JPH0855088A - Arithmetic unit - Google Patents

Abstract

PURPOSE:To display all variable values as a list by automatically calculating plural unknown variables, which can be calculated from known variable values of variables included in a series of relations, in accordance with a preliminarily determined fixed pattern. CONSTITUTION:With respect to a graphic of the fixed pattern like a right-angled triangle, the arithmetic unit is initialized and a display part is cleared as shown in (1) when a clear key on a keyboard part is first operated. When a fixed pattern key is next operated, all variables X, Y, Z, alpha, beta, and S are displayed as a list from a calculated fixed pattern storage part through a control part and a display driver as shown in (2). When known variable values are inputted in the display order of alpha, X,..., the other variables are automatically calculated in accordance with the fixed pattern and are displayed as shown in (3) ans (4). X, Y, and Z are lengths of sides of the right-angled triangle, and alpha and betaare vertical angles, and S is the area.

Description

Detailed Description of the Invention

[0001]

BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to an arithmetic unit having various arithmetic functions, which is preferably implemented in a so-called programmable calculator or the like.

[0002]

2. Description of the Related Art FIGS. 3 and 9 are diagrams for explaining a typical conventional operation procedure. The right-angled triangle 10 of the figure shown in FIG. 3 is formed by three sides of X, Y and Z, and the angle formed by the sides X and Y is 90 °, that is, the side Z is provided as a hypotenuse. Also, the side Z,
The angles formed by X and the sides Z, Y are represented by α and β, respectively, and the area of the right triangle 10 is represented by S.

The relationships among the sides X, Y, Z, the angles α, β, and the area S are expressed by equations (1) to (4).

Y = X × tan α (1) Z = X ÷ cos α (2) β = 90−α (3) S = (X × Y) / 2 (4) Formulas (1) to (4) ), The variables X and α are known,
When the variable values are, for example, 5 and 30, respectively, in a typical prior art arithmetic unit, in order to obtain the unknown variables Y, Z, β and S contained in equations (1) to (4),
The following input operation is required.

FIG. 9 is a diagram showing the state of the display section at each input operation stage. When the clear key is input,
The arithmetic unit is initialized and displayed as shown in FIG. 9 (1). In order to obtain the unknown variable β included in the equation (3), an equation “90-3 in which a known variable value is substituted on the right side of the equation (3).
"0" is input and displayed as shown in FIG. 9 (2).
When the "=" key is operated, the calculation is executed and the calculation result "60" is displayed as shown in FIG. 9 (3). By the same operation, unknown variables Y, Z and S included in the equations (1), (2) and (4) are sequentially obtained, and the display contents of the display unit corresponding to each operation are shown in FIGS. 9 (9).

In addition to such a conventional technique, Japanese Patent Laid-Open No. 62-
In 228356, the relational expression between variables is stored in advance in the arithmetic unit in relation to the figure of the fixed pattern.
By inputting a known variable value into each of the relational expressions, unknown variable values are calculated one by one. Further, in Japanese Patent Laid-Open No. 4-31759, by inputting a known variable, its variable value, and a desired unknown variable to a relational expression stored in advance in an arithmetic unit,
It is configured to calculate an unknown variable value.

[0007]

In these conventional techniques, it is necessary to input a relational expression, a known variable value or a desired unknown variable in correspondence with the number of desired unknown variables, and a plurality of unknown variables are required. There is a disadvantage that the process of obtaining the value is troublesome and the input is apt to be erroneous. Also,
It is difficult to display a list of all variable values including the calculated unknown variable value.

An object of the present invention is to provide an arithmetic unit capable of calculating a desired unknown variable value and displaying a list of all variable values including the calculated variable value by a slight input operation. .

[0009]

SUMMARY OF THE INVENTION The present invention is a computing device for computing each variable value in a series of relational expressions that can be represented by a plurality of mutually related variables, wherein: Input means for inputting a known partial variable value, and an unknown variable value that can be calculated regarding the series of relational expressions from the input known variable value in response to the input operation to the input means. And a display unit for displaying a list of all variable values including the calculation result to the calculation unit. Further, the series of relational expressions of the present invention are expressions relating to figures. Furthermore, the figure of the present invention is characterized in that it is a right triangle.

[0010]

According to the present invention, a series of relational expressions that can be expressed by a plurality of mutually related variables, for example, a series of relations in a figure, such as the length of each side of a right triangle and each apex angle. In a computing device capable of computing each variable value in an expression, when a known partial variable value of a plurality of variables is input from the input means, the computing means uses the known variable value to generate a series of relations. All the unknown variable values that can be calculated for the formula are calculated, and all the variable values including the calculation result are displayed as a list on the display means.

Therefore, when a plurality of unknown variable values are calculated from a plurality of relational expressions, the input operation of the known variable value for each relational expression becomes unnecessary, and all the unknown unknown values are related only by the first input operation. Since the variable value of is derived, it is possible to reduce the number of user's input operations and also reduce input operation errors. In addition, displaying the list of variable values makes it easier to understand the relationship between the variables and improves convenience.

[0012]

1 is a block diagram for explaining an arithmetic unit according to an embodiment of the present invention. The arithmetic device includes a keyboard unit 1, a control unit 2, an arithmetic unit 3, a calculation fixed pattern storage unit 4, a calculation formula storage unit 5, a display driver 6 and a display unit 7. The keyboard section 1 which is an input means,
Position keys such as a numeric key 11, a calculation key 12, a function key 13, a clear key 14, a “ward” key 15 and a fixed pattern key 16 are provided. The clear key 14 is a position key that erases the input value, the calculated value, and the calculation process before the calculation work, and sets the calculation device to the initial state.
Is a keypad that allows the arithmetic unit to distinguish that the input value is used for an arithmetic operation according to a fixed pattern rather than an ordinary arithmetic operation.

The fixed pattern key 16 is composed of A, B, and C position keys, and a right triangle, a circle, and a trapezoid are respectively assigned as a fixed pattern. In this embodiment, A
Although the three keys C to C are provided as fixed pattern keys, there may be any number of fixed pattern keys, and individual fixed patterns may be assigned to each.
The fixed patterns of A, B, and C are stored in the calculated fixed pattern storage unit 4, and in particular, the calculation formula of each fixed pattern is coded and stored in the calculation formula storage unit 5.

The control unit 2 controls input information from the keyboard unit 1 or calculation information from the calculation unit 3 and transmits the information to the calculation fixed pattern storage unit 4 or the display driver 6. The arithmetic unit 3 includes a register corresponding to a variable included in a formula for calculating a fixed pattern and a register for reading stored contents, and arithmetic information input from the keyboard unit 1
Alternatively, the calculation is performed according to the calculation formula extracted from the calculation formula storage unit 5. The input value, the calculation result, and the like are displayed on the display unit 7 realized by the liquid crystal display device via the display driver 6.
Is displayed in.

FIG. 2 is a flow chart for explaining a calculation procedure using a fixed pattern. Starting from step L1, the clear key 14 of the keyboard unit 1 is operated in step L2 to initialize the arithmetic unit. Step L3 is in a key input waiting state, and proceeds to the next when any key operation is performed. Steps L4, L5 and L
In 6, the input operation keys are fixed pattern key 1 respectively.
6. The control unit 2 determines whether each of the "district" key 15 and the "=" key of the calculation keys 12 is used.

In step L7, the calculation unit 3 executes a normal calculation or a calculation according to a fixed pattern.
In the former calculation, the input key is "=" in step L6.
This is the case where it is determined that the input key is the key, and the latter operation is the case where the input key is determined to be the fixed pattern key 16 in step L4.

If it is determined in step L4 that the input key is the fixed pattern key 16, step L13.
In, the calculation formula corresponding to the type of the standard pattern key 16 is selected from the calculation standard pattern storage unit 4 and the calculation formula storage unit 5. In step L14, the control unit 2 determines whether or not the variables included in the calculation formula are given the number of variable values necessary for solving the calculation formula. If the number of variable values is insufficient, a key input waiting state is entered in step L3, and if the number of variable values is sufficient, calculation is executed in step L7.

When the input operation of the "ku" key indicating that the operation according to the fixed pattern is performed is confirmed in step L5, it is determined in step L10 whether or not the fixed pattern calculation formula has been selected. . If it has not been selected, the process waits for key input in step L3. If it has been selected, it is determined in step L11 whether standard pattern calculation has been completed. If not, step L14
It is determined whether or not the number of variable values is sufficient, and if the calculation is completed, the process ends.

After the calculation is performed in step L7, it is determined in step L8 whether or not the calculation result in step L7 is an error due to an incorrect key operation in the steps up to step L6. If there is an error, the process ends here, and if not, the process proceeds to step L9, the calculation result is displayed on the display unit 7, and the process ends.

When the fixed pattern is used after the normal calculation, after the calculation result is displayed in step L9, the input of the fixed pattern key 16 is awaited.

FIG. 3 is a diagram for explaining the right triangle 10 assigned as the standard pattern A of this embodiment. The right triangle 10 is formed by three sides of X, Y and Z, and the angle formed by the sides X and Y is 90 °, that is, the side Z is provided as a hypotenuse. The angles formed by the sides Z and X and the sides Z and Y are represented by α and β, respectively, and the area of the right triangle 10 is represented by S.

Table 1 shows a modification of the mutual relational expressions of the sides X, Y, Z, the angles α, β, and the area S so that they can be calculated from a combination of known variable values.

[0023]

[Table 1]

Codes shown in Table 2 are assigned to the components of the calculation formulas corresponding to the patterns A1 to A9 shown in Table 1.

[0025]

[Table 2]

The calculation formula coded by the codes shown in Table 2 is stored in the calculation formula storage unit 5 as shown in FIG. 4, for example. In FIG. 4, “H” and “division” represent the header and the delimiter code of the pattern, and the header includes the pattern number information. The calculation formulas corresponding to the respective patterns are X, Y,
It is stored in the order of Z, α, β, S.

FIG. 5 shows steps L4, L13, L14, L7, L8 and L in the flow chart shown in FIG.
9 is a flowchart for describing in detail the fixed pattern A from selection of fixed pattern along 9 to calculation display.

Steps M1 to M2 show details of the calculation formula selection in step L13. Step M1
In, the header of the desired pattern is searched from the code group stored in the calculation formula storage unit 5 as shown in FIG. When the header of the desired pattern is searched, the calculation formula is read in step M2, and when the variable calculation formula to be given is read, the contents of the store regions are sequentially stored starting from the store region in which the pattern header is stored. Is read and the "ku" is detected, the previously read code forms one calculation formula, and the variable to be given by this calculation formula is determined.

In step M3, the value of the variable to be given, that is, the value of the known variable is read, and the variable value is given to the register corresponding to each variable. If the number of input variable values is sufficient in step L14, step M4
The header of the pattern selected in is searched again.

Details of the calculation in step L7 will be described in step M5 and subsequent steps. The order of operations is X,
Y, Z, α, β, S are performed in this order, and first, step M5
At, it is determined whether or not the value of X has been obtained. In FIG. 4, since the “section” is stored in the store area next to the store area of the header of the pattern, it is assumed that X is a given variable and the process proceeds to step M5a.

If "ku" is not stored immediately after X, it is determined that X is a value calculated by the calculation of the calculation formula. Reading of the expression is realized by reading the code from the area where the pattern header is stored to the area where "ku" is stored,
When the "district" is detected, the read calculation formula is executed, and the calculation result is written in the X register.

At step M5a, it is judged if the value of Y is given. In step M6a, a calculation formula for calculating the variable value of the variable Y is calculated from the area in which "division", which is a code delimiter for the variable X, is stored to the area in which the next "division" is stored, in FIG. It is determined that there is. When the "ward" is detected, step M7
The read calculation formula is executed by a and M8a, and the calculation result is written in the Y register.

When the "ward" is continuously stored in the storage area next to the "ward" that distinguishes the information of the variable X, the value of Y is given to the Y register.

Similarly, in steps M5b to M8b, Z is performed.
However, α is obtained in steps M5c to M8c, β is obtained in M5d to M8d, and S is obtained in M5e to M8e, and these values are written in the corresponding registers. Step L
In 8, when no error is confirmed and it is confirmed that all variable values are given to the corresponding registers,
In step M9, the contents of each register are displayed as a list on the display unit 7.

As an example of the fixed pattern A, when the variables X and α shown in the pattern A1 of Table 1 are known and the variable values are 5 and 30, respectively, the unknown variables Y and Z included in the calculation formula are included. , Β, and S will be described with reference to FIG. Keyboard part 1 to clear key 1
When 4 is input, the arithmetic unit is initialized and displayed on the display unit 7 as shown in FIG. Next, when the fixed pattern key A is operated, all variables X, Y, Z, α, β and S included in the calculation formula are calculated from the calculated fixed pattern storage unit 4 via the control unit 2 and the display driver 6. Are displayed in a list on the display unit 7 as shown in FIG. Next, known variable values are input in the order displayed as shown in FIG. 6B, that is, in the order of α and X.

In this embodiment, first, the variable value 30 is input, and then the "ku" key indicating that the operation is performed according to the fixed pattern is input, and the display section 7 is displayed as shown in FIG. Displayed as shown. Next, when the variable value 5 is input and all the known variable values are input and then the “District” key is input, the calculation formula storage unit 5 is searched for the header of the pattern A. When the header is searched, X * tan α is read and it is determined that the known variables are X and α. When a known variable is indexed, its variable values 5 and 30 are written to the corresponding X and α registers, respectively. Next, the header of the pattern A is searched again, the code is read in order from the area where the header of A is stored, and X, Y, Z,
It is searched whether or not each variable value is given to the register in the order of α, β, and S. Since the variables X and α are known variables, variable values are given to the corresponding registers. On the other hand, the unknown variables Y, Z, β, and S have their values obtained by sequentially calculating the respective calculation formulas, and the respective values are written in the corresponding registers. When all the variable values have been obtained, the contents of the register are displayed in a list on the display unit 7, as shown in FIG. 6 (4).

FIG. 7 is a diagram for explaining another embodiment of the calculation using the fixed pattern A. In FIG. By the input operation of the clear key, the arithmetic unit is initialized and displayed on the display unit 7 as shown in (1). Next, the known variable value 30
Is input, and the “ward” key indicating that the operation according to the fixed pattern is performed is input. Subsequently, after the variable value 5 is input and all the known variable values are input, when the "A" key of the standard pattern keys 16 is input,
Calculation formulas corresponding to Y, Z, β, and S are sequentially executed along a fixed pattern. When all the unknown variable values are calculated, all the variable values including the known variable values are shown in FIG. 7 (2).
The list is displayed as shown in.

FIG. 8 is a diagram for explaining still another embodiment of the calculation using the fixed pattern A. In FIG. When the clear key is input, the arithmetic unit is initialized and the display unit 7
Is displayed as shown in FIG. Next, the formula 5 × tan30 in which a known variable value is substituted into the right side of Y = X × tan α which is the calculation formula of the fixed pattern A is sequentially input as shown in FIGS. 8 (1) to 8 (5). . When the “=” key is input, the calculation of 5 × tan30 is executed, and the calculation result is displayed as shown in FIG. 8 (6). Then, when the "A" key of the fixed pattern key 16 is input, the calculation formulas corresponding to Z, β, and S are sequentially calculated. When all the unknown variable values are calculated, all variables including the known variable values are listed on the display unit 7 as shown in FIG. 8 (7).

As described above, the desired unknown variable value is automatically calculated by a slight key input operation by performing the operation according to the fixed pattern. Therefore, input operation errors are reduced, and all variable values can be displayed in a list, making it easier to understand the relationship between each variable value.
The convenience can be improved.

In the remaining fixed patterns B and C, for example, the radius and the lengths of two sides adjacent to each other are set as known variables, and unknown variable values such as areas of circles and rectangles related to these variables are set. And the length of the outer peripheral surface can be calculated.

[0041]

As described above, according to the present invention, in a computing device for computing each variable value in a series of relational expressions that can be represented by a plurality of mutually related variables, among the plurality of variables, the known When a certain part of the variable values is input, all the unknown variable values related to the series of relational expressions are calculated from this known variable, so that some of the conventionally required input operations are unnecessary. Therefore, it is possible to reduce the number of input operations by the user, reduce input operation errors, and realize excellent operability. Also,
Since all the variable values including the calculation result are displayed in a list, the relationship between the variables can be easily understood and the convenience can be improved.

[Brief description of drawings]

FIG. 1 is a block diagram for explaining an arithmetic unit according to an embodiment of the present invention.

2 is a flowchart for explaining a calculation procedure using a fixed pattern A. FIG.

FIG. 3 is a diagram showing a right triangle of a calculation example.

FIG. 4 is a diagram showing a code arrangement stored in a calculation formula storage unit 5.

FIG. 5 is a flowchart for explaining a calculation operation using a fixed pattern A.

FIG. 6 is a diagram for explaining an example of an operation using a fixed pattern A.

FIG. 7 is a diagram for explaining another embodiment of the calculation using the fixed pattern A.

FIG. 8 is a diagram for explaining still another embodiment of the calculation using the fixed pattern A.

FIG. 9 is a diagram for explaining a typical conventional arithmetic method.

[Explanation of symbols]

 1 Keyboard Section 2 Control Section 3 Computing Section 4 Calculation Fixed Pattern Storage Section 5 Calculation Formula Storage Section 6 Display Driver 7 Display Section 10 Right-angled Triangle

Claims (3)

[Claims] 1. A computing device for computing each variable value in a series of relational expressions that can be represented by a plurality of mutually related variables, wherein a known partial variable value of the plurality of variable values is Input means for input operation, and operation means for operating, in response to an input operation to the input means, all known variable values that can be calculated regarding the series of relational expressions from known variable values that have been input. And a display unit for displaying a list of all variable values including the calculation result to the calculation unit. 2. The arithmetic unit according to claim 1, wherein the series of relational expressions are expressions relating to graphics. 3. The arithmetic unit according to claim 2, wherein the graphic is a right triangle.