From 2087ce1adb5f95104b3563ee95dc5e193d811bc9 Mon Sep 17 00:00:00 2001 From: yi <978950325@qq.com> Date: Tue, 5 Dec 2023 09:47:39 +0800 Subject: [PATCH 1/3] =?UTF-8?q?graph.cpp=E4=B8=AD=E5=A2=9E=E5=8A=A0?= =?UTF-8?q?=E4=BA=86dijkstra=E7=AE=97=E6=B3=95?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ...mpus_tour_guide_consulting_system.pro.user | 5 +- Campus_tour_guide_consulting_system/graph.cpp | 60 ++++++++++++++++++ Campus_tour_guide_consulting_system/graph.h | 9 ++- Campus_tour_guide_consulting_system/main.cpp | 2 +- .../Campus_tour_guide_consulting_system.exe | Bin 2537845 -> 2590933 bytes .../debug/graph.o | Bin 14716 -> 14716 bytes .../debug/main.o | Bin 961275 -> 1039458 bytes 7 files changed, 73 insertions(+), 3 deletions(-) diff --git a/Campus_tour_guide_consulting_system/Campus_tour_guide_consulting_system.pro.user b/Campus_tour_guide_consulting_system/Campus_tour_guide_consulting_system.pro.user index eb76c60..e8a0e35 100644 --- a/Campus_tour_guide_consulting_system/Campus_tour_guide_consulting_system.pro.user +++ b/Campus_tour_guide_consulting_system/Campus_tour_guide_consulting_system.pro.user @@ -1,6 +1,6 @@ - + EnvironmentId @@ -81,6 +81,9 @@ true + + true + diff --git a/Campus_tour_guide_consulting_system/graph.cpp b/Campus_tour_guide_consulting_system/graph.cpp index ae51b01..3b17064 100644 --- a/Campus_tour_guide_consulting_system/graph.cpp +++ b/Campus_tour_guide_consulting_system/graph.cpp @@ -34,3 +34,63 @@ void graph::removeEdge(int src, int dest) { } + + +//dijkstra算法 +// Dijkstra 算法计算给定图中从起始顶点 src 到每个顶点的最短路径长度 +//其中,distances 是一个 vector,用于存储每个顶点的最短路径长度 +//算法首先初始化 distances 数组,并创建一个优先队列 pq 存储顶点和最短路径长度的 pair。 +//在每次循环中,从优先队列中取出最短路径长度最小的顶点 u,然后遍历其邻接顶点 v +//如果通过顶点 u 可以获得到顶点 v 更短的路径,则更新 distances[v] 为新的路径长度 +//并将 v 和其最短路径长度加入优先队列 pq +//最终,当优先队列为空时,算法结束,distances 中存储的就是从起始顶点 src 到其他每个顶点的最短路径长度。 +template +void graph::dijkstra(int src, vector& distances)//起始顶点,最短路径长度 +{ + // 记录顶点的最短路径长度 + //设置 distances 向量的大小为 numVertices,并用 numeric_limits::max() 初始化所有元素的值。这是为了存储每个顶点的最短路径长度。 + distances.resize(numVertices, numeric_limits::max());//获取当前T类型最大值(这里为了严谨不使用一个大数) + + //第一个顶点开销 0 + distances[src] = 0; + + + //创建队列 + //存储顶点和最短路径长度的 pair + //创建一个优先队列 pq + //greater> 用于比较 pair 的大小。 + //priority_queue: priority_queue 是一个 STL(标准模板库)中提供的容器适配器 + //以一种特定的方式组织元素,使得可以通过特定的规则定位最值元素。这里使用优先队列来存储顶点和最短路径长度的 pair。(方便快速查找) + //这里使用 pair 作为元素类型 + //vector>: 这是 priority_queue 内部使用的底层容器类型,用于存储元素。在这里,我们选择使用 vector 作为底层容器 + //根据给定的比较器 greater 来组织元素的优先级 + priority_queue, vector>, greater>> pq; + + //将起始顶点 src 和其最短路径长度(初始为 0)加入优先队列 pq。这表示从起始顶点开始的最短路径。 + //make_pair 是一个辅助函数模板,用于创建一个 pair 对象。允许我们以更简洁的方式创建一个 pair 对象,并自动推导出 pair 中成员的类型。 + //(由于使用的是类模板,这样可以更方便)(你可以理解为pair中创建了一个0, src) + //可以帮助我们避免显式指定 pair 的模板参数类型,编译器会根据传递给 make_pair 的参数自动推导出正确的类型。 + pq.push(make_pair(0, src)); + + while (!pq.empty())//当优先队列 pq 不为空时(说明没有结束),继续执行循环。循环的目的是通过不断更新路径来寻找最短路径(比较)。 + { + int u = pq.top().second; // 获取优先队列中路径长度最小的顶点 u,这里使用 .second 来获取顶点索引。(注意优先队列里面的值是有序的) + pq.pop();//移除路径长度最小的顶点。 + + // 遍历 u 的邻接顶点 + for (int v = 0; v < numVertices; v++) { + if (adjacencyMatrix[u][v] != 0) { // u 和 v 之间有边 + T weight = adjacencyMatrix[u][v]; + + T newDistance = distances[u] + weight;//加入中转后比较 + + if (newDistance < distances[v]) { + distances[v] = newDistance; // 更新最短路径长度 + + // 将 v 和其最短路径长度加入优先队列中 + pq.push(make_pair(newDistance, v)); + } + } + } + } +} diff --git a/Campus_tour_guide_consulting_system/graph.h b/Campus_tour_guide_consulting_system/graph.h index e7fadff..78965a1 100644 --- a/Campus_tour_guide_consulting_system/graph.h +++ b/Campus_tour_guide_consulting_system/graph.h @@ -4,6 +4,13 @@ #include #include +#include +//注: 是 C++ 标准库中的头文件,提供了各种与类型的极限值相关的常量和函数 +//该头文件中定义了各种模板,用于获取不同类型的极限值,例如整数类型的最大值和最小值、浮点数类型的最大值和最小值、字符类型的最大值和最小值等。(方便处理) +#include + + + using namespace std; @@ -44,7 +51,7 @@ public: void removeEdge(int src, int dest) ; - + void dijkstra(int src, vector& distances);//起始顶点,最短路径长度 void print(){ diff --git a/Campus_tour_guide_consulting_system/main.cpp b/Campus_tour_guide_consulting_system/main.cpp index 4aa4ffe..559b8c6 100644 --- a/Campus_tour_guide_consulting_system/main.cpp +++ b/Campus_tour_guide_consulting_system/main.cpp @@ -3,7 +3,7 @@ #include"graph.h" #include"graph.cpp" - +#include #include diff --git a/build-Campus_tour_guide_consulting_system-Desktop_Qt_6_5_0_MinGW_64_bit-Debug/debug/Campus_tour_guide_consulting_system.exe b/build-Campus_tour_guide_consulting_system-Desktop_Qt_6_5_0_MinGW_64_bit-Debug/debug/Campus_tour_guide_consulting_system.exe index ea339186b977222c98384dae4360dda4a6b75c9c..0751438d7b5d73fa333fdfceb43a6e982cfa2acc 100644 GIT binary patch delta 607152 zcmce<3tW`d_BZ~_1Eb6g$S4=NGs;y(1Vu$rLj@fbaJ=6I;9saXfJ(oP-Ybh>D%(d{&*6~EZ*js5PB-F4+fQem`o(qEF=rC7-z%Q4b@k|de7KQcs@6eCGJ zBq{dw?H`Pc&eKcrQAklgM!j^dkIDd>^^(Q0Z*_Fv?Ma^6rYkxretSQ^9%03LsYJWI zU&t^V77XBVZI*d=gHg6q$Ectq+@Rc?1QOY{gCVd{%aEr<#N#sa&1(j{rakYPzY zrsW9;v?2Wva2#9j5i(Lc4JmebH4FG@APr5l0sy zY=OaxfqT2Q3>-muQ74StnoD$SjLz&ts7D; 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zt%0U)z@@Nzm@BJ3pQvY~ubujYNvi;>D)9H)9f}fbO!pD@lBll$djREkG#^`6x9a6; zwwPDz$$oXVI#bg zcOICmC;qOlRntTo>L1w9YHDsHe`Fx;+9_Ns}hjcQ&aZ)h#RsKYxB=HOs4 nRUcruo}VpNu*bZrx3*!2!&E~2J5-!uwAHcKgATCvgdy~o0vn1m -- Gitee From d9778da135733195d8213ce40c84fbbf60cd53ee Mon Sep 17 00:00:00 2001 From: TuLudong <717520742@qq.com> Date: Tue, 5 Dec 2023 02:05:38 +0000 Subject: [PATCH 2/3] =?UTF-8?q?=E5=88=A0=E9=99=A4=E6=96=87=E4=BB=B6=20Camp?= =?UTF-8?q?us=5Ftour=5Fguide=5Fconsulting=5Fsystem/Campus=5Ftour=5Fguide?= =?UTF-8?q?=5Fconsulting=5Fsystem.pro.user?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ...mpus_tour_guide_consulting_system.pro.user | 266 ------------------ 1 file changed, 266 deletions(-) delete mode 100644 Campus_tour_guide_consulting_system/Campus_tour_guide_consulting_system.pro.user diff --git a/Campus_tour_guide_consulting_system/Campus_tour_guide_consulting_system.pro.user b/Campus_tour_guide_consulting_system/Campus_tour_guide_consulting_system.pro.user deleted file mode 100644 index e8a0e35..0000000 --- a/Campus_tour_guide_consulting_system/Campus_tour_guide_consulting_system.pro.user +++ /dev/null @@ -1,266 +0,0 @@ - - - - - - EnvironmentId - {ab3a0fcf-0d41-4867-8b1c-a28be30621f0} - - - ProjectExplorer.Project.ActiveTarget - 0 - - - ProjectExplorer.Project.EditorSettings - - true - false - true - - Cpp - - CppGlobal - - - - QmlJS - - QmlJSGlobal - - - 2 - UTF-8 - false - 4 - false - 80 - true - true - 1 - false - true - false - 0 - true - true - 0 - 8 - true - false - 1 - true - true - true - *.md, *.MD, Makefile - false - true - true - - - - ProjectExplorer.Project.PluginSettings - - - true - false - true - true - true - true - - - 0 - true - - true - true - Builtin.DefaultTidyAndClazy - 8 - - - - true - - - true - - - - - ProjectExplorer.Project.Target.0 - - Desktop - Desktop Qt 6.5.0 MinGW 64-bit - Desktop Qt 6.5.0 MinGW 64-bit - qt.qt6.650.win64_mingw_kit - 0 - 0 - 0 - - 0 - E:\ctgcs2\build-Campus_tour_guide_consulting_system-Desktop_Qt_6_5_0_MinGW_64_bit-Debug - E:/ctgcs2/build-Campus_tour_guide_consulting_system-Desktop_Qt_6_5_0_MinGW_64_bit-Debug - - - true - QtProjectManager.QMakeBuildStep - false - - - - true - Qt4ProjectManager.MakeStep - - 2 - 构建 - 构建 - ProjectExplorer.BuildSteps.Build - - - - true - Qt4ProjectManager.MakeStep - clean - - 1 - 清除 - 清除 - ProjectExplorer.BuildSteps.Clean - - 2 - false - - false - - Debug - Qt4ProjectManager.Qt4BuildConfiguration - 2 - - - E:\ctgcs2\build-Campus_tour_guide_consulting_system-Desktop_Qt_6_5_0_MinGW_64_bit-Release - E:/ctgcs2/build-Campus_tour_guide_consulting_system-Desktop_Qt_6_5_0_MinGW_64_bit-Release - - - true - QtProjectManager.QMakeBuildStep - false - - - - true - Qt4ProjectManager.MakeStep - - 2 - 构建 - 构建 - ProjectExplorer.BuildSteps.Build - - - - true - Qt4ProjectManager.MakeStep - clean - - 1 - 清除 - 清除 - ProjectExplorer.BuildSteps.Clean - - 2 - false 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false - true - E:/ctgcs2/build-Campus_tour_guide_consulting_system-Desktop_Qt_6_5_0_MinGW_64_bit-Debug - - 1 - - - - ProjectExplorer.Project.TargetCount - 1 - - - ProjectExplorer.Project.Updater.FileVersion - 22 - - - Version - 22 - - -- Gitee From d78066a25bfbd63c612e8b604be3b5482e502a8a Mon Sep 17 00:00:00 2001 From: TuLudong <717520742@qq.com> Date: Tue, 5 Dec 2023 02:25:25 +0000 Subject: [PATCH 3/3] =?UTF-8?q?update=20Campus=5Ftour=5Fguide=5Fconsulting?= =?UTF-8?q?=5Fsystem/graph.cpp.=20=E5=86=8D=E8=A1=A5=E5=85=85=E4=BA=86?= =?UTF-8?q?=E4=B8=80=E7=82=B9=E6=B3=A8=E9=87=8A=EF=BC=8C=E8=B0=83=E6=95=B4?= =?UTF-8?q?=E4=BA=86=E6=B3=A8=E9=87=8A=E9=A1=BA=E5=BA=8F?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Signed-off-by: TuLudong <717520742@qq.com> --- Campus_tour_guide_consulting_system/graph.cpp | 9 +++++---- 1 file changed, 5 insertions(+), 4 deletions(-) diff --git a/Campus_tour_guide_consulting_system/graph.cpp b/Campus_tour_guide_consulting_system/graph.cpp index 3b17064..e994af3 100644 --- a/Campus_tour_guide_consulting_system/graph.cpp +++ b/Campus_tour_guide_consulting_system/graph.cpp @@ -58,11 +58,12 @@ void graph::dijkstra(int src, vector& distances)//起始顶点,最短路 //创建队列 //存储顶点和最短路径长度的 pair //创建一个优先队列 pq - //greater> 用于比较 pair 的大小。 - //priority_queue: priority_queue 是一个 STL(标准模板库)中提供的容器适配器 + //priority_queue: priority_queue 是一个 STL(标准模板库)中提供的容器适配器。 + //priority_queue 是一个模板类,它用于实现一个优先队列。在这个队列中,元素按照一定的优先级顺序出队,队列中的元素是通过比较其关联的值来确定优先级的。 //以一种特定的方式组织元素,使得可以通过特定的规则定位最值元素。这里使用优先队列来存储顶点和最短路径长度的 pair。(方便快速查找) - //这里使用 pair 作为元素类型 + //这里使用 pair 作为元素类型 [把地图节点T类型和最短路径长度int类型组合成新数据类型] //vector>: 这是 priority_queue 内部使用的底层容器类型,用于存储元素。在这里,我们选择使用 vector 作为底层容器 + //greater> 用于比较 pair 的大小。 [较大int值的pair会被优先出队] //根据给定的比较器 greater 来组织元素的优先级 priority_queue, vector>, greater>> pq; @@ -74,7 +75,7 @@ void graph::dijkstra(int src, vector& distances)//起始顶点,最短路 while (!pq.empty())//当优先队列 pq 不为空时(说明没有结束),继续执行循环。循环的目的是通过不断更新路径来寻找最短路径(比较)。 { - int u = pq.top().second; // 获取优先队列中路径长度最小的顶点 u,这里使用 .second 来获取顶点索引。(注意优先队列里面的值是有序的) + int u = pq.top().second; // 获取优先队列中路径长度最小的顶点 u,这里使用 .second 来获取顶点索引[pair里面的int]。(注意优先队列里面的值是有序的) pq.pop();//移除路径长度最小的顶点。 // 遍历 u 的邻接顶点 -- Gitee