JPH01149175A - Arithmetic processing circuit - Google Patents

Abstract

PURPOSE:To shorten an arithmetic processing time by executing an interpolative operation based on a function value and the inclination information of a function previously stored in a function information storing means. CONSTITUTION:In a ROM 1, each interval function value of a prescribed function and the inclination information of the function corresponding to said each interval function value are previously stored. When the interpolative operation of the function value at an arbitrary point is designated by an input part 4, an operation part 3 reads each interval function value and the inclination information of the function corresponding to the value from the ROM 1 and interpolate-operates the function value at the arbitrary point. The arithmetic result is sent to an output part 5 composed of a printing part 5a and a displaying part 5b.

Description

[Detailed Description of the Invention] [Field of Industrial Application] The present invention relates to an arithmetic processing circuit that computes a preset function value, and particularly relates to an arithmetic processing circuit that approximates a function value in an arbitrary interval. be.

[Conventional technology]

Conventionally, devices having this type of arithmetic processing circuit, such as desktop calculators, have been configured to execute preset function values while referring to arithmetic data stored in a storage medium such as a ROM. There is.

That is, when calculating a function value corresponding to an argument given by a computer, etc., the value is stored in a storage area such as a table in advance, and the required calculation data is read from the storage area each time calculation processing starts. It is configured to perform calculations by interpolation.

[Problem that the invention seeks to solve]

Since conventional arithmetic processing circuits calculate function values according to the process described above, until the function value of the objective function is obtained, the values that remain unchanged, for example, if the function is a linear function, the slope value is also changed to a predetermined value. , the number of arithmetic processing steps increases, unnecessary arithmetic processing time is required, and the start time of the next program execution is significantly delayed.

This invention was made to solve the above problems, and by storing in advance a value that remains unchanged during interpolation of function values, function values in a desired interval can be processed at high speed. The purpose is to obtain an arithmetic processing circuit.

(Means for Solving the Problems) The arithmetic processing circuit according to the present invention includes a function information storage means for storing in advance each interval function value of a predetermined function and slope information of the function corresponding to each interval function value; It is provided with arithmetic processing means for interpolating a function value at an arbitrary point based on each interval function value of the predetermined function stored in the information storage means and slope information of the function corresponding to each interval function value. .

[Effect]

In this invention, when an interpolation operation is instructed for a function value at an arbitrary point, each interval function value of a predetermined function stored in the function information storage means and slope information of the function corresponding to each interval function value are calculated. A processing means reads out and interpolates the function value at an arbitrary point.

(Embodiment) FIG. 1 is a block diagram illustrating the configuration of an arithmetic processing circuit showing an embodiment of the present invention. Reference numeral 1 denotes a ROM which also serves as function information storage means of the present invention, in which a control program and a predetermined function, e.g. Each interval function value of a sine value and a cosine value and the slope (differential coefficient information) information of the function corresponding to each interval function value are stored. 2 is a CPU, which starts calculation from an input unit 4 and receives numerical data (argument). ) is input manually, each interval function value of the sine value and cosine value and the slope of the function corresponding to each interval function value (
Among the (differential coefficient information) information, necessary specific interpolation information is read out and output to the calculation section 3. The arithmetic unit 3 depletes the arithmetic processing means of the present invention, executes an interpolation operation according to the following formula (1) according to the interpolation information output from the CPU 2', and transfers the operation result to the CPU 2. . 5 is the output section,
For example, it is composed of a print section 5a and a display section 5b, and is capable of outputting the computed values of the computing section 3, numerical values related to the computation, and control information.

In the interval [a, b], f'(X
) = (f (b) - f (a) )/ (b-a)
(a<=X<b)--(1) There exists an X that satisfies the following. Therefore, f'(X) is (a.

f (a)), (b, f (b)) This is the slope of the straight line connecting the two points, and the value of this slope f'(X) is 80 to a. - As interpolation information, F (X
) values and the information necessary to interpolate these values (in the case of linear interpolation, the differential coefficient corresponding to the slope) are stored.

Next, the interpolation calculation process of the calculation section 3 shown in FIG. 1 will be explained with reference to FIG.

FIG. 2 is a flowchart illustrating an example of the interpolation processing procedure according to the present invention. Note that (1) to (3) indicate each step.

First, for the argument X specified from the input section 4,
Determine the a-o which gives aI+1 (1). Then R.O.
From MI, f (at) and f' (X), i.e. (
f (at) −f (at++) )/at −
Read aμ+ and store its contents in register A of CPU2.

Set to B (2). Then, the contents of register B are set to (
X-a), then add the contents of register A, and add the result to register Y of CPU2 (the contents are ((f(a)
t) f(at-1))/at-al*1) X
(X-at)+f(at) (equivalent to the calculation) 3), and the process ends.

For this reason, as in the past, (f (at)−f (al
It is possible to shift to interpolation calculation without actually calculating 1))/al-81 days, and it becomes possible to significantly reduce the calculation processing steps.

(Effects of the Invention) As explained above, the present invention includes a function information storage means that stores in advance each interval function value of a predetermined function and slope information of a function corresponding to each interval function value, and Since the calculation processing means is provided for interpolating the function value at an arbitrary point based on each interval function value of the predetermined function to be calculated and the slope information of the function corresponding to each interval function value, the slope for determining the function value can be calculated. It is possible to perform six lines of direct approximation function value calculation processing without performing calculations such as , etc., and the function approximation calculation processing procedure can be omitted, and the calculation processing time can be significantly shortened.

[Brief explanation of the drawing]

FIG. 1 is a block diagram illustrating the configuration of an arithmetic processing circuit according to an embodiment of the present invention, and FIG. 2 is a flowchart illustrating an example of a processing procedure for performing an interpolation operation according to the present invention. In the figure, 1 is a ROM, 2 is a CPU, 3 is an arithmetic section, 4 is an input section, and 5 is an output section. Figure 1 5a 5b

Claims (1)

[Claims] In an arithmetic processing circuit that executes predetermined four arithmetic operations according to a program stored in advance, a function information storage means that stores in advance each interval function value of a predetermined function and slope information of the function corresponding to each interval function value; comprising arithmetic processing means for interpolating a function value at an arbitrary point based on each interval function value of the predetermined function stored in the function information storage means and slope information of the function corresponding to each interval function value; An arithmetic processing circuit featuring: