Floating-Point Multiplication Circuit with About Zero Detection
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Solution Overview
Problem
Current processor architectures lack efficient methods to optimize performance and power consumption when dealing with multiplication operations involving floating-point numbers close to zero, as these operations often result in unnecessary computations and energy expenditure.
Innovation Solution
Incorporating an 'about zero' detection and multiplication circuitry that compares exponent values to a threshold, allowing for the skipping of multiplication operations when both operands are near zero, thereby reducing computational load and conserving power.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Loss of energy
If multiplication operations are performed on all floating-point values regardless of their magnitude, then computational completeness is maintained, but power consumption increases and unnecessary computations occur when values are close to zero
Solution Approach 1:
The patent applies preliminary action by performing an exponent comparison check before executing the multiplication operation. The circuit compares the exponents of the two floating-point operands against a threshold value to determine whether the values are 'about zero'. This preliminary detection prevents unnecessary multiplication operations from being performed when both operands are close to zero, thereby reducing power consumption while maintaining computational accuracy for significant values.
2Measurement precision
If all multiplication operations are executed, then computational accuracy is maintained, but unnecessary computations occur for values near zero
Solution Approach 1:
The patent performs a preliminary exponent comparison to identify operands that are about zero before executing multiplication. By checking whether both exponents exceed the threshold, the circuit determines in advance whether the multiplication is necessary, thereby avoiding wasted computational cycles while preserving accuracy for meaningful values.
Solution Approach 2:
The patent implements skipping by allowing the multiplication operation to be bypassed when both operands are detected as being about zero. The circuit rushes through the comparison stage and directly outputs zero as the result when the condition is met, eliminating the time-consuming multiplication step entirely for insignificant values while maintaining precision for significant computations.
Data Source
AI summary
Systems, methods, and apparatuses relating to instructions to multiply floating-point values of about zero 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 zero 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 zero threshold, cause a second comparison of an exponent of the second floating-point number to the about zero threshold, provide as a resultant of the single instruction a value of zero when the first comparison indicates the exponent of the first floating-point number does not exceed the about zero threshold, provide as the resultant of the single instruction the value of zero when the second comparison indicates the exponent of the second floating-point number does not exceed the about zero 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 zero threshold and the second comparison indicates the exponent of the second floating-point number exceeds the about zero threshold.