基于Android studio3.6的三角剖分Delaunay之打包jar &调用jar

代码:

https://github.com/watersink/delaunator-jar-test

 

基本环境：

Android studio3.6

NDK:r15c（尽量使用该版本）

 

打包jar操作：

(1)File->New project->native c++->delaunator->c++11

(2)app/src/main/java/com/example/delaunator下面新建Delaunator

package com.example.delaunator;

public class Delaunator {

    static {
        System.loadLibrary("delaunator-jni");
    }

    public native int[] delaunator(float[] vertex);
}

(3)MainActivity中的实现，

public class MainActivity extends AppCompatActivity {

    // Used to load the 'native-lib' library on application startup.
    private Delaunator delaunator = new Delaunator();
    @Override
    protected void onCreate(Bundle savedInstanceState) {
        super.onCreate(savedInstanceState);
        setContentView(R.layout.activity_main);


        float[] vertex={(float)0.0, (float)0.0,(float)7, (float)1, (float)0,(float)7, (float)1, (float)1, (float)7, (float)0,(float)1, (float)7};
        int[] index = delaunator.delaunator(vertex);
        for (int i=0;i

(4)app/src/main/cpp中添加delaunator.hpp类

#pragma once

#include 
#include 
//#include 
//#include 
#include 
#include 
//#include 
#include 

namespace delaunator {

//@see https://stackoverflow.com/questions/33333363/built-in-mod-vs-custom-mod-function-improve-the-performance-of-modulus-op/33333636#33333636
inline size_t fast_mod(const size_t i, const size_t c) {
    return i >= c ? i % c : i;
}

// Kahan and Babuska summation, Neumaier variant; accumulates less FP error
inline float sum(const std::vector& x) {
    float sum = x[0];
    float err = 0.0;

    for (size_t i = 1; i < x.size(); i++) {
        const float k = x[i];
        const float m = sum + k;
        err += std::fabs(sum) >= std::fabs(k) ? sum - m + k : k - m + sum;
        sum = m;
    }
    return sum + err;
}

inline float dist(
    const float ax,
    const float ay,
    const float bx,
    const float by) {
    const float dx = ax - bx;
    const float dy = ay - by;
    return dx * dx + dy * dy;
}

inline float circumradius(
    const float ax,
    const float ay,
    const float bx,
    const float by,
    const float cx,
    const float cy) {
    const float dx = bx - ax;
    const float dy = by - ay;
    const float ex = cx - ax;
    const float ey = cy - ay;

    const float bl = dx * dx + dy * dy;
    const float cl = ex * ex + ey * ey;
    const float d = dx * ey - dy * ex;

    const float x = (ey * bl - dy * cl) * 0.5 / d;
    const float y = (dx * cl - ex * bl) * 0.5 / d;

    if ((bl > 0.0 || bl < 0.0) && (cl > 0.0 || cl < 0.0) && (d > 0.0 || d < 0.0)) {
        return x * x + y * y;
    } else {
        return std::numeric_limits::max();
    }
}

inline bool orient(
    const float px,
    const float py,
    const float qx,
    const float qy,
    const float rx,
    const float ry) {
    return (qy - py) * (rx - qx) - (qx - px) * (ry - qy) < 0.0;
}

inline std::pair circumcenter(
    const float ax,
    const float ay,
    const float bx,
    const float by,
    const float cx,
    const float cy) {
    const float dx = bx - ax;
    const float dy = by - ay;
    const float ex = cx - ax;
    const float ey = cy - ay;

    const float bl = dx * dx + dy * dy;
    const float cl = ex * ex + ey * ey;
    const float d = dx * ey - dy * ex;

    const float x = ax + (ey * bl - dy * cl) * 0.5 / d;
    const float y = ay + (dx * cl - ex * bl) * 0.5 / d;

    return std::make_pair(x, y);
}

struct compare {

    std::vector const& coords;
    float cx;
    float cy;

    bool operator()(std::size_t i, std::size_t j) {
        const float d1 = dist(coords[2 * i], coords[2 * i + 1], cx, cy);
        const float d2 = dist(coords[2 * j], coords[2 * j + 1], cx, cy);
        const float diff1 = d1 - d2;
        const float diff2 = coords[2 * i] - coords[2 * j];
        const float diff3 = coords[2 * i + 1] - coords[2 * j + 1];

        if (diff1 > 0.0 || diff1 < 0.0) {
            return diff1 < 0;
        } else if (diff2 > 0.0 || diff2 < 0.0) {
            return diff2 < 0;
        } else {
            return diff3 < 0;
        }
    }
};

inline bool in_circle(
    const float ax,
    const float ay,
    const float bx,
    const float by,
    const float cx,
    const float cy,
    const float px,
    const float py) {
    const float dx = ax - px;
    const float dy = ay - py;
    const float ex = bx - px;
    const float ey = by - py;
    const float fx = cx - px;
    const float fy = cy - py;

    const float ap = dx * dx + dy * dy;
    const float bp = ex * ex + ey * ey;
    const float cp = fx * fx + fy * fy;

    return (dx * (ey * cp - bp * fy) -
            dy * (ex * cp - bp * fx) +
            ap * (ex * fy - ey * fx)) < 0.0;
}

constexpr float EPSILON = std::numeric_limits::epsilon();
constexpr std::size_t INVALID_INDEX = std::numeric_limits::max();

inline bool check_pts_equal(float x1, float y1, float x2, float y2) {
    return std::fabs(x1 - x2) <= EPSILON &&
           std::fabs(y1 - y2) <= EPSILON;
}

// monotonically increases with real angle, but doesn't need expensive trigonometry
inline float pseudo_angle(const float dx, const float dy) {
    const float p = dx / (std::abs(dx) + std::abs(dy));
    return (dy > 0.0 ? 3.0 - p : 1.0 + p) / 4.0; // [0..1)
}

struct DelaunatorPoint {
    std::size_t i;
    float x;
    float y;
    std::size_t t;
    std::size_t prev;
    std::size_t next;
    bool removed;
};

class Delaunator {

public:
    //std::vector const& coords;
    std::vector  coords;
    std::vector  coords_3d;
    std::vector triangles;
    std::vector halfedges;
    std::vector hull_prev;
    std::vector hull_next;
    std::vector hull_tri;
    std::size_t hull_start;

    Delaunator(std::vector const& in_coords);

    float get_hull_area();

private:
    std::vector m_hash;
    float m_center_x;
    float m_center_y;
    std::size_t m_hash_size;
    std::vector m_edge_stack;

    std::size_t legalize(std::size_t a);
    std::size_t hash_key(float x, float y) const;
    std::size_t add_triangle(
        std::size_t i0,
        std::size_t i1,
        std::size_t i2,
        std::size_t a,
        std::size_t b,
        std::size_t c);
    void link(std::size_t a, std::size_t b);
};

Delaunator::Delaunator(std::vector const& in_coords){
/*
    : coords(in_coords),
      triangles(),
      halfedges(),
      hull_prev(),
      hull_next(),
      hull_tri(),
      hull_start(),
      m_hash(),
      m_center_x(),
      m_center_y(),
      m_hash_size(),
      m_edge_stack() {*/

    coords_3d.assign(in_coords.begin(), in_coords.end());


    for (int i=0;i> 1;

    float max_x = std::numeric_limits::min();
    float max_y = std::numeric_limits::min();
    float min_x = std::numeric_limits::max();
    float min_y = std::numeric_limits::max();
    std::vector ids;
    ids.reserve(n);

    for (std::size_t i = 0; i < n; i++) {
        const float x = coords[2 * i];
        const float y = coords[2 * i + 1];

        if (x < min_x) min_x = x;
        if (y < min_y) min_y = y;
        if (x > max_x) max_x = x;
        if (y > max_y) max_y = y;

        ids.push_back(i);
    }
    const float cx = (min_x + max_x) / 2;
    const float cy = (min_y + max_y) / 2;
    float min_dist = std::numeric_limits::max();

    std::size_t i0 = INVALID_INDEX;
    std::size_t i1 = INVALID_INDEX;
    std::size_t i2 = INVALID_INDEX;

    // pick a seed point close to the centroid
    for (std::size_t i = 0; i < n; i++) {
        const float d = dist(cx, cy, coords[2 * i], coords[2 * i + 1]);
        if (d < min_dist) {
            i0 = i;
            min_dist = d;
        }
    }

    const float i0x = coords[2 * i0];
    const float i0y = coords[2 * i0 + 1];

    min_dist = std::numeric_limits::max();

    // find the point closest to the seed
    for (std::size_t i = 0; i < n; i++) {
        if (i == i0) continue;
        const float d = dist(i0x, i0y, coords[2 * i], coords[2 * i + 1]);
        if (d < min_dist && d > 0.0) {
            i1 = i;
            min_dist = d;
        }
    }

    float i1x = coords[2 * i1];
    float i1y = coords[2 * i1 + 1];

    float min_radius = std::numeric_limits::max();

    // find the third point which forms the smallest circumcircle with the first two
    for (std::size_t i = 0; i < n; i++) {
        if (i == i0 || i == i1) continue;

        const float r = circumradius(
            i0x, i0y, i1x, i1y, coords[2 * i], coords[2 * i + 1]);

        if (r < min_radius) {
            i2 = i;
            min_radius = r;
        }
    }

    if (!(min_radius < std::numeric_limits::max())) {
        throw std::runtime_error("not triangulation");
    }

    float i2x = coords[2 * i2];
    float i2y = coords[2 * i2 + 1];

    if (orient(i0x, i0y, i1x, i1y, i2x, i2y)) {
        std::swap(i1, i2);
        std::swap(i1x, i2x);
        std::swap(i1y, i2y);
    }

    std::tie(m_center_x, m_center_y) = circumcenter(i0x, i0y, i1x, i1y, i2x, i2y);

    // sort the points by distance from the seed triangle circumcenter
    std::sort(ids.begin(), ids.end(), compare{ coords, m_center_x, m_center_y });

    // initialize a hash table for storing edges of the advancing convex hull
    m_hash_size = static_cast(llround(std::ceil(std::sqrt(n))));
    m_hash.resize(m_hash_size);
    std::fill(m_hash.begin(), m_hash.end(), INVALID_INDEX);

    // initialize arrays for tracking the edges of the advancing convex hull
    hull_prev.resize(n);
    hull_next.resize(n);
    hull_tri.resize(n);

    hull_start = i0;

    size_t hull_size = 3;

    hull_next[i0] = hull_prev[i2] = i1;
    hull_next[i1] = hull_prev[i0] = i2;
    hull_next[i2] = hull_prev[i1] = i0;

    hull_tri[i0] = 0;
    hull_tri[i1] = 1;
    hull_tri[i2] = 2;

    m_hash[hash_key(i0x, i0y)] = i0;
    m_hash[hash_key(i1x, i1y)] = i1;
    m_hash[hash_key(i2x, i2y)] = i2;

    std::size_t max_triangles = n < 3 ? 1 : 2 * n - 5;
    triangles.reserve(max_triangles * 3);
    halfedges.reserve(max_triangles * 3);
    add_triangle(i0, i1, i2, INVALID_INDEX, INVALID_INDEX, INVALID_INDEX);
    float xp = std::numeric_limits::quiet_NaN();
    float yp = std::numeric_limits::quiet_NaN();
    for (std::size_t k = 0; k < n; k++) {
        const std::size_t i = ids[k];
        const float x = coords[2 * i];
        const float y = coords[2 * i + 1];

        // skip near-duplicate points
        if (k > 0 && check_pts_equal(x, y, xp, yp)) continue;
        xp = x;
        yp = y;

        // skip seed triangle points
        if (
            check_pts_equal(x, y, i0x, i0y) ||
            check_pts_equal(x, y, i1x, i1y) ||
            check_pts_equal(x, y, i2x, i2y)) continue;

        // find a visible edge on the convex hull using edge hash
        std::size_t start = 0;

        size_t key = hash_key(x, y);
        for (size_t j = 0; j < m_hash_size; j++) {
            start = m_hash[fast_mod(key + j, m_hash_size)];
            if (start != INVALID_INDEX && start != hull_next[start]) break;
        }

        start = hull_prev[start];
        size_t e = start;
        size_t q;

        while (q = hull_next[e], !orient(x, y, coords[2 * e], coords[2 * e + 1], coords[2 * q], coords[2 * q + 1])) { //TODO: does it works in a same way as in JS
            e = q;
            if (e == start) {
                e = INVALID_INDEX;
                break;
            }
        }

        if (e == INVALID_INDEX) continue; // likely a near-duplicate point; skip it

        // add the first triangle from the point
        std::size_t t = add_triangle(
            e,
            i,
            hull_next[e],
            INVALID_INDEX,
            INVALID_INDEX,
            hull_tri[e]);

        hull_tri[i] = legalize(t + 2);
        hull_tri[e] = t;
        hull_size++;

        // walk forward through the hull, adding more triangles and flipping recursively
        std::size_t next = hull_next[e];
        while (
            q = hull_next[next],
            orient(x, y, coords[2 * next], coords[2 * next + 1], coords[2 * q], coords[2 * q + 1])) {
            t = add_triangle(next, i, q, hull_tri[i], INVALID_INDEX, hull_tri[next]);
            hull_tri[i] = legalize(t + 2);
            hull_next[next] = next; // mark as removed
            hull_size--;
            next = q;
        }

        // walk backward from the other side, adding more triangles and flipping
        if (e == start) {
            while (
                q = hull_prev[e],
                orient(x, y, coords[2 * q], coords[2 * q + 1], coords[2 * e], coords[2 * e + 1])) {
                t = add_triangle(q, i, e, INVALID_INDEX, hull_tri[e], hull_tri[q]);
                legalize(t + 2);
                hull_tri[q] = t;
                hull_next[e] = e; // mark as removed
                hull_size--;
                e = q;
            }
        }

        // update the hull indices
        hull_prev[i] = e;
        hull_start = e;
        hull_prev[next] = i;
        hull_next[e] = i;
        hull_next[i] = next;

        m_hash[hash_key(x, y)] = i;
        m_hash[hash_key(coords[2 * e], coords[2 * e + 1])] = e;
    }
}

float Delaunator::get_hull_area() {
    std::vector hull_area;
    size_t e = hull_start;
    do {
        hull_area.push_back((coords[2 * e] - coords[2 * hull_prev[e]]) * (coords[2 * e + 1] + coords[2 * hull_prev[e] + 1]));
        e = hull_next[e];
    } while (e != hull_start);
    return sum(hull_area);
}

std::size_t Delaunator::legalize(std::size_t a) {
    std::size_t i = 0;
    std::size_t ar = 0;
    m_edge_stack.clear();

    // recursion eliminated with a fixed-size stack
    while (true) {
        const size_t b = halfedges[a];

        /* if the pair of triangles doesn't satisfy the Delaunay condition
        * (p1 is inside the circumcircle of [p0, pl, pr]), flip them,
        * then do the same check/flip recursively for the new pair of triangles
        *
        *           pl                    pl
        *          /||\                  /  \
        *       al/ || \bl            al/    \a
        *        /  ||  \              /      \
        *       /  a||b  \    flip    /___ar___\
        *     p0\   ||   /p1   =>   p0\---bl---/p1
        *        \  ||  /              \      /
        *       ar\ || /br             b\    /br
        *          \||/                  \  /
        *           pr                    pr
        */
        const size_t a0 = 3 * (a / 3);
        ar = a0 + (a + 2) % 3;

        if (b == INVALID_INDEX) {
            if (i > 0) {
                i--;
                a = m_edge_stack[i];
                continue;
            } else {
                //i = INVALID_INDEX;
                break;
            }
        }

        const size_t b0 = 3 * (b / 3);
        const size_t al = a0 + (a + 1) % 3;
        const size_t bl = b0 + (b + 2) % 3;

        const std::size_t p0 = triangles[ar];
        const std::size_t pr = triangles[a];
        const std::size_t pl = triangles[al];
        const std::size_t p1 = triangles[bl];

        const bool illegal = in_circle(
            coords[2 * p0],
            coords[2 * p0 + 1],
            coords[2 * pr],
            coords[2 * pr + 1],
            coords[2 * pl],
            coords[2 * pl + 1],
            coords[2 * p1],
            coords[2 * p1 + 1]);

        if (illegal) {
            triangles[a] = p1;
            triangles[b] = p0;

            auto hbl = halfedges[bl];

            // edge swapped on the other side of the hull (rare); fix the halfedge reference
            if (hbl == INVALID_INDEX) {
                std::size_t e = hull_start;
                do {
                    if (hull_tri[e] == bl) {
                        hull_tri[e] = a;
                        break;
                    }
                    e = hull_next[e];
                } while (e != hull_start);
            }
            link(a, hbl);
            link(b, halfedges[ar]);
            link(ar, bl);
            std::size_t br = b0 + (b + 1) % 3;

            if (i < m_edge_stack.size()) {
                m_edge_stack[i] = br;
            } else {
                m_edge_stack.push_back(br);
            }
            i++;

        } else {
            if (i > 0) {
                i--;
                a = m_edge_stack[i];
                continue;
            } else {
                break;
            }
        }
    }
    return ar;
}

inline std::size_t Delaunator::hash_key(const float x, const float y) const {
    const float dx = x - m_center_x;
    const float dy = y - m_center_y;
    return fast_mod(
        static_cast(llround(std::floor(pseudo_angle(dx, dy) * static_cast(m_hash_size)))),
        m_hash_size);
}

std::size_t Delaunator::add_triangle(
    std::size_t i0,
    std::size_t i1,
    std::size_t i2,
    std::size_t a,
    std::size_t b,
    std::size_t c) {
    std::size_t t = triangles.size();
    triangles.push_back(i0);
    triangles.push_back(i1);
    triangles.push_back(i2);
    link(t, a);
    link(t + 1, b);
    link(t + 2, c);
    return t;
}

void Delaunator::link(const std::size_t a, const std::size_t b) {
    std::size_t s = halfedges.size();
    if (a == s) {
        halfedges.push_back(b);
    } else if (a < s) {
        halfedges[a] = b;
    } else {
        throw std::runtime_error("Cannot link edge");
    }
    if (b != INVALID_INDEX) {
        std::size_t s2 = halfedges.size();
        if (b == s2) {
            halfedges.push_back(a);
        } else if (b < s2) {
            halfedges[b] = a;
        } else {
            throw std::runtime_error("Cannot link edge");
        }
    }
}

} //namespace delaunator

(5)app/src/main/cpp中添加delaunator-jni.cpp

extern "C"
JNIEXPORT jintArray JNICALL
Java_com_example_delaunator_Delaunator_delaunator(JNIEnv *env, jobject thiz, jfloatArray vertex) {
    // TODO: implement delaunator()

    std::vector coords;
    jfloat* float_elems = env->GetFloatArrayElements(vertex, 0);
    for (jsize index=0; indexGetArrayLength(vertex);index++) {
        coords.push_back(float_elems[index]);
    }

    //triangulation happens here
    delaunator::Delaunator d(coords);
    int *buffer = new int[d.triangles.size()];
    if (!d.triangles.empty())
    {
        memcpy(buffer, &d.triangles[0], d.triangles.size()*sizeof(int));
    }

    jintArray jOutputData = env->NewIntArray(d.triangles.size());
    env->SetIntArrayRegion(jOutputData, 0, d.triangles.size(), buffer);
    delete []buffer;

    if (jOutputData == nullptr) return nullptr;
    return jOutputData;
    
}

(6)修改CMakeLists.txt

cmake_minimum_required(VERSION 3.4.1)
# Debug版本添加日志库，Release版本不添加日志库，并隐藏符号，并导出符号表
if (${CMAKE_BUILD_TYPE} MATCHES "Debug")
    list(APPEND libraries ${log-lib})
    add_definitions("-DLOG_OPEN")
else ()
    set(CMAKE_CXX_VISIBILITY_PRESET hidden)
    set(CMAKE_C_VISIBILITY_PRESET hidden)
    set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -fvisibility=hidden")
    set(CMAKE_C_FLAGS "${CMAKE_C_FLAGS} -fvisibility=hidden")
    set(CMAKE_SHARED_LINKER_FLAGS  "${CMAKE_SHARED_LINKER_FLAGS} -Wl,-Map=output.map" CACHE INTERNAL "")
endif ()
add_library( # Sets the name of the library.
             delaunator-jni
             # Sets the library as a shared library.
             SHARED
             # Provides a relative path to your source file(s).
             delaunator-jni.cpp)
find_library( # Sets the name of the path variable.
              log-lib
              # Specifies the name of the NDK library that
              # you want CMake to locate.
              log )
target_link_libraries( # Specifies the target library.
                       delaunator-jni
                       # Links the target library to the log library
                       # included in the NDK.
                       ${log-lib} )

(7)修改app/build.gradle

修改apply plugin: 'com.android.application'为apply plugin: 'com.android.library'

将applicationId "com.example.delaunator"注释掉

增加编译的优化设置，可以模型加密，输出更快，更小的so，

 externalNativeBuild {
            cmake {
                arguments "-DANDROID_TOOLCHAIN=clang"
                cFlags "-fopenmp -O2 -fvisibility=hidden -fomit-frame-pointer -fstrict-aliasing -ffunction-sections -fdata-sections -ffast-math "
                cppFlags "-fopenmp -O2 -fvisibility=hidden -fvisibility-inlines-hidden -fomit-frame-pointer -fstrict-aliasing -ffunction-sections -fdata-sections -ffast-math "
                arguments "-DANDROID_STL=c++_shared", "-DANDROID_CPP_FEATURES=rtti exceptions"
                cppFlags ""
                cppFlags "-std=c++11"
                cppFlags "-frtti"
                cppFlags "-fexceptions"
            }
        }
        ndk {
            abiFilters 'armeabi-v7a'// , 'arm64-v8a' //,'x86', 'x86_64', 'armeabi'
            stl "gnustl_static"
        }

增加makejar设置，

task makeJar(type: Copy) {
    def SDK_NAME = "Delaunator"; //sdk的名字
    def SDK_VERSION = "_V1.0"; //版本
    def sdkDestinationPath = "build";

    delete sdkDestinationPath + SDK_NAME + SDK_VERSION + ".jar"
    from('build/intermediates/aar_main_jar/release/')//从该目录下加载要打包的文件
    from fileTree(dir: 'build/intermediates/merged_native_libs/release/out/lib',includes: ['**'])//打包模型文件,so文件
    into('build/libs/')//jar包的保存目录
    //include('classes.jar')//设置过滤，只打包classes文件
    rename('classes.jar',  SDK_NAME + SDK_VERSION + ".jar")//重命名，mylibrary.jar 根据自己的需求设置
}
makeJar.dependsOn(build)

(8)IDE的右侧，项目名称/Tasks/other/下面双击makeJar，然后可以在build/libs下面生成打包文件，

 

调用jar操作：

(1)File->New project->Empty Activity->My Application->Finish

(2)将生成的so和jar包拷贝到libs文件夹下面

(3)File->Project Structure->Dependencies->app->+->jar dependency，添加我们的Delaunator_V1.0.jar

完成后，会在app/build.gradle下面dependencies中增加该jar包的引用

implementation files('libs\\Delaunator_V1.0.jar')

app/build.gradle里面增加，再buildTypes增加，保证可以照到so文件，

    sourceSets {
        main {
            jniLibs.srcDirs = ['libs']//将so文件目录指向libs目录
        }
    }

(4)MainActivity里面添加实现，

import com.example.delaunator.Delaunator;

public class MainActivity extends AppCompatActivity {
    @Override
    protected void onCreate(Bundle savedInstanceState) {
        super.onCreate(savedInstanceState);
        setContentView(R.layout.activity_main);
        
        float[] vertex={(float)0.0, (float)0.0,(float)7, (float)1, (float)0,(float)7, (float)1, (float)1, (float)7, (float)0,(float)1, (float)7};
        int[] index = new Delaunator().delaunator(vertex);
        for (int i=0;i

(5)运行后，Logcat下面的输出可以看到结果，