |
// +-----+-----+-----+-----+-----+
// | | | | | |
// | NaN | 0 | 4 | 0 | NaN |
// | | | | | |
// +-----+-----+-----+-----+-----+
// | | | | | |
// | NaN | 4 | 12 | 4 | NaN |
// | | | | | |
// +-----+-----+-----+-----+-----+
// | | | | | |
// | NaN | 0 | 4 | 0 | NaN |
// | | | | | |
// +-----+-----+-----+-----+-----+
// | | | | | |
// | NaN | NaN | NaN | NaN | NaN |
// | | | | | |
// +-----+-----+-----+-----+-----+
//
// NaN NaN NaN NaN NaN
// +------------------+------------------+------------------+------------------+
// | | | | | | (0,0)
// | (1,0) | (2,0) | | | 0
// 0| 2 4| 2 0| 0 | |
// +---------+---o----+---------+---------+----o---+---------+ |
// | | | : | | | : | | |
// | | | : | | | : | | |
// | | | : | | | : | | |
// +--------+---------+---o----+---------+---------+----o---+---------+--------+
// NaN |NaN 0| 0| _/ 2 4| 2 \_0| |0 | |
// o.........o/ | \o.........o |
// | | | | | | |
// | 2+---------+ 2 | 2+---------+2
// | | | | | | |
// | | | | _o_ | |
// | | | | / | \ | |
// |
// +--------+---------+---------------o--+--o---------------+---------+--------+
// NaN |NaN 4| 4| \12 / 4| |4 | |
// | | -o- | | |
// | | | | | | |
// | 2+---------+ 2 | 2+---------+2
// | | | | | | |
// | | o.........o_ | _o.........o
// | | | | \_ 2 | 2 _/ | |
// |
// +--------+---------+---o----+---------+--------+----o/---+---------+--------+
// NaN |NaN 0| 0| : | 4| | : 0| |0 | |
// | | : | | | : | | |
// | | | : | | | : | | |
// | +---------+---o----+---------+--------+----o----+---------+ |
// | 0 0| 2 4| 2 0| 0 |
// | (0,3) | (1,3) | (2,3) | | | | | | |
// +------------------+------------------+------------------+------------------+
// NaN NaN NaN NaN NaN
std::vector<double> data = {0.0, 4.0, 0.0, 4.0, 12.0, 4.0, 0.0, 4.0, 0.0};
TestPolygonWriter w;
{
PolygonRingAppender<TestPolygonWriter> appender(w);
IntervalLevelRangeIterator levels(
1.0, 10.0, -std::numeric_limits<double>::infinity());
SegmentMerger<PolygonRingAppender<TestPolygonWriter>,
IntervalLevelRangeIterator>
writer(appender, levels, /* polygonize */ true);
ContourGenerator<decltype(writer), IntervalLevelRangeIterator> cg(
3, 3, false, NaN, writer, levels);
cg.feedLine(&data[0]);
cg.feedLine(&data[3]);
cg.feedLine(&data[6]);
}
{
std::ostringstream ostr;
w.out(ostr, 1.0);
// "Polygon #0"
EXPECT_EQ(ostr.str(),
"{ { (0.5,0.75) (0.75,0.5) (0.75,0) (0.5,0) (0,0) (0,0.5) "
"(0,0.75) (0.5,0.75) } } { { (2.5,0.75) (3,0.75) (3,0.5) "
"(3,0) (2.5,0) (2.25,0) (2.25,0.5) (2.5,0.75) } } { { "
"(0.75,3) (0.75,2.5) (0.5,2.25) (0,2.25) (0,2.5) (0,3) "
"(0.5,3) (0.75,3) } } { { (2.5,3) (3,3) (3,2.5) (3,2.25) "
"(2.5,2.25) (2.25,2.5) (2.25,3) (2.5,3) } } ");
}
{
std::ostringstream ostr;
w.out(ostr, 11.0);
// "Polygon #1"
EXPECT_EQ(ostr.str(),
"{ { (2.25,2.5) (2.5,2.25) (3,2.25) (3,2) (3,1.5) (3,1) "
"(3,0.75) (2.5,0.75) (2.25,0.5) (2.25,0) (2,0) (1.5,0) (1,0) "
"(0.75,0) (0.75,0.5) (0.5,0.75) (0,0.75) (0,1) (0,1.5) (0,2) "
"(0,2.25) (0.5,2.25) (0.75,2.5) (0.75,3) (1,3) (1.5,3) (2,3) "
"(2.25,3) (2.25,2.5) } { (1.625,1.5) (1.5,1.625) (1.375,1.5) "
"(1.5,1.375) (1.625,1.5) } } ");
}
{
std::ostringstream ostr;
w.out(ostr, 21.0);
// "Polygon #2"
EXPECT_EQ(ostr.str(), "{ { (1.625,1.5) (1.5,1.625) (1.375,1.5) "
"(1.5,1.375) (1.625,1.5) } } ");
}
}
TEST_F(test_ms_polygon, three_nested_rings)
{
// Three nested rings
std::vector<double> data = {2, 2, 2, 2, 2, 2, 4, 4, 4, 2, 2, 4, 6,
4, 2, 2, 4, 4, 4, 2, 2, 2, 2, 2, 2};
TestPolygonWriter w;
{
PolygonRingAppender<TestPolygonWriter> appender(w);
IntervalLevelRangeIterator levels(
1.0, 2.0, -std::numeric_limits<double>::infinity());
SegmentMerger<PolygonRingAppender<TestPolygonWriter>,
IntervalLevelRangeIterator>
writer(appender, levels, /* polygonize */ true);
ContourGenerator<decltype(writer), IntervalLevelRangeIterator> cg(
5, 5, false, NaN, writer, levels);
for (int i = 0; i < 5; i++)
{
cg.feedLine(&data[5 * i]);
}
}
{
std::ostringstream ostr;
w.out(ostr, 1.0);
// "Polygon #0"
EXPECT_EQ(ostr.str(), "");
}
{
std::ostringstream ostr;
w.out(ostr, 3.0);
// "Polygon #1"
EXPECT_EQ(
ostr.str(),
"{ { (4.5,5) (5,5) (5,4.5) (5,4) (5,3.5) (5,3) (5,2.5) (5,2) "
"(5,1.5) (5,1) (5,0.5) (5,0) (4.5,0) (4,0) (3.5,0) (3,0) (2.5,0) "
"(2,0) (1.5,0) (1,0) (0.5,0) (0,0) (0,0.5) (0,1) (0,1.5) (0,2) "
"(0,2.5) (0,3) (0,3.5) (0,4) (0,4.5) (0,5) (0.5,5) (1,5) (1.5,5) "
"(2,5) (2.5,5) (3,5) (3.5,5) (4,5) (4.5,5) } { (4,3.5) (3.5,4) "
"(2.5,4) (1.5,4) (1,3.5) (1,2.5) (1,1.5) (1.5,1) (2.5,1) (3.5,1) "
"(4,1.5) (4,2.5) (4,3.5) } } ");
}
{
std::ostringstream ostr;
w.out(ostr, 5.0);
// "Polygon #2"
EXPECT_EQ(ostr.str(),
"{ { (4,3.5) (3.5,4) (2.5,4) (1.5,4) (1,3.5) (1,2.5) (1,1.5) "
"(1.5,1) (2.5,1) (3.5,1) (4,1.5) (4,2.5) (4,3.5) } { (3,2.5) "
"(2.5,3) (2,2.5) (2.5,2) (3,2.5) } } ");
}
{
std::ostringstream ostr;
w.out(ostr, 7.0);
// "Polygon #3"
EXPECT_EQ(ostr.str(),
"{ { (3,2.5) (2.5,3) (2,2.5) (2.5,2) (3,2.5) } } ");
}
// "Inner ring of polygon #1 = exterioring ring of polygon #2"
EXPECT_TRUE(
equal_linestrings(w.polygons_[3.0][0][1], w.polygons_[5.0][0][0]));
// "Inner ring of polygon #2 = exterioring ring of polygon #3"
EXPECT_TRUE(
equal_linestrings(w.polygons_[5.0][0][1], w.polygons_[7.0][0][0]));
}
} // namespace