diff --git a/d2/d90/namespacegreedy__algorithms.html b/d2/d90/namespacegreedy__algorithms.html index c8cd8629b..0f431119f 100644 --- a/d2/d90/namespacegreedy__algorithms.html +++ b/d2/d90/namespacegreedy__algorithms.html @@ -125,19 +125,19 @@ Functions bool can_jump (const std::vector< int > &nums)  Checks whether the given element (default is 1) can jump to the last index.
  -template<typename T > -void findMinimumEdge (const int &infinity, const std::array< std::array< T, 6 >, 6 > &graph) - Finds the minimum edge of the given graph.
-  +template<typename T , std::size_t N, std::size_t M> +void findMinimumEdge (const T &infinity, const std::array< std::array< T, N >, M > &graph) + Finds the minimum edge of the given graph.

Detailed Description

for std::vector

-

for IO operations

+

for uint32_t

for assert for INT_MAX for IO operations

Greedy Algorithms

for assert for std::cout

Greedy Algorithms

-

for array

+

for array for IO operations for numeric limits

Greedy Algorithms

Function Documentation

@@ -183,23 +183,23 @@ Here is the call graph for this function: - -

◆ findMinimumEdge()

+ +

◆ findMinimumEdge()

-template<typename T >
+template<typename T , std::size_t N, std::size_t M>
- + - +
void greedy_algorithms::findMinimumEdge (const int & infinity, const T & infinity,
const std::array< std::array< T, 6 >, 6 > & graph )const std::array< std::array< T, N >, M > & graph )
@@ -213,20 +213,25 @@ template<typename T >
Returns
void
-
37 {
-
38 for (int i = 0; i < graph.size(); i++) {
-
39 int min = infinity;
-
40 int minIndex = 0;
-
41 for (int j = 0; j < graph.size(); j++) {
-
42 if (graph[i][j] != 0 && graph[i][j] < min) {
-
43 min = graph[i][j];
-
44 minIndex = j;
-
45 }
-
46 }
-
47 std::cout << i << " - " << minIndex << "\t" << graph[i][minIndex]
-
48 << "\n";
-
49 }
-
50}
+
39 {
+
40 if (N != M) {
+
41 std::cout << "\nWrong input passed. Provided array has dimensions " << N
+
42 << "x" << M << ". Please provide a square matrix.\n";
+
43 return;
+
44 }
+
45 for (int i = 0; i < graph.size(); i++) {
+
46 int min = infinity;
+
47 int minIndex = 0;
+
48 for (int j = 0; j < graph.size(); j++) {
+
49 if (i != j && graph[i][j] != 0 && graph[i][j] < min) {
+
50 min = graph[i][j];
+
51 minIndex = j;
+
52 }
+
53 }
+
54 std::cout << i << " - " << minIndex << "\t" << graph[i][minIndex]
+
55 << "\n";
+
56 }
+
57}
Graph Algorithms.
diff --git a/d2/d90/namespacegreedy__algorithms.js b/d2/d90/namespacegreedy__algorithms.js index 8127b22da..26286de02 100644 --- a/d2/d90/namespacegreedy__algorithms.js +++ b/d2/d90/namespacegreedy__algorithms.js @@ -2,5 +2,5 @@ var namespacegreedy__algorithms = [ [ "dijkstra", "d2/d2f/namespacegreedy__algorithms_1_1dijkstra.html", "d2/d2f/namespacegreedy__algorithms_1_1dijkstra" ], [ "can_jump", "d2/d90/namespacegreedy__algorithms.html#a33e3819aa9ffec0e380383c52603b502", null ], - [ "findMinimumEdge", "d2/d90/namespacegreedy__algorithms.html#a127ce4403660032f53ae2e6467e5427d", null ] + [ "findMinimumEdge", "d2/d90/namespacegreedy__algorithms.html#a349e4ab9a97532c3931a2bd2a19c0098", null ] ]; \ No newline at end of file diff --git a/d8/d7d/kruskals__minimum__spanning__tree_8cpp.html b/d8/d7d/kruskals__minimum__spanning__tree_8cpp.html index 766d9d9bc..329c58988 100644 --- a/d8/d7d/kruskals__minimum__spanning__tree_8cpp.html +++ b/d8/d7d/kruskals__minimum__spanning__tree_8cpp.html @@ -115,10 +115,12 @@ $(function(){initNavTree('d8/d7d/kruskals__minimum__spanning__tree_8cpp.html','. More...

#include <array>
#include <iostream>
+#include <limits>
+#include <cstdint>
Include dependency graph for kruskals_minimum_spanning_tree.cpp:
-
+

@@ -129,10 +131,13 @@ Namespaces

- - - - + + + + + + + @@ -160,26 +165,167 @@ Functions

Main function.

Returns
0 on exit
-
57 {
-
58 constexpr int INFINITY = 99999;
- -
60 0, 4, 1, 4, INFINITY, INFINITY,
-
61 4, 0, 3, 8, 3, INFINITY,
-
62 1, 3, 0, INFINITY, 1, INFINITY,
-
63 4, 8, INFINITY, 0, 5, 7,
-
64 INFINITY, 3, 1, 5, 0, INFINITY,
-
65 INFINITY, INFINITY, INFINITY, 7, INFINITY, 0};
-
66
- -
68 return 0;
-
69}
- -
Graph Algorithms.
-
void findMinimumEdge(const int &infinity, const std::array< std::array< T, 6 >, 6 > &graph)
Finds the minimum edge of the given graph.
Definition kruskals_minimum_spanning_tree.cpp:36
+
184 {
+
185 test(); // run Self-test implementation
+
186 return 0;
+
187}
+
static void test()
Self-test implementations.
Definition kruskals_minimum_spanning_tree.cpp:64
Here is the call graph for this function:
-
+
+
+ +
+ + +

◆ test()

+ +
+
+

Functions

template<typename T >
void greedy_algorithms::findMinimumEdge (const int &infinity, const std::array< std::array< T, 6 >, 6 > &graph)
 Finds the minimum edge of the given graph.
 
template<typename T , std::size_t N, std::size_t M>
void greedy_algorithms::findMinimumEdge (const T &infinity, const std::array< std::array< T, N >, M > &graph)
 Finds the minimum edge of the given graph.
 
static void test ()
 Self-test implementations.
 
int main ()
 Main function.
 
+ + + + +
+ + + + + + + +
static void test ()
+
+static
+
+ +

Self-test implementations.

+
Returns
void
+

define a large value for int define a large value for float define a large value for double define a large value for uint32_t

+
64 {
+
65 /**
+
66 * define a large value for int
+
67 * define a large value for float
+
68 * define a large value for double
+
69 * define a large value for uint32_t
+
70 */
+
71 constexpr int INFINITY_INT = std::numeric_limits<int>::max();
+
72 constexpr float INFINITY_FLOAT = std::numeric_limits<float>::max();
+
73 constexpr double INFINITY_DOUBLE = std::numeric_limits<double>::max();
+
74 constexpr uint32_t INFINITY_UINT32 = UINT32_MAX;
+
75
+
76 // Test case with integer values
+
77 std::cout << "\nTest Case 1 :\n";
+ +
79 0, 4, 1, 4, INFINITY_INT, INFINITY_INT,
+
80 4, 0, 3, 8, 3, INFINITY_INT,
+
81 1, 3, 0, INFINITY_INT, 1, INFINITY_INT,
+
82 4, 8, INFINITY_INT, 0, 5, 7,
+
83 INFINITY_INT, 3, 1, 5, 0, INFINITY_INT,
+
84 INFINITY_INT, INFINITY_INT, INFINITY_INT, 7, INFINITY_INT, 0};
+
85 greedy_algorithms::findMinimumEdge(INFINITY_INT, graph1);
+
86
+
87 // Test case with floating values
+
88 std::cout << "\nTest Case 2 :\n";
+ +
90 0.0f, 2.5f, INFINITY_FLOAT,
+
91 2.5f, 0.0f, 3.2f,
+
92 INFINITY_FLOAT, 3.2f, 0.0f};
+
93 greedy_algorithms::findMinimumEdge(INFINITY_FLOAT, graph2);
+
94
+
95 // Test case with double values
+
96 std::cout << "\nTest Case 3 :\n";
+ +
98 0.0, 10.5, INFINITY_DOUBLE, 6.7, 3.3,
+
99 10.5, 0.0, 8.1, 15.4, INFINITY_DOUBLE,
+
100 INFINITY_DOUBLE, 8.1, 0.0, INFINITY_DOUBLE, 7.8,
+
101 6.7, 15.4, INFINITY_DOUBLE, 0.0, 9.9,
+
102 3.3, INFINITY_DOUBLE, 7.8, 9.9, 0.0};
+
103 greedy_algorithms::findMinimumEdge(INFINITY_DOUBLE, graph3);
+
104
+
105 // Test Case with negative weights
+
106 std::cout << "\nTest Case 4 :\n";
+
107 std::array<std::array<int, 3>, 3> graph_neg{
+
108 0, -2, 4,
+
109 -2, 0, 3,
+
110 4, 3, 0};
+
111 greedy_algorithms::findMinimumEdge(INFINITY_INT, graph_neg);
+
112
+
113 // Test Case with Self-Loops
+
114 std::cout << "\nTest Case 5 :\n";
+
115 std::array<std::array<int, 3>, 3> graph_self_loop{
+
116 2, 1, INFINITY_INT,
+
117 INFINITY_INT, 0, 4,
+
118 INFINITY_INT, 4, 0};
+
119 greedy_algorithms::findMinimumEdge(INFINITY_INT, graph_self_loop);
+
120
+
121 // Test Case with no edges
+
122 std::cout << "\nTest Case 6 :\n";
+ +
124 0, INFINITY_INT, INFINITY_INT, INFINITY_INT,
+
125 INFINITY_INT, 0, INFINITY_INT, INFINITY_INT,
+
126 INFINITY_INT, INFINITY_INT, 0, INFINITY_INT,
+
127 INFINITY_INT, INFINITY_INT, INFINITY_INT, 0};
+
128 greedy_algorithms::findMinimumEdge(INFINITY_INT, no_edges);
+
129
+
130 // Test Case with a non-connected graph
+
131 std::cout << "\nTest Case 7:\n";
+
132 std::array<std::array<int, 4>, 4> partial_graph{
+
133 0, 2, INFINITY_INT, 6,
+
134 2, 0, 3, INFINITY_INT,
+
135 INFINITY_INT, 3, 0, 4,
+
136 6, INFINITY_INT, 4, 0};
+
137 greedy_algorithms::findMinimumEdge(INFINITY_INT, partial_graph);
+
138
+
139 // Test Case with Directed weighted graph. The Krushkal algorithm does not give
+
140 // optimal answer
+
141 std::cout << "\nTest Case 8:\n";
+
142 std::array<std::array<int, 4>, 4> directed_graph{
+
143 0, 3, 7, INFINITY_INT, // Vertex 0 has edges to Vertex 1 and Vertex 2
+
144 INFINITY_INT, 0, 2, 5, // Vertex 1 has edges to Vertex 2 and Vertex 3
+
145 INFINITY_INT, INFINITY_INT, 0, 1, // Vertex 2 has an edge to Vertex 3
+
146 INFINITY_INT, INFINITY_INT, INFINITY_INT, 0}; // Vertex 3 has no outgoing edges
+
147 greedy_algorithms::findMinimumEdge(INFINITY_INT, directed_graph);
+
148
+
149 // Test case with wrong input passed
+
150 std::cout << "\nTest Case 9:\n";
+ +
152 0, 5, 5, 5,
+
153 5, 0, 5, 5,
+
154 5, 5, 5, 5};
+
155 greedy_algorithms::findMinimumEdge(INFINITY_INT, graph9);
+
156
+
157 // Test case with all the same values between every edge
+
158 std::cout << "\nTest Case 10:\n";
+ +
160 0, 5, 5, 5, 5,
+
161 5, 0, 5, 5, 5,
+
162 5, 5, 0, 5, 5,
+
163 5, 5, 5, 0, 5,
+
164 5, 5, 5, 5, 0};
+
165 greedy_algorithms::findMinimumEdge(INFINITY_INT, graph10);
+
166
+
167 // Test Case with uint32_t values
+
168 std::cout << "\nTest Case 11 :\n";
+
169 std::array<std::array<uint32_t, 4>, 4> graph_uint32{
+
170 0, 5, INFINITY_UINT32, 9,
+
171 5, 0, 2, INFINITY_UINT32,
+
172 INFINITY_UINT32, 2, 0, 6,
+
173 9, INFINITY_UINT32, 6, 0};
+
174 greedy_algorithms::findMinimumEdge(INFINITY_UINT32, graph_uint32);
+
175
+
176 std::cout << "\nAll tests have successfully passed!\n";
+
177}
+ + +
T max(T... args)
+
void findMinimumEdge(const T &infinity, const std::array< std::array< T, N >, M > &graph)
Finds the minimum edge of the given graph.
Definition kruskals_minimum_spanning_tree.cpp:38
+
+Here is the call graph for this function:
+
+
diff --git a/d8/d7d/kruskals__minimum__spanning__tree_8cpp.js b/d8/d7d/kruskals__minimum__spanning__tree_8cpp.js index b10509fb3..662e1e232 100644 --- a/d8/d7d/kruskals__minimum__spanning__tree_8cpp.js +++ b/d8/d7d/kruskals__minimum__spanning__tree_8cpp.js @@ -1,5 +1,6 @@ var kruskals__minimum__spanning__tree_8cpp = [ - [ "findMinimumEdge", "d8/d7d/kruskals__minimum__spanning__tree_8cpp.html#a127ce4403660032f53ae2e6467e5427d", null ], - [ "main", "d8/d7d/kruskals__minimum__spanning__tree_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4", null ] + [ "findMinimumEdge", "d8/d7d/kruskals__minimum__spanning__tree_8cpp.html#a349e4ab9a97532c3931a2bd2a19c0098", null ], + [ "main", "d8/d7d/kruskals__minimum__spanning__tree_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4", null ], + [ "test", "d8/d7d/kruskals__minimum__spanning__tree_8cpp.html#aa8dca7b867074164d5f45b0f3851269d", null ] ]; \ No newline at end of file diff --git a/d8/d7d/kruskals__minimum__spanning__tree_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.map b/d8/d7d/kruskals__minimum__spanning__tree_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.map new file mode 100644 index 000000000..5ecbd6dc0 --- /dev/null +++ b/d8/d7d/kruskals__minimum__spanning__tree_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.map @@ -0,0 +1,7 @@ + + + + + + + diff --git a/d8/d7d/kruskals__minimum__spanning__tree_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.md5 b/d8/d7d/kruskals__minimum__spanning__tree_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.md5 new file mode 100644 index 000000000..14d19066b --- /dev/null +++ b/d8/d7d/kruskals__minimum__spanning__tree_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.md5 @@ -0,0 +1 @@ +0b48f8523e7ef0e20c0494ac07eac7ff \ No newline at end of file diff --git a/d8/d7d/kruskals__minimum__spanning__tree_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg b/d8/d7d/kruskals__minimum__spanning__tree_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg new file mode 100644 index 000000000..94cbe74a5 --- /dev/null +++ b/d8/d7d/kruskals__minimum__spanning__tree_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg @@ -0,0 +1,84 @@ + + + + + + + + + + + + +test + + +Node1 + + +test + + + + + +Node2 + + +greedy_algorithms:: +findMinimumEdge + + + + + +Node1->Node2 + + + + + + + + +Node3 + + +std::numeric_limits::max + + + + + +Node1->Node3 + + + + + + + + + + + + + diff --git a/d8/d7d/kruskals__minimum__spanning__tree_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph_org.svg b/d8/d7d/kruskals__minimum__spanning__tree_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph_org.svg new file mode 100644 index 000000000..4f5935e69 --- /dev/null +++ b/d8/d7d/kruskals__minimum__spanning__tree_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph_org.svg @@ -0,0 +1,58 @@ + + + + + + +test + + +Node1 + + +test + + + + + +Node2 + + +greedy_algorithms:: +findMinimumEdge + + + + + +Node1->Node2 + + + + + + + + +Node3 + + +std::numeric_limits::max + + + + + +Node1->Node3 + + + + + + + + diff --git a/d8/d7d/kruskals__minimum__spanning__tree_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map b/d8/d7d/kruskals__minimum__spanning__tree_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map index 89d358e02..39602a91c 100644 --- a/d8/d7d/kruskals__minimum__spanning__tree_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map +++ b/d8/d7d/kruskals__minimum__spanning__tree_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map @@ -1,5 +1,9 @@ - - - + + + + + + + diff --git a/d8/d7d/kruskals__minimum__spanning__tree_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 b/d8/d7d/kruskals__minimum__spanning__tree_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 index 2c730e20b..ac79134c3 100644 --- a/d8/d7d/kruskals__minimum__spanning__tree_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 +++ b/d8/d7d/kruskals__minimum__spanning__tree_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 @@ -1 +1 @@ -e559ad5213eded0387c51a80dd5d5a2c \ No newline at end of file +44496dfb9d279bfd79c2badbf1ee48f4 \ No newline at end of file diff --git a/d8/d7d/kruskals__minimum__spanning__tree_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg b/d8/d7d/kruskals__minimum__spanning__tree_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg index 7cdf5ea66..77f1e3633 100644 --- a/d8/d7d/kruskals__minimum__spanning__tree_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg +++ b/d8/d7d/kruskals__minimum__spanning__tree_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg @@ -4,8 +4,8 @@ - + @@ -17,24 +17,23 @@ ]]> - + main Node1 - -main + +main Node2 - - -greedy_algorithms:: -findMinimumEdge + + +test @@ -42,8 +41,45 @@ Node1->Node2 - - + + + + + + + +Node3 + + +greedy_algorithms:: +findMinimumEdge + + + + + +Node2->Node3 + + + + + + + + +Node4 + + +std::numeric_limits::max + + + + + +Node2->Node4 + + + diff --git a/d8/d7d/kruskals__minimum__spanning__tree_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph_org.svg b/d8/d7d/kruskals__minimum__spanning__tree_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph_org.svg index 7ef39c7dd..ee7f65e01 100644 --- a/d8/d7d/kruskals__minimum__spanning__tree_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph_org.svg +++ b/d8/d7d/kruskals__minimum__spanning__tree_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph_org.svg @@ -4,26 +4,25 @@ - - + + main Node1 - -main + +main Node2 - - -greedy_algorithms:: -findMinimumEdge + + +test @@ -31,8 +30,45 @@ Node1->Node2 - - + + + + + + + +Node3 + + +greedy_algorithms:: +findMinimumEdge + + + + + +Node2->Node3 + + + + + + + + +Node4 + + +std::numeric_limits::max + + + + + +Node2->Node4 + + + diff --git a/df/d2b/kruskals__minimum__spanning__tree_8cpp__incl.map b/df/d2b/kruskals__minimum__spanning__tree_8cpp__incl.map index 0085b6636..b439ca028 100644 --- a/df/d2b/kruskals__minimum__spanning__tree_8cpp__incl.map +++ b/df/d2b/kruskals__minimum__spanning__tree_8cpp__incl.map @@ -1,7 +1,11 @@ - - - - - + + + + + + + + + diff --git a/df/d2b/kruskals__minimum__spanning__tree_8cpp__incl.md5 b/df/d2b/kruskals__minimum__spanning__tree_8cpp__incl.md5 index 87774ddb0..dd167c4ee 100644 --- a/df/d2b/kruskals__minimum__spanning__tree_8cpp__incl.md5 +++ b/df/d2b/kruskals__minimum__spanning__tree_8cpp__incl.md5 @@ -1 +1 @@ -68a97a0bb478e42de426b4b2bbfcef2a \ No newline at end of file +a32e0fa6af6218b64925c386895517d6 \ No newline at end of file diff --git a/df/d2b/kruskals__minimum__spanning__tree_8cpp__incl.svg b/df/d2b/kruskals__minimum__spanning__tree_8cpp__incl.svg index f4ef37de5..c0a095b0b 100644 --- a/df/d2b/kruskals__minimum__spanning__tree_8cpp__incl.svg +++ b/df/d2b/kruskals__minimum__spanning__tree_8cpp__incl.svg @@ -4,8 +4,8 @@ - + @@ -23,9 +23,9 @@ Node1 - -greedy_algorithms/kruskals -_minimum_spanning_tree.cpp + +greedy_algorithms/kruskals +_minimum_spanning_tree.cpp @@ -33,8 +33,8 @@ Node2 - -array + +array @@ -42,8 +42,8 @@ Node1->Node2 - - + + @@ -51,8 +51,8 @@ Node3 - -iostream + +iostream @@ -60,8 +60,44 @@ Node1->Node3 - - + + + + + + + +Node4 + + +limits + + + + + +Node1->Node4 + + + + + + + + +Node5 + + +cstdint + + + + + +Node1->Node5 + + + diff --git a/df/d2b/kruskals__minimum__spanning__tree_8cpp__incl_org.svg b/df/d2b/kruskals__minimum__spanning__tree_8cpp__incl_org.svg index 6b5b157a8..836f1474e 100644 --- a/df/d2b/kruskals__minimum__spanning__tree_8cpp__incl_org.svg +++ b/df/d2b/kruskals__minimum__spanning__tree_8cpp__incl_org.svg @@ -4,17 +4,17 @@ - + greedy_algorithms/kruskals_minimum_spanning_tree.cpp Node1 - -greedy_algorithms/kruskals -_minimum_spanning_tree.cpp + +greedy_algorithms/kruskals +_minimum_spanning_tree.cpp @@ -22,8 +22,8 @@ Node2 - -array + +array @@ -31,8 +31,8 @@ Node1->Node2 - - + + @@ -40,8 +40,8 @@ Node3 - -iostream + +iostream @@ -49,8 +49,44 @@ Node1->Node3 - - + + + + + + + +Node4 + + +limits + + + + + +Node1->Node4 + + + + + + + + +Node5 + + +cstdint + + + + + +Node1->Node5 + + + diff --git a/doxygen_crawl.html b/doxygen_crawl.html index ab5365338..c2f353b08 100644 --- a/doxygen_crawl.html +++ b/doxygen_crawl.html @@ -1358,8 +1358,8 @@ - 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- t -

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