mapnik/test/unit/vertex_adapter/line_offset_test.cpp

#include "catch.hpp"

// mapnik
#include <mapnik/vertex_cache.hpp>
#include <mapnik/global.hpp>

// stl
#include <iostream>
#include <vector>
#include <tuple>

struct fake_path
{
    using coord_type = std::tuple<double, double, unsigned>;
    using cont_type = std::vector<coord_type>;
    cont_type vertices_;
    cont_type::iterator itr_;

    fake_path(std::initializer_list<double> l)
        : fake_path(l.begin(), l.size()) {
    }

    fake_path(std::vector<double> const &v)
        : fake_path(v.begin(), v.size()) {
    }

    template <typename Itr>
    fake_path(Itr itr, size_t sz) {
        size_t num_coords = sz >> 1;
        vertices_.reserve(num_coords);

        for (size_t i = 0; i < num_coords; ++i) {
            double x = *itr++;
            double y = *itr++;
            unsigned cmd = (i == 0) ? agg::path_cmd_move_to : agg::path_cmd_line_to;
            vertices_.push_back(std::make_tuple(x, y, cmd));
        }
        itr_ = vertices_.begin();
    }

    unsigned vertex(double *x, double *y) {
        if (itr_ == vertices_.end()) {
            return agg::path_cmd_stop;
        }
        *x = std::get<0>(*itr_);
        *y = std::get<1>(*itr_);
        unsigned cmd = std::get<2>(*itr_);
        ++itr_;
        return cmd;
    }

    void rewind(unsigned) {
        itr_ = vertices_.begin();
    }
};

double dist(mapnik::pixel_position const &a,
            mapnik::pixel_position const &b)
{
    mapnik::pixel_position d = a - b;
    return std::sqrt(d.x*d.x + d.y*d.y);
}

void test_simple_segment(double const &offset)
{
    const double dx = 0.01;
    fake_path path = {0, 0, 1, 0}, off_path = {0, offset, 1, offset};
    mapnik::vertex_cache vc(path), off_vc(off_path);

    vc.reset(); vc.next_subpath();
    off_vc.reset(); off_vc.next_subpath();

    while (vc.move(dx)) {
        double pos = vc.linear_position();
        double off_pos = off_vc.position_closest_to(vc.current_position());
        REQUIRE(std::abs(pos - off_pos) < 1.0e-6);
    }
}

void test_straight_line(double const &offset) {
    const double dx = 0.01;
    fake_path path = {0, 0, 0.1, 0, 0.9, 0, 1, 0},
        off_path = {0, offset, 0.4, offset, 0.6, offset, 1, offset};
    mapnik::vertex_cache vc(path), off_vc(off_path);

    vc.reset(); vc.next_subpath();
    off_vc.reset(); off_vc.next_subpath();

    while (vc.move(dx)) {
        double pos = vc.linear_position();
        double off_pos = off_vc.position_closest_to(vc.current_position());
        REQUIRE(std::abs(pos - off_pos) < 1.0e-6);
    }
}

void test_offset_curve(double const &offset) {
    const double dx = 0.01;
    const double r = (1.0 + offset);

    std::vector<double> pos, off_pos;
    const size_t max_i = 1000;
    for (size_t i = 0; i <= max_i; ++i) {
        double x = M_PI * double(i) / max_i;
        pos.push_back(-std::cos(x)); pos.push_back(std::sin(x));
        off_pos.push_back(-r * std::cos(x)); off_pos.push_back(r * std::sin(x));
    }

    fake_path path(pos), off_path(off_pos);
    mapnik::vertex_cache vc(path), off_vc(off_path);

    vc.reset(); vc.next_subpath();
    off_vc.reset(); off_vc.next_subpath();

    while (vc.move(dx)) {
        double mpos = vc.linear_position();
        double moff_pos = off_vc.position_closest_to(vc.current_position());
        {
            mapnik::vertex_cache::scoped_state s(off_vc);
            off_vc.move(moff_pos);
            auto eps = (1.001 * offset);
            auto actual = dist(vc.current_position(), off_vc.current_position());
            REQUIRE(actual < eps);
        }
        REQUIRE(std::abs((mpos / vc.length()) - (moff_pos / off_vc.length())) < 1.0e-3);
    }
}

void test_s_shaped_curve(double const &offset) {
    const double dx = 0.01;
    const double r = (1.0 + offset);
    const double r2 = (1.0 - offset);

    std::vector<double> pos, off_pos;
    const size_t max_i = 1000;
    for (size_t i = 0; i <= max_i; ++i) {
        double x = M_PI * double(i) / max_i;
        pos.push_back(-std::cos(x) - 1); pos.push_back(std::sin(x));
        off_pos.push_back(-r * std::cos(x) - 1); off_pos.push_back(r * std::sin(x));
    }
    for (size_t i = 0; i <= max_i; ++i) {
        double x = M_PI * double(i) / max_i;
        pos.push_back(-std::cos(x) + 1); pos.push_back(-std::sin(x));
        off_pos.push_back(-r2 * std::cos(x) + 1); off_pos.push_back(-r2 * std::sin(x));
    }

    fake_path path(pos), off_path(off_pos);
    mapnik::vertex_cache vc(path), off_vc(off_path);

    vc.reset(); vc.next_subpath();
    off_vc.reset(); off_vc.next_subpath();

    while (vc.move(dx)) {
        double moff_pos = off_vc.position_closest_to(vc.current_position());
        {
            mapnik::vertex_cache::scoped_state s(off_vc);
            off_vc.move(moff_pos);
            REQUIRE(dist(vc.current_position(), off_vc.current_position()) < (1.002 * offset));
        }
    }
}

TEST_CASE("offsets") {

SECTION("line") {
    try {

        std::vector<double> offsets = { 0.01, 0.02, 0.1, 0.2 };
        for (double offset : offsets) {
            // test simple straight line segment - should be easy to
            // find the correspondance here.
            test_simple_segment(offset);

            // test straight line consisting of more than one segment.
            test_straight_line(offset);

            // test an offset outer curve
            test_offset_curve(offset);

            // test an offset along an S-shaped curve, which is harder
            // because the positions along the offset are no longer
            // linearly related to the positions along the original
            // curve.
            test_s_shaped_curve(offset);
        }
    }
    catch (std::exception const& ex)
    {
        std::cerr << ex.what() << "\n";
        REQUIRE(false);
    }
}
}