Floating-Point Multiplier with About-One Exponent Detection
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Solution Overview
Problem
Current processor architectures face inefficiencies in performing multiplication operations involving floating-point numbers close to 'about one' values, leading to unnecessary computations and power consumption, as existing technologies lack optimized methods to handle these specific cases effectively.
Innovation Solution
Incorporating an 'about one' detector circuit and multiplier circuit within the processor architecture, which compares the exponents of floating-point numbers to a threshold, allowing for the skipping of multiplication operations when both operands are 'about one' and optimizing power usage by turning off multipliers for such operations.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If multiplication operations are performed on all floating-point numbers without optimization, then computational accuracy is maintained, but power consumption increases and processing efficiency decreases
Solution Approach 1:
The patent applies preliminary action by detecting whether floating-point operands are 'about one' values before performing multiplication operations. The detector circuit checks the exponent fields of operands in advance, and only allows multiplication to proceed when neither operand is an 'about one' value, thereby avoiding unnecessary computations and reducing power consumption
Solution Approach 2:
The patent implements skipping by enabling the multiplication operation to be bypassed entirely when the detector identifies that one or both operands are 'about one' values. The detector output controls a select mechanism that either passes through the operand directly or allows the multiplication to proceed, effectively skipping unnecessary multiplication operations to improve processing efficiency and reduce energy usage
2Loss of energy
If multiplication operations are skipped when operands are 'about one' values, then power consumption is reduced, but computational accuracy may be compromised
Solution Approach 1:
The patent applies parameter changes by defining a specific threshold parameter for what constitutes an 'about one' value based on the exponent field of floating-point numbers. By changing the representation and detection parameter from exact value matching to exponent-based threshold detection, the system can efficiently identify candidates for skipping while maintaining acceptable computational accuracy for numerical computations where such values commonly occur
3Productivity
If detector circuit and optimized multiplier circuit are added, then processing efficiency improves, but device complexity increases
Solution Approach 1:
The patent applies segmentation by dividing the multiplication circuit into distinct functional segments: a detector circuit that examines exponent fields, a control mechanism that decides whether to skip multiplication, and the multiplier circuit itself. This segmentation allows the system to add only the necessary detection logic while maintaining the core multiplication functionality, thereby improving processing efficiency with minimal increase in overall device complexity
Data Source
AI summary
Systems, methods, and apparatuses relating to instructions to multiply floating-point values of about one are described. In one embodiment, a hardware processor includes a decoder to decode a single instruction into a decoded single instruction, the single instruction having a first field that identifies a first floating-point number, a second field that identifies a second floating-point number, and a third field that indicates an about one threshold; and an execution circuit to execute the decoded single instruction to: cause a first comparison of an exponent of the first floating-point number to the about one threshold, cause a second comparison of an exponent of the second floating-point number to the about one threshold, provide as a resultant of the single instruction a value of the first floating-point number one when both the first comparison indicates the exponent of the first floating-point number does not exceed the about one threshold and the second comparison indicates the exponent of the second floating-point number does not exceed the about one threshold, provide as the resultant of the single instruction the second floating-point number when the first comparison indicates the exponent of the first floating-point number does not exceed the about one threshold, and provide as the resultant of the single instruction a product of a multiplication of the first floating-point number and the second floating-point number when the first comparison indicates the exponent of the first floating-point number exceeds the about one threshold or and the second comparison indicates the exponent of the second floating-point number exceeds the about one threshold.