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Transcendental function evaluation

A transcendental function, exponential technology, applied in the direction of electrical digital data processing, digital data processing components, instruments, etc., can solve problems such as power consumption and time

Pending Publication Date: 2019-12-13
TEXAS INSTR INC
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AI Technical Summary

Problems solved by technology

Correspondingly, in the control loop for such as |x| α The evaluation of the transcendental functions of can consume a relatively large amount of power and time

Method used

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Examples

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Embodiment Construction

[0010] This paper describes a method for processing such as |x| α A system of transcendental function evaluation for . The transcendental function may be evaluated in response to curve fitting the transcendental function over a series of equally or unequally spaced segments, wherein the segment for such curve fitting is determined with respect to the mantissa of the input operands, and the curve fitting Composite generates an approximation of the value of the transcendental function. Examples of digital circuits, such as execution units and / or hardware accelerators, are described herein for evaluating transcendental functions, such as logarithmic or exponential functions, in response to linear or quadratic curve fitting.

[0011] An example execution unit may be arranged to evaluate a transcendental function by rapidly evaluating a function that would otherwise be performed by a general-purpose processor executing software (otherwise over a longer period of time). The execut...

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Abstract

The present invention discloses a transcendental function evaluation. In described examples, an apparatus 500 is arranged to generate a linear term, a quadratic term, and a constant term of a transcendental function with, respectively, a first circuit 530, a second circuit 550, and a third circuit 580 in response to least significant bits of an input operand 510 and in response to, respectively, afirst, a second, and a third table value 520 that is retrieved in response to, respectively, a first, a second, and a third index generated in response to most significant bits of the input operand.The third circuit 580 is further arranged to generate a mantissa of an output operand in response to a sum of the linear term, the quadratic term, and the constant term.

Description

technical field Background technique [0001] A process for performing nonlinear control at a high performance level may evaluate a transcendental function to generate a corrected error signal in a feedback control loop. A corrected error signal is generated in response to a control loop error. function |x| α is a transcendental function that typically uses substantially large numbers of calculations for its computation / evaluation. In digital systems, such transcendental functions can be evaluated by determining a Taylor series expansion, which consumes a high level of computing power and a large number of clock cycles for its execution. Hardware implementations have been proposed for evaluating transcendental functions, such as by using a CORDIC (Coordinate Rotation Digital Computer), which is an iterative process that converges to precision during successive steps. Correspondingly, in the control loop for such as |x| α The evaluation of the transcendental functions of ca...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F7/544G06F7/556G06F7/483
CPCG06F7/544G06F7/556G06F7/483G06F7/548
Inventor P·维斯瓦纳坦皮莱R·M·波利V·纳塔拉昂A·特索罗洛
Owner TEXAS INSTR INC
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