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Questions and Answers
What is the purpose of the function allocate2DArray?
What is the purpose of the function allocate2DArray?
- To read elements into a 2D array
- To display a 2D array
- To dynamically allocate a 2D array (correct)
- To free the memory allocated for a 2D array
What type of data structure is used to represent the sparse matrix in the provided content?
What type of data structure is used to represent the sparse matrix in the provided content?
- Triplet array (correct)
- Adjacency matrix
- Hash table
- Linked list
How does the function readSparseMatrix determine the number of non-zero elements in the matrix?
How does the function readSparseMatrix determine the number of non-zero elements in the matrix?
- By calculating the size of the triplet array
- By using a specific input format to classify entries
- By keeping track of elements that are not equal to zero (correct)
- By counting the total number of entries during input
What is the structure of the 'triplet' type used in the code?
What is the structure of the 'triplet' type used in the code?
What happens when free2DArray is called?
What happens when free2DArray is called?
What is the purpose of the 'triplet' structure in the code?
What is the purpose of the 'triplet' structure in the code?
What happens when the user selects option 2 from the menu?
What happens when the user selects option 2 from the menu?
What should the user do before using the fast transpose algorithm?
What should the user do before using the fast transpose algorithm?
Which function is responsible for freeing the dynamically allocated 2D array?
Which function is responsible for freeing the dynamically allocated 2D array?
What will happen if the user tries to read a sparse matrix without allocating the array first?
What will happen if the user tries to read a sparse matrix without allocating the array first?
Which of the following functions is called to display the sparse matrix?
Which of the following functions is called to display the sparse matrix?
What does the exit option (5) in the menu do?
What does the exit option (5) in the menu do?
What does the 'fastTranspose' function accomplish?
What does the 'fastTranspose' function accomplish?
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Study Notes
Sparse Matrix Representation in C
- Sparse matrices are represented using a triplet structure, consisting of row, column, and value to efficiently store non-zero elements.
- MAX_TERMS is defined as 100, indicating the maximum number of non-zero entries that can be handled.
Data Structuring
- The triplet struct keeps information for each non-zero matrix entry:
- row: Indicates the row index of the non-zero value.
- col: Indicates the column index of the non-zero value.
- value: The actual non-zero value from the matrix.
Functionality Overview
- Dynamic Memory Allocation: A function to allocate a 2D array for the matrix dynamically, enhancing memory management.
- Sparse Matrix Input: A function to read the matrix elements, populating the triplet array with non-zero values.
- Fast Transpose Algorithm: A function to compute the transpose of the sparse matrix efficiently.
- Display Functionality: Shows the sparse matrix in triplet format for clarity.
Menu-Driven Program
- The program operates through a menu system allowing user interaction:
- Options provided include allocation of the 2D array, reading the sparse matrix, computing its transpose, displaying the matrix, and exiting the program.
- User input is handled for dynamic operations with appropriate prompts and validations.
Memory Management
- allocate2DArray: A key function that creates a 2D array with the given number of rows and columns.
- free2DArray: Ensures that the allocated memory for the 2D array is properly deallocated, preventing memory leaks.
Error Handling
- Validates conditions before executing actions, such as checking if the array is allocated or if the sparse matrix is populated before attempting transpose or display functions.
Implementation Details
- Uses standard library functions such as
mallocfor allocation andfreefor deallocation of memory resources. - Matrix elements are read row by row, with non-zero entries stored in the triplet array.
Example Output
- The program prints a formatted representation of the sparse matrix, listing the non-zero entries alongside their corresponding row and column indices.
Exit Strategy
- The program ends when the user selects the exit option, ensuring all resources have been freed correctly and providing a clean termination point.
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