Matrix Register Transposition With Fewer Processor Instructions
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Solution Overview
Problem
Current matrix transposition methods in high-performance computing applications using scalar or vector registers are inefficient, requiring a large number of instructions and leading to low efficiency.
Innovation Solution
Utilizing a matrix register to store and read matrix data in a two-dimensional form, allowing for reduced instructions through row-by-row or column-by-column operations, thereby improving transposition efficiency.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If scalar or vector registers are used for matrix transposition, then the processor can handle matrix operations, but the number of instructions increases and efficiency decreases
Solution Approach 1:
The patent transitions from using scalar or vector registers (one-dimensional data structures) to using a matrix register (two-dimensional data structure) for storing and processing matrix data. This dimensional change allows the processor to directly manipulate matrix elements in their natural two-dimensional arrangement, reducing the number of instructions needed for transposition operations while improving computational efficiency
2Loss of time
If scalar or vector registers are used for matrix transposition, then the processor can perform the operation, but the operation time increases
Solution Approach 1:
By introducing a matrix register that stores data in a two-dimensional form matching the natural structure of matrix operations, the patent enables more direct and efficient data access patterns. This eliminates the need for complex instruction sequences required when using flat scalar or vector registers, thereby reducing operation time and increasing transposition speed
Solution Approach 2:
The matrix register is designed to pre-organize matrix data in a two-dimensional layout that anticipates transposition needs. By maintaining data in this optimized structure, the processor can perform transposition operations more quickly without requiring extensive preliminary data reorganization or complex instruction sequences
Data Source
AI summary
A matrix operation method is performed by a processor including a matrix register. In the matrix operation method, data of a first matrix to be transposed may be stored in the matrix register, where the first matrix includes N rows and M columns. The matrix register stores the data of the first matrix in a two-dimensional form of N rows and M columns. Then, the data of the first matrix may be read from the matrix register in a row-by-row or column-by-column manner to obtain data of a second matrix obtained by transposing the data of the first matrix, where the second matrix includes M rows and N columns.