diff --git a/CMakeLists.txt b/CMakeLists.txt
index 8c3a7fe..001d44f 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -7,6 +7,10 @@ include_directories(include)
 # 引入glm tinynurbs依赖
 include_directories(E:/CLib/tinynurbs/include E:/CLib/glm)
 
+find_package(QT NAMES Qt6 Qt5 REQUIRED COMPONENTS Widgets)
+find_package(Qt${QT_VERSION_MAJOR} REQUIRED COMPONENTS Widgets)
+
+
 add_executable(SingularityJudger main.cpp
         include/loop_detector.h src/loop_detector.cpp
         include/gauss_map.h src/gauss_map.cpp
@@ -14,3 +18,5 @@ add_executable(SingularityJudger main.cpp
         include/C2C4.h src/C2C4.cpp
         include/Range.h src/Range.cpp
         src/SingularityJudger.cpp include/SingularityJudger.h src/srf_mesh.cpp include/srf_mesh.h)
+
+target_link_libraries(SingularityJudger PRIVATE Qt${QT_VERSION_MAJOR}::Widgets)
\ No newline at end of file
diff --git a/include/SingularityJudger.h b/include/SingularityJudger.h
index aba42f6..3150068 100644
--- a/include/SingularityJudger.h
+++ b/include/SingularityJudger.h
@@ -22,9 +22,12 @@ public:
     RationalSurface<float> &srf2;
 
     // 关注mesh的采样网格中的哪个范围
-    // 假设mesh.sampleLevel = 5;
+    // 假设mesh.sampleLevel = 5, 则sampleRange 属于[0, 15];
     bool judge(pair<int, int> focusRange_u1, pair<int, int> focusRange_v1,
                pair<int, int> focusRange_u2, pair<int, int> focusRange_v2);
+    // 没有loop detection的版本
+    void judge2(pair<int, int> focusRange_u1, pair<int, int> focusRange_v1,
+               pair<int, int> focusRange_u2, pair<int, int> focusRange_v2);
 
     vector<vector<char>> judgeRes;
 
diff --git a/include/gauss_map.h b/include/gauss_map.h
index ab634d4..a5bd12b 100644
--- a/include/gauss_map.h
+++ b/include/gauss_map.h
@@ -21,7 +21,6 @@ struct GaussMapNode {
 class GaussMap {
 public:
     int maxLevel;
-    int leafSampleCnt;
     const std::vector<std::vector<glm::vec3>> & normals;
     tinynurbs::RationalSurface<float> srf;
     std::vector<GaussMapNode> tree;
diff --git a/include/loop_detector.h b/include/loop_detector.h
index 749c835..99e2c0c 100644
--- a/include/loop_detector.h
+++ b/include/loop_detector.h
@@ -11,11 +11,11 @@ public:
     LoopDetector(const vector<vector<glm::vec3>> &s_evaluation_, const vector<vector<glm::vec3>> &f_evaluation_,
                  const vector<vector<glm::vec3>> &s_tangent_u_, const vector<vector<glm::vec3>> &f_tangent_u_,
                  const vector<vector<glm::vec3>> &s_tangent_v_, const vector<vector<glm::vec3>> &f_tangent_v_,
-                 const vector<vector<glm::vec3>> &s_normal_, const vector<vector<glm::vec3>> &f_normal_);
+                 const vector<vector<glm::vec3>> &s_normal_, const vector<vector<glm::vec3>> &f_normal_,
+                 const tinynurbs::RationalSurface<float> &s_);
 
     // 两个曲面
-    tinynurbs::RationalSurface<float> s;
-    tinynurbs::RationalSurface<float> f;
+    const tinynurbs::RationalSurface<float> &s;
     // 细分采样的总层数（最高与BVH的总层数相等）。从第二层开始，每一层都表示把原来的一个小sub patch分成了更小的四份
     int maxSplitLayer;
 
@@ -60,11 +60,14 @@ public:
 
 private:
     // 整个曲面一条边上的采样点个数
-    int edgeSampleCnt;
 
 
     void initOrientedDistance();
 
+    // Yawei Ma的文章中的做法
+    void initVectorField0();
+
+    // G A Kriezis的文章中的做法
     void initVectorField();
 
     void getRotationNumber();
diff --git a/main.cpp b/main.cpp
index 2a72e40..304b91c 100644
--- a/main.cpp
+++ b/main.cpp
@@ -1,7 +1,12 @@
 #include <iostream>
 #include "SingularityJudger.h"
+#include "fstream"
+#include "QString"
+#include "QList"
+#include "QRegularExpression"
+#include "gauss_map.h"
 
-SrfMesh getMesh(const RationalSurface<float>& s, int sampleLevel){
+SrfMesh getMesh(const RationalSurface<float> &s, int sampleLevel) {
     SrfMesh res;
     res.sampleLevel = sampleLevel;
     res.sampleCntOnSingleDir = int(pow(2, sampleLevel - 1) + 1);
@@ -15,86 +20,193 @@ SrfMesh getMesh(const RationalSurface<float>& s, int sampleLevel){
     auto s_step_u = (*(s.knots_u.end() - 1) - s_first_u) / float(res.sampleCntOnSingleDir - 1);
     auto s_step_v = (*(s.knots_v.end() - 1) - s_first_v) / float(res.sampleCntOnSingleDir - 1);
 
-    for(int i = 0; i < res.sampleCntOnSingleDir; i++) {
+    for (int i = 0; i < res.sampleCntOnSingleDir; i++) {
         auto u = s_first_u + s_step_u * float(i);
-        for(int j = 0; j < res.sampleCntOnSingleDir; j++) {
+        for (int j = 0; j < res.sampleCntOnSingleDir; j++) {
             auto v = s_first_v + s_step_v * float(j);
             res.evaluation[i][j] = tinynurbs::surfacePoint(s, u, v);
             auto der = tinynurbs::surfaceDerivatives(s, 1, u, v);
             res.tangent_u[i][j] = der(1, 0);
             res.tangent_v[i][j] = der(0, 1);
-            res.normal[i][j] = glm::cross(res.tangent_u[i][j], res.tangent_v[i][j]);
+            res.normal[i][j] = glm::normalize(glm::cross(res.tangent_u[i][j], res.tangent_v[i][j]));
         }
     }
+    return res;
 }
 
+array2<glm::vec3> getPtsFromStr(QString srfData);
 
 int main() {
     RationalSurface<float> s;
     RationalSurface<float> f;
-    s.degree_u = 3;
-    s.degree_v = 3;
-    s.knots_u = {0, 0, 0, 0, 1, 1, 1, 1};
-    s.knots_v = {0, 0, 0, 0, 1, 1, 1, 1};
-    s.control_points = {4, 4, {
-            glm::vec3(0, 0.3, 0.9), glm::vec3(0, 0.6, 1), glm::vec3(0, 0.9, 1.1), glm::vec3(0, 1.2, 1),
-            glm::vec3(0.33, 0.3, 0.12), glm::vec3(0.33, 0.6, 0.12), glm::vec3(0.33, 0.9, 0.12),
-            glm::vec3(0.33, 1.2, 0.12),
-            glm::vec3(0.66, 0.3, 0.12), glm::vec3(0.66, 0.6, 0.12), glm::vec3(0.66, 0.9, 0.12),
-            glm::vec3(0.66, 1.2, 0.12),
-            glm::vec3(1, 0.3, 0.8), glm::vec3(1, 0.6, 1), glm::vec3(1, 0.9, 1.1), glm::vec3(1, 1.2, 1)
-    }};
-    s.weights = {4, 4,
-                 {
-                         1, 1, 1, 1,
-                         1, 1, 1, 1,
-                         1, 1, 1, 1,
-                         1, 1, 1, 1,
-                 }
-    };
-
-    f.degree_u = 3;
-    f.degree_v = 3;
-    f.knots_u = {0, 0, 0, 0, 1, 1, 1, 1};
-    f.knots_v = {0, 0, 0, 0, 1, 1, 1, 1};
-    f.control_points = {4, 4, {
-            glm::vec3(0, 0.2, 0.9), glm::vec3(0, 0.5, 1.8), glm::vec3(0, 0.8, 1.1), glm::vec3(0, 1.2, 1),
-            glm::vec3(0.33, 0.2, 0.12), glm::vec3(0.33, 0.5, 0.42), glm::vec3(0.33, 0.9, -0.62),
-            glm::vec3(0.33, 1.1, -1.756),
-            glm::vec3(0.66, 0.2, 0.12), glm::vec3(0.66, 0.5, 0.42), glm::vec3(0.66, 0.9, -0.62),
-            glm::vec3(0.66, 1.0, -1.756),
-            glm::vec3(1, 0.2, 0.8), glm::vec3(1, 0.5, 1), glm::vec3(1, 0.9, 1.1), glm::vec3(1, 1.2, 1)
-    }};
-    f.weights = {4, 4,
-                 {
-                         1, 1, 1, 1,
-                         1, 1, 1, 1,
-                         1, 1, 1, 1,
-                         1, 1, 1, 1,
-                 }
-    };
-
-    vector<vector<glm::vec3>> s_evaluation;
-    vector<vector<glm::vec3>> f_evaluation;
-    // 曲面s和f的切向量。
-    vector<vector<glm::vec3>> s_tangent_u;
-    vector<vector<glm::vec3>> s_tangent_v;
-    vector<vector<glm::vec3>> f_tangent_u;
-    const vector<vector<glm::vec3>> f_tangent_v;
+//    s.degree_u = 3;
+//    s.degree_v = 3;
+//    s.knots_u = {0, 0, 0, 0, 1, 1, 1, 1};
+//    s.knots_v = {0, 0, 0, 0, 1, 1, 1, 1};
+//    s.control_points = {4, 4, {
+//            glm::vec3(0, 0.3, 0.9), glm::vec3(0, 0.6, 1), glm::vec3(0, 0.9, 1.1), glm::vec3(0, 1.2, 1),
+//            glm::vec3(0.33, 0.3, 0.12), glm::vec3(0.33, 0.6, 0.12), glm::vec3(0.33, 0.9, 0.12),
+//            glm::vec3(0.33, 1.2, 0.12),
+//            glm::vec3(0.66, 0.3, 0.12), glm::vec3(0.66, 0.6, 0.12), glm::vec3(0.66, 0.9, 0.12),
+//            glm::vec3(0.66, 1.2, 0.12),
+//            glm::vec3(1, 0.3, 0.8), glm::vec3(1, 0.6, 1), glm::vec3(1, 0.9, 1.1), glm::vec3(1, 1.2, 1)
+//    }};
+//    s.weights = {4, 4,
+//                 {
+//                         1, 1, 1, 1,
+//                         1, 1, 1, 1,
+//                         1, 1, 1, 1,
+//                         1, 1, 1, 1,
+//                 }
+//    };
+//
+//    f.degree_u = 3;
+//    f.degree_v = 3;
+//    f.knots_u = {0, 0, 0, 0, 1, 1, 1, 1};
+//    f.knots_v = {0, 0, 0, 0, 1, 1, 1, 1};
+//    f.control_points = {4, 4, {
+//            glm::vec3(0, 0.2, 0.9), glm::vec3(0, 0.5, 1.8), glm::vec3(0, 0.8, 1.1), glm::vec3(0, 1.2, 1),
+//            glm::vec3(0.33, 0.2, 0.12), glm::vec3(0.33, 0.5, 0.42), glm::vec3(0.33, 0.9, -0.62),
+//            glm::vec3(0.33, 1.1, -1.756),
+//            glm::vec3(0.66, 0.2, 0.12), glm::vec3(0.66, 0.5, 0.42), glm::vec3(0.66, 0.9, -0.62),
+//            glm::vec3(0.66, 1.0, -1.756),
+//            glm::vec3(1, 0.2, 0.8), glm::vec3(1, 0.5, 1), glm::vec3(1, 0.9, 1.1), glm::vec3(1, 1.2, 1)
+//    }};
+//    f.weights = {4, 4,
+//                 {
+//                         1, 1, 1, 1,
+//                         1, 1, 1, 1,
+//                         1, 1, 1, 1,
+//                         1, 1, 1, 1,
+//                 }
+//    };
+
+    ifstream fin;
+    fin.open(R"(E:\qt\OpenGLDemo\surfacePlayer\assets\intersectTest\casea3\surfaces.txt)");
+
+    string str;
+    string tmp;
+    while (fin.good()) {
+        getline(fin, tmp);
+        str += tmp + "\n";
+    }
+    cout << str << endl;
+
+    auto infos = QString(str.c_str()).split(";");
+    auto wData = infos[0];
+    auto srf1Data = infos[1];
+    auto srf2Data = infos[2];
+
+    auto points1 = getPtsFromStr(srf1Data);
+    auto points2 = getPtsFromStr(srf2Data);
+
+    wData = wData.remove(0, wData.indexOf("Matrix") + 6).trimmed();
+    wData.remove(0, 3);
+    wData.remove(wData.size() - 3, 3);
+    auto wInfos = wData.split(QRegularExpression("\\]( )*,( )*\\["));
+
+    array2<float> weights;
+    vector<float> wArray(points1.cols() * points1.rows());
+    for (int i = 0; i < points1.cols(); i++) {
+        auto wsInV = wInfos[i].split(QRegularExpression("( )*,( )*"));
+        for (int j = 0; j < points1.rows(); j++) {
+            wArray[i * points1.rows() + j] = wsInV[j].toFloat();
+        }
+    }
+    weights = {points1.cols(), points2.rows(), wArray};
+
+    // knot
+    std::vector<float> knot_u(2 * points1.cols(), 1.);
+    for (int i = 0; i < knot_u.size() / 2; i++)knot_u[i] = 0;
+    std::vector<float> knot_v(2 * points1.rows(), 1.);
+    for (int i = 0; i < knot_v.size() / 2; i++)knot_v[i] = 0;
+
+    s.degree_u = knot_u.size() / 2 - 1;
+    s.degree_v = knot_v.size() / 2 - 1;
+    s.knots_u = knot_u;
+    s.knots_v = knot_v;
+    s.control_points = points1;
+    s.weights = weights;
+
+    f.degree_u = knot_u.size() / 2 - 1;
+    f.degree_v = knot_v.size() / 2 - 1;
+    f.knots_u = knot_u;
+    f.knots_v = knot_v;
+    f.control_points = points2;
+    f.weights = weights;
+
+    fin.close();
+
+    // ====================== 测试 =======================
+    vector <vector<glm::vec3>> s_evaluation;
+    vector <vector<glm::vec3>> f_evaluation;
+    // 曲面s和f的切向量。zd*-sznmj
+    vector <vector<glm::vec3>> s_tangent_v;
+    vector <vector<glm::vec3>> f_tangent_u;
+    const vector <vector<glm::vec3>> f_tangent_v;
     // 曲面s和f的法向量
-    const vector<vector<glm::vec3>> s_normal;
-    const vector<vector<glm::vec3>> f_normal;
+    const vector <vector<glm::vec3>> s_normal;
+    const vector <vector<glm::vec3>> f_normal;
 
-    auto mesh1 = getMesh(s, 7);
+    auto mesh1 = getMesh(s, 7); // [0, 63]
     auto mesh2 = getMesh(f, 7);
 
     SingularityJudger singularityJudger(s, f, mesh1, mesh2);
-    auto hasSingularity = singularityJudger.judge({2,7}, {4,12}, {3, 9}, {10, 16});
-    for(auto line: singularityJudger.judgeRes) {
-        for(auto el: line) {
-            cout<<el<<' ';
-        }
-        cout<<endl;
-    }
+//    auto hasSingularity = singularityJudger.judge({2,7}, {4,12}, {3, 9}, {10, 16});
+//    for(auto line: singularityJudger.judgeRes) {
+//        for(auto el: line) {
+//            cout<<el<<' ';
+//        }
+//        cout<<endl;
+//    }
+//    singularityJudger.judge({12, 48}, {12, 48}, {12, 48}, {12, 48});
+    singularityJudger.judge({0, 63}, {0, 63}, {0, 63}, {0, 63});
+
+    // ================== 测试对整个曲面，gauss能排除多少（或保留多少）==================
+    GaussMap gaussMap1(mesh1.normal);
+    GaussMap gaussMap2(mesh2.normal);
+    gaussMap1.build();
+    gaussMap2.build();
+    auto pairs = getOverlapLeafNodes(gaussMap1, gaussMap2);
+    printf("Gauss Map: keep %lld samples in totally %lld boxes\n", pairs.size(),
+           mesh1.normal.size() * mesh1.normal[0].size() * mesh2.normal.size() * mesh2.normal[0].size());
+
     return 0;
 }
+
+array2<glm::vec3> getPtsFromStr(QString srfData) {
+    srfData = srfData.remove(0, srfData.indexOf("Matrix") + 6).trimmed();
+    // 去掉首尾的括号
+    srfData.remove(0, 1);
+    srfData.remove(srfData.size() - 1, 1);
+    auto srfInfos = srfData.split("{");
+    auto srfDimInfos = srfInfos[0].split(QRegularExpression(",( )*"));
+    auto dimU = srfDimInfos[0].toInt();
+    auto dimV = srfDimInfos[1].toInt();
+    auto srfPtInfo = srfInfos[1].remove(srfInfos[1].indexOf("}"), 1);
+    auto srfPtsInfos = srfPtInfo.split(QRegularExpression(",( )*\\("));
+    std::vector<glm::vec3> points(dimU * dimV, glm::vec3());
+    for (int i = 0; i < srfPtsInfos.size(); i++) {
+        auto pt = srfPtsInfos[i].split("=")[1].trimmed();
+        // 去掉首尾的方括号
+        pt.remove(0, 1);
+        pt.remove(pt.size() - 1, 1);
+//        int iu = i / dimU;
+//        int iv = i % dimU;
+        auto coords = pt.split(QRegularExpression(",( )*"));
+        for (int k = 0; k < 3; k++) {
+            float num;
+            if (coords[k].contains("/")) {
+                auto nums = coords[k].split("/");
+                num = nums[0].trimmed().toFloat() / nums[1].trimmed().toFloat();
+            } else {
+                num = coords[k].toFloat();
+            }
+            if (k == 0) points[i].x = num;
+            else if (k == 1) points[i].y = num;
+            else points[i].z = num;
+        }
+    }
+    array2<glm::vec3> res = {(size_t) dimU, (size_t) dimV, points};
+    return res;
+}
\ No newline at end of file
diff --git a/src/C2C4.cpp b/src/C2C4.cpp
index e27849b..0aba64c 100644
--- a/src/C2C4.cpp
+++ b/src/C2C4.cpp
@@ -31,30 +31,30 @@ pair<bool, bool> C2C4::c2OrC4(int patchIdx_u1, int patchIdx_v1, int patchIdx_u2,
             if (i == 0 && j == 0) {
                 der1_u = mesh1.tangent_u[patchIdx_u1][patchIdx_v1];
                 der1_v = mesh1.tangent_v[patchIdx_u1][patchIdx_v1];
-                der2_u = mesh2.tangent_u[patchIdx_u2][patchIdx_v2];
-                der2_v = mesh2.tangent_v[patchIdx_u2][patchIdx_v2];
+                der2_u = -mesh2.tangent_u[patchIdx_u2][patchIdx_v2];
+                der2_v = -mesh2.tangent_v[patchIdx_u2][patchIdx_v2];
             } else if (i == 0 && j == reSampleCnt_v - 1) {
                 der1_u = mesh1.tangent_u[patchIdx_u1][patchIdx_v1 + 1];
                 der1_v = mesh1.tangent_v[patchIdx_u1][patchIdx_v1 + 1];
-                der2_u = mesh2.tangent_u[patchIdx_u2][patchIdx_v2 + 1];
-                der2_v = mesh2.tangent_v[patchIdx_u2][patchIdx_v2 + 1];
+                der2_u = -mesh2.tangent_u[patchIdx_u2][patchIdx_v2 + 1];
+                der2_v = -mesh2.tangent_v[patchIdx_u2][patchIdx_v2 + 1];
             } else if (i == reSampleCnt_u - 1 && j == 0) {
                 der1_u = mesh1.tangent_u[patchIdx_u1 + 1][patchIdx_v1];
                 der1_v = mesh1.tangent_v[patchIdx_u1 + 1][patchIdx_v1];
-                der2_u = mesh2.tangent_u[patchIdx_u2 + 1][patchIdx_v2];
-                der2_v = mesh2.tangent_v[patchIdx_u2 + 1][patchIdx_v2];
+                der2_u = -mesh2.tangent_u[patchIdx_u2 + 1][patchIdx_v2];
+                der2_v = -mesh2.tangent_v[patchIdx_u2 + 1][patchIdx_v2];
             } else if (i == reSampleCnt_u - 1 || j == reSampleCnt_v - 1) {
                 der1_u = mesh1.tangent_u[patchIdx_u1 + 1][patchIdx_v1 + 1];
                 der1_v = mesh1.tangent_v[patchIdx_u1 + 1][patchIdx_v1 + 1];
-                der2_u = mesh2.tangent_u[patchIdx_u2 + 1][patchIdx_v2 + 1];
-                der2_v = mesh2.tangent_v[patchIdx_u2 + 1][patchIdx_v2 + 1];
+                der2_u = -mesh2.tangent_u[patchIdx_u2 + 1][patchIdx_v2 + 1];
+                der2_v = -mesh2.tangent_v[patchIdx_u2 + 1][patchIdx_v2 + 1];
             } else {
                 float v1 = v1Base + j * patchEdge_v1 / (reSampleCnt_v - 1);
                 float v2 = v2Base + j * patchEdge_v2 / (reSampleCnt_v - 1);
                 auto der1 = tinynurbs::surfaceDerivatives(srf1, 1, u1, v1);
                 auto der2 = tinynurbs::surfaceDerivatives(srf2, 1, u2, v2);
-                der1_u = der1[2], der1_v = der1[1];
-                der2_u = -der2[2], der2_v = -der2[1];
+                der1_u = glm::normalize(der1(1, 0)), der1_v = glm::normalize(der1(0, 1));
+                der2_u = -glm::normalize(der2(1, 0)), der2_v = -glm::normalize(der2(0, 1));
             }
             jacobian[0][0].a = min(jacobian[0][0].a, der1_u.x), jacobian[0][0].b = max(jacobian[0][0].b, der1_u.x);
             jacobian[1][0].a = min(jacobian[1][0].a, der1_u.y), jacobian[1][0].b = max(jacobian[1][0].b, der1_u.y);
diff --git a/src/SingularityJudger.cpp b/src/SingularityJudger.cpp
index 0fcaf70..6c1e161 100644
--- a/src/SingularityJudger.cpp
+++ b/src/SingularityJudger.cpp
@@ -12,13 +12,15 @@ bool SingularityJudger::judge(pair<int, int> focusRange_u1, pair<int, int> focus
     // gauss map 只需要法向量信息，不需要evaluations
     GaussMap gaussMap1(mesh1.normal);
     GaussMap gaussMap2(mesh2.normal);
+    gaussMap1.build();
+    gaussMap2.build();
     if (!isGaussMapsOverlapped(gaussMap1, gaussMap2, focusRange_u1, focusRange_u2, focusRange_v1, focusRange_v2)) {
         // 一定没有交
         return false;
     }
     // TODO loop detection to retain patch pair that must have loop or singular intersection
     LoopDetector loopDetector(mesh1.evaluation, mesh2.evaluation, mesh1.tangent_u, mesh2.tangent_u, mesh1.tangent_v,
-                              mesh2.tangent_v, mesh1.normal, mesh2.normal);
+                              mesh2.tangent_v, mesh1.normal, mesh2.normal, srf1);
     loopDetector.detect(focusRange_u1, focusRange_v1, focusRange_u2, focusRange_v2);
     judgeRes = vector<vector<char>>(loopDetector.s_subPatchEdgeSampleCnt_u - 1,
                                     vector<char>(loopDetector.s_subPatchEdgeSampleCnt_v - 1, 0));
@@ -30,7 +32,7 @@ bool SingularityJudger::judge(pair<int, int> focusRange_u1, pair<int, int> focus
             if (loopDetector.rotationNumbers[i][j] != 0) {
 
                 hasLoop = true;
-
+                printf("(%d, %d) ", focusRange_u1.first + i, focusRange_v1.first + j);
                 // 非零，有loop
                 // 依次测试C2
                 auto accordPointOnF = loopDetector.selectedPointsIdx[i][j]; // 有向距离最短的，f曲面上的对应面片的坐标
@@ -39,6 +41,7 @@ bool SingularityJudger::judge(pair<int, int> focusRange_u1, pair<int, int> focus
                                 focusRange_v2.first + accordPointOnF.second).first) {
                     //C2
                     judgeRes[i][j] = -1;
+                    printf("singular point: s:(%d,%d), f:(%d,%d)\n", focusRange_u1.first + i, focusRange_v1.first + j, focusRange_u2.first + accordPointOnF.first, focusRange_v2.first + accordPointOnF.second);
                 } else judgeRes[i][j] = 1; // 圆环
             } else {
                 judgeRes[i][j] = 0; // 0表示啥也没有
@@ -50,4 +53,21 @@ bool SingularityJudger::judge(pair<int, int> focusRange_u1, pair<int, int> focus
 
 SingularityJudger::
 SingularityJudger(RationalSurface<float> &srf1_, RationalSurface<float> &srf2_, SrfMesh &mesh1_, SrfMesh &mesh2_)
-:srf1(srf1_), srf2(srf2_), mesh1(mesh1_), mesh2(mesh2_){}
+        : srf1(srf1_), srf2(srf2_), mesh1(mesh1_), mesh2(mesh2_) {}
+
+void SingularityJudger::judge2(pair<int, int> focusRange_u1, pair<int, int> focusRange_v1, pair<int, int> focusRange_u2,
+                               pair<int, int> focusRange_v2) {
+    GaussMap gaussMap1(mesh1.normal);
+    GaussMap gaussMap2(mesh2.normal);
+    gaussMap1.build();
+    gaussMap2.build();
+    printf("gauss map: %d\n",
+           isGaussMapsOverlapped(gaussMap1, gaussMap2, focusRange_u1, focusRange_u2, focusRange_v1, focusRange_v2));
+
+
+//    gaussMap1.printQuadTree();
+
+    C2C4 c2C4(mesh1, mesh2, srf1, srf2);
+    printf("c2c4: %d\n",
+           c2C4.c2OrC4(focusRange_u1.first, focusRange_v1.first, focusRange_u2.first, focusRange_v2.first).first);
+}
diff --git a/src/gauss_map.cpp b/src/gauss_map.cpp
index 0cfe199..17617e9 100644
--- a/src/gauss_map.cpp
+++ b/src/gauss_map.cpp
@@ -6,10 +6,8 @@
 
 #include <utility>
 
-
-GaussMap::GaussMap(const std::vector<std::vector<glm::vec3>> &normals_): normals(normals_) {
-    leafSampleCnt = int(normals_.size());
-    maxLevel = int(log2(leafSampleCnt - 1) + 1);
+GaussMap:: GaussMap(const std::vector<std::vector<glm::vec3>> &normals_): normals(normals_) {
+    maxLevel = int(log2(int(normals_.size()) - 1) + 1);
     tree.resize(int((pow(4, maxLevel) - 1)) / 3);
 }
 
@@ -18,8 +16,13 @@ void GaussMap::recursiveBuild(int level, int idx, int idx_u, int idx_v) {
     if (level == maxLevel) {
         // 叶子节点
         for (int i = 0; i < 2; i++)
-            for (int j = 0; j < 2; j++)
-                bound = Union(bound, normals[idx_u + i][idx_v + j]);
+            for (int j = 0; j < 2; j++){
+                auto normal = normals[idx_u + i][idx_v + j];
+//                printf("normal: (%f, %f, %f)\n", normal.x, normal.y, normal.z);
+                if(glm::dot(normal, glm::vec3(1,1,1)) < 0)normal = -normal;
+                bound = Union(bound, normal);
+            }
+
         tree[idx].nBound = bound;
         tree[idx].level = level;
         tree[idx].firstChild = -1;
diff --git a/src/loop_detector.cpp b/src/loop_detector.cpp
index d9a95aa..4ad5875 100644
--- a/src/loop_detector.cpp
+++ b/src/loop_detector.cpp
@@ -7,12 +7,12 @@ LoopDetector::
 LoopDetector(const vector<vector<glm::vec3>> &s_evaluation_, const vector<vector<glm::vec3>> &f_evaluation_,
              const vector<vector<glm::vec3>> &s_tangent_u_, const vector<vector<glm::vec3>> &f_tangent_u_,
              const vector<vector<glm::vec3>> &s_tangent_v_, const vector<vector<glm::vec3>> &f_tangent_v_,
-             const vector<vector<glm::vec3>> &s_normal_, const vector<vector<glm::vec3>> &f_normal_)
+             const vector<vector<glm::vec3>> &s_normal_, const vector<vector<glm::vec3>> &f_normal_,
+             const tinynurbs::RationalSurface<float> &s_)
         : s_evaluation(s_evaluation_), f_evaluation(f_evaluation_),
           s_tangent_u(s_tangent_u_), s_tangent_v(s_tangent_v_),
           f_tangent_u(f_tangent_u_), f_tangent_v(f_tangent_v_),
-          s_normal(s_normal_), f_normal(f_normal_) {
-}
+          s_normal(s_normal_), f_normal(f_normal_), s(s_) {}
 
 void LoopDetector::initOrientedDistance() {
 
@@ -47,7 +47,8 @@ void LoopDetector::initOrientedDistance() {
     }
 }
 
-void LoopDetector::initVectorField() {
+// Yawei Ma的文章中的做法
+void LoopDetector::initVectorField0() {
     vectorFields = vector<vector<glm::vec2>>(s_subPatchEdgeSampleCnt_u, vector<glm::vec2>(s_subPatchEdgeSampleCnt_v));
     for (int i = 0; i < s_subPatchEdgeSampleCnt_u; i++) {
         for (int j = 0; j < s_subPatchEdgeSampleCnt_v; j++) {
@@ -74,9 +75,10 @@ void LoopDetector::initVectorField() {
             auto u2 = glm::normalize(glm::cross(N, u1));
             // s，f曲面在两个方向上的偏导
             auto ps_pu = s_tangent_u[s_subPatchIdxRange_u.first + i][s_subPatchIdxRange_v.first + j]
-                    , ps_pv = s_tangent_v[s_subPatchIdxRange_u.first + i][s_subPatchIdxRange_v.first + j];
+            , ps_pv = s_tangent_v[s_subPatchIdxRange_u.first + i][s_subPatchIdxRange_v.first + j];
             auto pf_pp = f_tangent_u[f_subPatchIdxRange_u.first + fPointIdx.first]
-            [f_subPatchIdxRange_v.first + fPointIdx.second], pf_pq = f_tangent_v[f_subPatchIdxRange_u.first + fPointIdx.first]
+            [f_subPatchIdxRange_v.first + fPointIdx.second], pf_pq = f_tangent_v[f_subPatchIdxRange_u.first +
+                                                                                 fPointIdx.first]
             [f_subPatchIdxRange_v.first + fPointIdx.second];
             // 构造Aij矩阵，见<Detection of loops and singularities of surface intersections> APPENDIX (A7)
             auto inverseAij = glm::inverse(
@@ -96,31 +98,76 @@ void LoopDetector::initVectorField() {
     int b = 2;
 }
 
+// G A Kriezis的文章中的做法
+void LoopDetector::initVectorField() {
+    vectorFields = vector<vector<glm::vec2>>(s_subPatchEdgeSampleCnt_u, vector<glm::vec2>(s_subPatchEdgeSampleCnt_v));
+    for (int i = 0; i < s_subPatchEdgeSampleCnt_u; i++) {
+        for (int j = 0; j < s_subPatchEdgeSampleCnt_v; j++) {
+            auto fPtRelatedIdx = selectedPointsIdx[i][j];
+            auto n2 = f_normal[f_subPatchIdxRange_u.first + fPtRelatedIdx.first][f_subPatchIdxRange_v.first +
+                                                                                 fPtRelatedIdx.second];
+//            glm::vec3 n2(1.,0.,0.);
+            auto ps_pu = s_tangent_u[s_subPatchIdxRange_u.first + i][s_subPatchIdxRange_v.first + j];
+            auto ps_pv = s_tangent_v[s_subPatchIdxRange_u.first + i][s_subPatchIdxRange_v.first + j];
+            vectorFields[i][j] = glm::vec2(glm::dot(n2, ps_pu), glm::dot(n2, ps_pv));
+        }
+    }
+}
+
 void LoopDetector::getRotationNumber() {
+    // vectorFields的参数域是与s（第一个曲面）一致的
+    auto edgeSampleCnt = s_evaluation.size();
+    auto uParamCellSize = (*(s.knots_u.end() - 1) - *s.knots_u.begin()) / (float) edgeSampleCnt;
+    auto vParamCellSize = (*(s.knots_v.end() - 1) - *s.knots_v.begin()) / (float) edgeSampleCnt;
+    vector<vector<float>> pu_pt = {{0.,  1.},
+                                   {-1., 0.}};
+    vector<vector<float>> pv_pt = {{1., 0.},
+                                   {0., -1.}};
+    rotationNumbers = vector<vector<int>>(s_subPatchEdgeSampleCnt_u,
+                                                     vector<int>(s_subPatchEdgeSampleCnt_v));
+
     // 以小格子为单位遍历
     for (int i = 0; i < s_subPatchEdgeSampleCnt_u - 1; i++) {
         for (int j = 0; j < s_subPatchEdgeSampleCnt_v - 1; j++) {
-            auto rotationNumber = 0.;
-
+            vector<vector<float>> F(2, vector<float>(2));
+            vector<vector<float>> G(2, vector<float>(2));
             for (int biasI = 0; biasI < 2; biasI++) {
                 for (int biasJ = 0; biasJ < 2; biasJ++) {
-                    auto v = vectorFields[i + biasI][j + biasJ];
-                    rotationNumber += atan(double(v.x / v.y));
+                    auto idxI = i + biasI;
+                    auto idxJ = j + biasJ;
+                    auto v = vectorFields[idxI][idxJ];
+                    auto vSquareSum = v.x * v.x + v.y * v.y;
+                    auto pTheta_pChi = -v.y / vSquareSum;
+                    auto pTheta_pPhi = v.x / vSquareSum;
+//                    auto pChi_pu =
+//                            (vectorFields[idxI + 1][idxJ].x - vectorFields[idxI - 1][idxJ].x) / (2 * uParamCellSize);
+//                    auto pChi_pv =
+//                            (vectorFields[idxI][idxJ + 1].x - vectorFields[idxI][idxJ - 1].x) / (2 * vParamCellSize);
+                    glm::vec2 pV_pu;
+                    glm::vec2 pV_pv;
+                    if (idxI == 0)
+                        pV_pu = (vectorFields[idxI + 1][idxJ] - vectorFields[idxI][idxJ]) / uParamCellSize;
+                    else if (idxI == s_subPatchEdgeSampleCnt_u - 1)
+                        pV_pu = (vectorFields[idxI][idxJ] - vectorFields[idxI - 1][idxJ]) / uParamCellSize;
+                    else
+                        pV_pu = (vectorFields[idxI + 1][idxJ] - vectorFields[idxI - 1][idxJ]) / (2 * uParamCellSize);
+                    if (idxJ == 0)
+                        pV_pv = (vectorFields[idxI][idxJ + 1] - vectorFields[idxI][idxJ]) / vParamCellSize;
+                    else if (idxJ == s_subPatchEdgeSampleCnt_v - 1)
+                        pV_pv = (vectorFields[idxI][idxJ] - vectorFields[idxI][idxJ - 1]) / vParamCellSize;
+                    else
+                        pV_pv = (vectorFields[idxI][idxJ + 1] - vectorFields[idxI][idxJ - 1]) / (2 * vParamCellSize);
+                    F[biasI][biasJ] = pTheta_pChi * pV_pu.x + pTheta_pPhi * pV_pu.y;
+                    G[biasI][biasJ] = pTheta_pChi * pV_pv.x + pTheta_pPhi * pV_pv.y;
                 }
             }
-            auto v00 = vectorFields[i][j];
-            auto v01 = vectorFields[i][j + 1];
-            auto v11 = vectorFields[i + 1][j + 1];
-            auto v10 = vectorFields[i + 1][j];
-
-            rotationNumber = 2 * atan(double(v11.x / v11.y)) - 2 * atan(double(v00.x / v00.y));
-            rotationNumber /= (2 * PI);
-
-            rotationNumbers[i][j] = int(round(rotationNumber));
-
-            printf("rotationNumber: %lf\n", rotationNumber);
+            rotationNumbers[i][j] = int(
+                    round(((F[0][1] + F[1][1] - F[0][0] - F[1][0]) * uParamCellSize +
+                           (G[0][0] + G[0][1] - G[1][0] - G[1][1]) * vParamCellSize) / 2.));
         }
     }
+    int a = 3;
+    int b = 1;
 }
 
 vector<pair<int, int>> LoopDetector::detect(pair<int, int> _s_subPatchIdxRange_u, pair<int, int> _s_subPatchIdxRange_v,
@@ -143,3 +190,5 @@ vector<pair<int, int>> LoopDetector::detect(pair<int, int> _s_subPatchIdxRange_u
     return {};
 }
 
+
+
diff --git a/test.txt b/test.txt
new file mode 100644
index 0000000..af2f461
--- /dev/null
+++ b/test.txt
@@ -0,0 +1,3 @@
+123rrt
+uyttt8i8 fg ,,
+fds 546 lk
\ No newline at end of file