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2026-09-07 19:33:37 +08:00
parent c945aa211f
commit c7b6c90ec9
20 changed files with 1029 additions and 0 deletions
@@ -0,0 +1,42 @@
+#include "c_Test.h"
+#include "c_FordFulkerson.h"
+
+TEST_CASE(test_ford_fulkerson_max_flow_and_min_cut) {
+    c_FlowNetwork_t network;
+    c_err_t err = c_FlowNetwork_Init(&network, 4, NULL);
+    ASSERT_INT_EQ(C_SUCCESS, err);
+
+    /* Construct a standard flow distribution diamond network layout:
+     * 0 -> 1 (Capacity: 2.0)
+     * 0 -> 2 (Capacity: 3.0)
+     * 1 -> 3 (Capacity: 1.0)
+     * 2 -> 3 (Capacity: 4.0)
+     * 1 -> 2 (Capacity: 2.0, Cross diagonal distribution balance)
+     */
+    c_FlowNetwork_AddEdge(&network, 0, 1, 2.0);
+    c_FlowNetwork_AddEdge(&network, 0, 2, 3.0);
+    c_FlowNetwork_AddEdge(&network, 1, 3, 1.0);
+    c_FlowNetwork_AddEdge(&network, 2, 3, 4.0);
+    c_FlowNetwork_AddEdge(&network, 1, 2, 2.0);
+
+    c_FordFulkerson_t ff;
+    err = c_FordFulkerson_Init(&ff, &network, 0, 3, &network.allocator);
+    ASSERT_INT_EQ(C_SUCCESS, err);
+
+    /* Max-flow bottleneck saturation calculation verification must equal exactly 4.0 */
+    ASSERT_DOUBLE_EQ_MSG(4.0, c_FordFulkerson_GetValue(&ff), "Maximum flow metric validation failed");
+
+    /* Min-Cut Verification: check side assignments */
+    ASSERT_TRUE(c_FordFulkerson_InCut(&ff, 0)); /* Source must be on source side of cut */
+    ASSERT_FALSE(c_FordFulkerson_InCut(&ff, 3)); /* Sink must be on sink side of cut */
+
+    c_FordFulkerson_Destroy(&ff);
+    c_FlowNetwork_Destroy(&network);
+}
+
+int main(void) {
+    TEST_START(FordFulkerson_MaxFlow_Suite);
+    RUN_TEST(test_ford_fulkerson_max_flow_and_min_cut);
+    TEST_REPORT();
+    RETURN_TEST_STATUS;
+}