JP2012128483A - Electronic computer and program - Google Patents

Abstract

PROBLEM TO BE SOLVED: To enable mathematical expressions and calculation results which include an operator of [±] to be input and displayed in a natural display form in an electronic computer such as a mathematical calculator.SOLUTION: An electronic computer comprises a [±] (plus/minus operation symbol) key as a key for inputting mathematical expressions in a key input unit, and cannot only input and display a mathematical expression including the operation symbol [±] in a natural display, but when the mathematical expression of an operation target includes the operation symbol [±], also develop the mathematical expression into two mathematical expressions, one mathematical expression using an operation symbol [+] and another mathematical expression using an operation symbol [-], to perform operation processing of each of the mathematical expressions. Then, the electronic computer performs comparative determination of whether two calculation results can be integrated into one by using the operation symbol [±] so as to display one integrated calculation result or two calculation results without change. Thus, it is possible to more easily and comfortably perform calculation work of mathematical expressions including the plus/minus operation symbol [±].

Description

  The present invention relates to an electronic computer that inputs and displays an arbitrary mathematical expression and executes a calculation process, and a control program therefor.

  In mathematical calculations, there are some natural notations in textbooks such as complex numbers and solutions of higher-order equations, in which mathematical expressions and calculation results are expressed including an operator of [±].

  An electronic device having a complex number calculation function is disclosed (for example, see Patent Document 1).

  An electronic computer that calculates a polynomial including a square root is disclosed (for example, see Patent Document 2).

Japanese Patent Laid-Open No. 05-204865 JP 2005-339265 A

  In a conventional small electronic calculator (calculator), it is not possible to input and display the [±] operator, so to calculate a mathematical expression that includes the [±] operator in natural notation, It is necessary to calculate the two expressions by expanding the operator of [+] and the operator of [−].

  For this reason, for example, when a solution of a higher-order equation including an operator of [±] is substituted into the equation for verification, it is necessary to expand the verification into two equations for verification.

  The present invention has been made in view of such a problem, and provides an electronic computer and a control program therefor that allow a mathematical expression including a [±] operator and a calculation result to be input and displayed in a natural notation. For the purpose.

  The electronic computer according to claim 1 includes a key input unit having a [±] key, a formula input unit for inputting a formula corresponding to a user operation of the key input unit, and a formula input by the formula input unit. A mathematical expression display means for displaying, an arithmetic symbol determining means for determining whether or not a mathematical expression inputted by the mathematical expression input means includes a [±] symbol, and an arithmetic symbol judging means for including a [±] symbol in the mathematical expression When the determination is made, the mathematical expression is expanded into two mathematical expressions, the mathematical expression including the [+] symbol and the mathematical expression including the [−] symbol, among the [±] symbols, and the mathematical expression expansion arithmetic means for performing the arithmetic operation on each mathematical expression And whether the calculation results of the two equations calculated by the equation expansion calculation means are the same, or whether only the calculation symbol at the same position in each calculation result is different between the [+] symbol and the [−] symbol. Calculate to determine When the result determination means and the calculation result determination means determine that the calculation results of the two formulas are the same, one calculation result is output, and only the operation symbol at the same position in each calculation result is [+ ] Symbol and [-] symbol are determined to be different from each other, the calculation symbols at the same position are replaced with [±] symbols and output together as one calculation result, and otherwise, the respective calculation results are output. And a calculation result output means.

  The electronic computer according to claim 2 is the electronic computer according to claim 1, wherein the mathematical expression input unit is [±] when a [±] key is continuously input in response to a user operation of the key input unit. It has a sign reverse input means for inputting a symbol obtained by reversing the sign of the symbol.

The program according to claim 3 is a program for controlling a computer of an electronic computer including a key input unit having a [±] key and a display unit, and the computer is used for a user operation of the key input unit. A mathematical expression input means for inputting a corresponding mathematical expression, a mathematical expression display means for displaying the mathematical expression input by the mathematical expression input means on the display unit, and a determination as to whether or not a [±] symbol is included in the mathematical expression input by the mathematical expression input means. An arithmetic symbol judging means, and when the arithmetic symbol judging means judges that the [±] symbol is included in the formula, the mathematical formula includes a [+] symbol among the [±] symbols and a [−] symbol. Formula expansion operation means that expands into two formulas including the formula including the formula and executes the calculation for each formula, and whether each calculation result of the two formulas calculated by the formula expansion calculation means is the same Alternatively, calculation result judging means for judging whether or not only the calculation symbol at the same position in each calculation result is different between the [+] symbol and the [−] symbol, and the calculation results of the two formulas are the same by the calculation result judging means. When it is determined that there is one, the calculation result is output to the display unit, and when it is determined that only the calculation symbol at the same position in each calculation result is different between the [+] symbol and the [−] symbol, the same position is output. [Mathematical formula-see original document] A calculation result output means for replacing the operation symbol of [±] with a single calculation result and outputting it to the display unit; otherwise, outputting each calculation result to the display unit,
Program to function as.

  According to the present invention, it is possible to provide an electronic computer and a control program therefor that can input and display mathematical expressions and calculation results including an operator of [±] in a natural notation.

1 is a front view showing an external configuration of a small electronic calculator (scientific calculator) 10 according to an embodiment of an electronic calculator of the present invention. FIG. 2 is a block diagram showing a configuration of an electronic circuit of the scientific calculator 10. 7 is a flowchart showing mathematical expression input / calculation processing by the scientific calculator 10; The figure which shows the specific example at the time of calculating the solution of a quadratic equation according to the numerical formula input and calculation process of the scientific calculator 10. The figure which shows the specific example at the time of calculating the quadratic formula of a complex number according to the numerical formula input and calculation process of the scientific calculator 10.

  Embodiments of the present invention will be described below with reference to the drawings.

  FIG. 1 is a front view showing an external configuration of a small electronic calculator (functional calculator) 10 according to an embodiment of an electronic calculator of the present invention.

  The scientific calculator 10 has a small size that allows a user to hold it with one hand and operate with one hand because of its portability. A key input unit 11 and a display unit 16 are provided on the front surface of the main body of the scientific calculator 10.

  The key input unit 11 is a numeric / arithmetic symbol key group 12 for inputting numerical values and mathematical formulas and instructing execution of calculations, and a function function for inputting various functions and for starting up a memory function. Key group 13, mode setting key group 14 for displaying menu screens of various operation modes and instructing setting of operation modes, moving operation of cursor Cu displayed on display unit 16, selection operation of data items, and the like Cursor keys 15 for performing functions and function keys F1 to F4 for selectively designating various functions displayed on the menu along the lower end of the display unit 16.

  The numerical / arithmetic symbol key group 12 includes [0] to [9] (numerical value) keys, [+] [−] [×] [÷] (four arithmetic symbols) key, [Exp] exponent) key, [ EXE] (execute) key, [AC] (clear) key, and the like are arranged.

  As the function function key group 13, [√] (root) key, [a / b] (fraction) key, [sin] (sign) key, [M +] (memory plus) key, and the like are arranged.

  As the mode setting key group 14, a [Menu] key, [Grph] (graph) key, [Trac] (graph trace) key, and the like are arranged.

  A [±] (plus / minus symbol) key is provided on the left side of the mode setting key group 14.

  The display unit 16 is composed of a dot matrix type liquid crystal display unit.

  FIG. 2 is a block diagram showing the configuration of the electronic circuit of the scientific calculator 10.

  The scientific calculator 10 includes a control unit (CPU) 21 that is a computer.

  The control unit (CPU) 21 is a system program stored in the storage device 22 in advance, a computer control program read into the storage device 22 from an external storage medium (not shown) such as a memory card, or a communication network. In accordance with a computer control program downloaded from a program server (not shown) and read into the storage device 22, the operation of each part of the circuit is controlled using the RAM 23 as a working memory. The system program and computer control program stored in advance in the storage device 22 are activated in response to a key input signal from the key input unit 11.

  In addition to the storage device 22, the RAM 23, and the key input unit 11, a display unit (LCD) 16 is connected to the control unit (CPU) 21.

  In the RAM 23, a display data memory 23a, an input buffer 23b, a cursor pointer memory 23c, a mathematical expression data memory 23d, a calculation result data memory 23e, and the like are secured.

  In the display data memory 23a, mathematical formula data to be displayed on the display unit 16, data of the calculation result, and the like are expanded and stored in bitmap data corresponding to the display area of the display unit 16.

  In the input buffer 23b, key code data constituting an expression keyed by the key input unit 11 is sequentially stored. For example, a numeric key is a code indicating a number, and a function key such as [√] [a / b] [sin] is a code indicating the function, such as [+] [−] [×] [÷] [±] The operation symbol key is stored as a code indicating the operation symbol.

  In the cursor pointer memory 23c, the cursor Cu that is stored as key code data in the input buffer 23b and that is moved and displayed by the operation of the cursor key 15 with respect to the key input data displayed on the display unit 16 is positioned. Pointer data indicating where to do is stored.

  The mathematical formula data memory 23d stores mathematical formula data generated by being input to the input buffer 23b.

  The calculation result data memory 23e stores calculation result data obtained by performing arithmetic processing on the mathematical formula stored in the mathematical formula data memory 23d.

  Next, the mathematical expression input / calculation function of the electronic calculator (scientific calculator) 10 having the above-described configuration will be described.

  FIG. 3 is a flowchart showing mathematical expression input / calculation processing by the scientific calculator 10.

  First, when a user operates a desired key on the key input unit 11, the key data is read into the CPU 21 (step S1). Then, whether or not the key data read by the CPU 21 is [±] (plus-minus symbol) key data (step S2), whether other numeric / character / symbol key data (step S3), [ EXE] (execute) key data is determined (step S4).

  If numeric / character / symbol key data is input (step S3 (Yes)), an expression input process is performed, and the input numeric / character / symbol key data is the key code. Are sequentially stored in the input buffer 23b, and a mathematical expression corresponding to the key code is displayed on the display unit 16 (step S5).

  In the process of repeating the formula input process according to the input of the number / letter / symbol key (steps S1, S2 (No) → S3 (Yes) → S5), the [±] (plus / minus symbol) key is input. If it is determined (step S2 (Yes)), it is determined whether or not the [±] key is continuously input (step S6).

  If it is determined that the input is not a continuous input but a single input (step S6 (No)), the input [±] key code is stored in the input buffer 23b and the corresponding [±] (plus The minus operation symbol) is displayed on the display unit 16 (step S7).

  On the other hand, if it is determined that the [±] key is continuously input (step S6 (Yes)), the key code in which the input [±] sign is reversed is stored in the input buffer 23b for each continuous input. Then, the corresponding [±] (plus / minus operation symbol) or [− +] (minus / plus operation symbol) is displayed on the display unit 16 (step S8).

  Here, the [-+] (minus plus arithmetic symbol) is formally arranged with the “+” symbol immediately below the “−” symbol, but exists in the prescribed character / symbol font in the online application. Therefore, it is described as [-+] for convenience.

  At this time, even if a mathematical expression includes the arithmetic symbol [±] (or [− +]), the mathematical expression is naturally displayed on the display unit 16 as it is input.

  When it is determined that the [EXE] (execution) key has been input in a state in which a mathematical expression desired by the user is input and displayed on the display unit 16 in accordance with such a key input process (step S4 (Yes)), the input buffer 23b The key code data stored in is read out, and it is checked whether there is a problem as a mathematical expression to be calculated (step S9). If it is determined that there is a problem that cannot be calculated by the mathematical expression check in step S9, a syntax error is displayed.

  If there is no problem with the input mathematical formula, the mathematical formula is stored in the mathematical formula data memory 23d, and it is determined whether or not an arithmetic symbol [±] (or [-+]) is included in the mathematical formula ( Step S10).

  Here, when it is determined that an arithmetic symbol [±] (or [− +]) is not included in the input mathematical formula (Step S10 (No)), a normal computation corresponding to the mathematical formula is performed. The process is executed (step S11), and the calculation result data is stored in the calculation result data memory 23e and displayed on the display unit 16 (step S12).

  On the other hand, when it is determined that an arithmetic symbol [±] (or [− +]) is included in the inputted mathematical formula (step S10 (Yes)), the [±] (or [− +] ] Of the arithmetic symbols of []] and two of the arithmetic symbols including the arithmetic symbol of [-] are generated (step S13). Then, respective calculation processes corresponding to the two generated mathematical formulas are executed, and data of each calculation result is stored in the calculation result data memory 23e (step S14).

  Then, the calculation result of the mathematical expression including the arithmetic symbol [+] obtained by expanding the arithmetic symbol [±] (or [− +]) is compared with the calculation result of the mathematical expression including the arithmetic symbol [−] (step). S15), it is determined whether or not the calculation results including the calculation symbol [±] (or [− +]) can be collected (step S16).

  That is, for example, in the comparison of the calculation results of the two mathematical formulas, when the calculation symbols at the same position of the calculation results are different in [+] and [−] and are the same in all other cases, it is applicable. It is judged that it is possible to put together an operation symbol of [±] (or [-+]) at a position and combine them as one calculation result.

  If it is determined in step S16 that the calculation results of the two mathematical expressions can be collected as one calculation result including the calculation symbol [±] (or [-+]) (step S16) S16 (Yes)), the two calculation results are combined into one calculation result with an operation symbol of [±] (or [-+]) (step S17) and displayed on the display unit 16 (step S12). ).

  In the comparison of the calculation results of the two mathematical expressions in step S15, if the calculation results are exactly the same, the single calculation result is displayed on the display unit 16.

  On the other hand, if it is determined in step S16 that the calculation results of the two mathematical expressions cannot be combined into one calculation result including the operation symbol [±] (or [− +]) (step S16). (No)), the two calculation results are displayed as separate calculation results on the display unit 16 (steps S18 and S12).

  In this way, not only can an arbitrary mathematical expression including an arithmetic symbol of [±] (or [-+]) be input and displayed naturally, but two calculation results obtained by performing arithmetic processing by expanding the mathematical expression are as follows. When it is possible to put together an operation symbol of [±] (or [-+]), it is possible to display the calculation results collected together.

  FIG. 4 is a diagram showing a specific example when the solution of the quadratic equation is calculated according to the mathematical expression input / calculation process of the scientific calculator 10.

  As shown in FIG. 4A, a mathematical expression “Solve (X ^ 2 + 4X + 1 = 0)” for finding a solution of the quadratic equation is keyed and displayed on the display unit 16 (steps S1 → S3 (Yes ) → S5) As shown in FIG. 4B, when the [EXE] (execute) key is input (step S4 (Yes)), the quadratic equation “X ^ 2 + 4X + 1 = 0”. Is calculated (steps S9 to S11), and the calculation result “−2 ± √3” is displayed on the display unit 16 (step S12).

  Subsequently, using the calculation result “−2 ± √3” of the quadratic equation “X ^ 2 + 4X + 1 = 0” displayed on the display unit 16, as shown in FIG. The verification formula “(−2 ± √3) ^ 2 + 4 (−2 ± √3) +1” is input and displayed (Step S 1 → S 3 (Yes) → S 5 → S 1 → S 2 (Yes) → S 6 (No) → S7) As shown in FIG. 4D, when the [EXE] (execute) key is input (step S4 (Yes)), “(−2 + √3) ^ 2 + 4 (−2+) (3) +1 ”and“ (-2-√3) ^ 2 + 4 (-2-√3) +1 ”are executed in the two mathematical expressions (steps S9 and S10). (Yes) → S13, S14), and the calculation result “0” is displayed (steps S15 to S17 → S12).

  Therefore, according to the specific example described with reference to FIGS. 4A to 4D, an arbitrary mathematical expression including an arithmetic symbol [±] (or [− +]) is input and displayed naturally. Therefore, the verification formula including the solution “-2 ± √3” of the quadratic equation “X ^ 2 + 4X + 1 = 0” “(−2 ± √3) ^ 2 + 4 (-2 ± √ 3) +1 ”can be easily input and displayed to enable verification.

  FIG. 5 is a diagram showing a specific example when a complex quadratic expression is calculated according to the mathematical expression input / calculation processing of the scientific calculator 10.

  As shown in FIG. 5A, a complex quadratic expression “(−2 ± i) ^ 2” is keyed and displayed on the display unit 16 (steps S1 → S3 (Yes) → S5 → S1 → S2). (Yes) → S6 (No) → S7) As shown in FIG. 5B, when the [EXE] (execute) key is input (step S4 (Yes)), “(−2 + i) ^ 2 ”and“ (-2-i) ^ 2 ”, the respective arithmetic processes expanded into two mathematical expressions are executed (steps S9, S10 (Yes) → S13, S14), and the respective calculation results are obtained. “3-4i” and “3 + 4i” are compared (step S15).

  In this case, among the calculation results “3-4i” and “3 + 4i”, the operation symbols in the two items are different between [−] and [+], are the same in all other cases, and [− It is determined that it is possible to combine the calculation results with a calculation symbol of “+] (minus plus)” (step S16 (Yes)).

  Then, the calculation results “3-4i” and “3 + 4i” are combined into one (step S17) and displayed on the display unit 16 as the calculation result “3- + 4i” (step S12).

  Therefore, according to the specific example described with reference to FIGS. 5A and 5B, an arbitrary mathematical expression including an arithmetic symbol [±] (or [− +]) is input, and is naturally displayed to execute an arithmetic operation. Not only can the calculation results be summarized with the same symbol [±] (or [-+]). At this time, the calculation result of the upper "(-2 + i) ^ 2" that expands the original formula "(-2 ± i) ^ 2" is "3-4i", and the lower "(-2-i) That the calculation result of “^ 2” is “3 + 4i” can be displayed in an easy-to-understand manner as the calculation result “3- + 4i” summarized by the minus plus operation symbol [− +] with the sign reversed.

  Therefore, according to the mathematical expression input / calculation function of the scientific calculator 10 having the above-described configuration, a [±] (plus or minus arithmetic symbol) key is provided as a key for inputting the mathematical formula of the key input unit 11, and the arithmetic symbol [±] is provided. In addition to being able to display a natural expression by entering a mathematical expression including a symbol, an arithmetic symbol [±] is included in the mathematical expression to be computed, of which a mathematical expression using an arithmetic symbol [+] and an arithmetic symbol [-] are used. It develops into two mathematical formulas and formulas, and each of them is processed. Then, it is determined whether two calculation results are combined into one using the [±] operation symbol, and the calculation results combined into one or two calculation results are displayed as they are. did.

  For this reason, it is possible to more easily and comfortably perform the calculation operation of the mathematical expression including the plus / minus operation symbol [±].

  Note that the processing method by the electronic calculator (scientific calculator 10) described in the above-described embodiment, that is, the method such as formula input / calculation processing shown in the flowchart of FIG. 3 is a program that can be executed by a computer. It can be stored and distributed in a recording medium such as a memory card (ROM card, RAM card, etc.), magnetic disk (floppy disk, hard disk, etc.), optical disk (CD-ROM, DVD, etc.), semiconductor memory or the like. Then, the computer (CPU 21) of the electronic computer (10) having the keyboard (11) having the [±] key reads the program stored in the recording medium into the storage device (22) and operates according to the read program. Is controlled, the mathematical expression input / calculation function including the [±] operation symbol described in the above embodiment can be realized, and the same processing by the above-described method can be executed.

  Further, program data for realizing each of the above methods can be transmitted on a communication network in the form of a program code, and the program data is fetched from a computer device (program server) connected to the communication network. In the storage device (22), the mathematical expression input / calculation function including the above-described [±] operation symbols can be realized.

  Note that the present invention is not limited to the above-described embodiment, and various modifications can be made without departing from the scope of the invention in the implementation stage. Further, the embodiments include inventions at various stages, and various inventions can be extracted by appropriately combining a plurality of disclosed constituent elements. For example, even if some constituent requirements are deleted from all the constituent requirements shown in the embodiment or some constituent requirements are combined in different forms, the problems described in the column of the problem to be solved by the invention are not solved. When the effects described in the column “Effects of the Invention” can be obtained, a configuration in which these constituent requirements are deleted or combined can be extracted as an invention.

10 ... Small electronic calculator (scientific calculator)
DESCRIPTION OF SYMBOLS 11 ... Key input part 12 ... Numerical value / arithmetic symbol key group 13 ... Function function key group 14 ... Mode setting key group 15 ... Cursor key 16 ... Display part 21 ... CPU
22 ... Storage device 23 ... RAM
23a ... Display data memory 23b ... Input buffer 23c ... Cursor pointer memory 23d ... Formula data memory 23e ... Calculation result data memory

Claims (3)

A key input unit having a [±] key;
Formula input means for inputting a formula corresponding to a user operation of the key input unit;
Formula display means for displaying the formula input by the formula input means,
Arithmetic symbol determination means for determining whether or not a [±] symbol is included in the mathematical formula input by the mathematical formula input means;
When the arithmetic symbol determination means determines that the [±] symbol is included in the mathematical expression, the mathematical expression is divided into a mathematical expression including a [+] symbol and a mathematical expression including a [−] symbol among the [±] symbols. Formula expansion calculation means for expanding into two formulas and executing calculation for each formula;
It is determined whether the calculation results of the two mathematical expressions calculated by the mathematical expression expansion calculation means are the same or only the calculation symbols at the same positions in the calculation results are different between the [+] symbol and the [−] symbol. A calculation result judging means,
When the calculation result determination means determines that the calculation results of the two mathematical expressions are the same, one calculation result is output, and only the operation symbols at the same position in the calculation results are the [+] symbol and the [− ] Calculation result output means for replacing the operation symbol at the same position with the [±] symbol and outputting the result as a single calculation result, otherwise outputting the respective calculation results, respectively. ,
An electronic computer characterized by comprising: The mathematical expression input means has sign reverse input means for inputting a symbol obtained by reversing the sign of the [±] symbol when the [±] key is continuously input in response to a user operation of the key input unit.
The electronic computer according to claim 1. A program for controlling a computer of an electronic computer having a key input unit having a [±] key and a display unit,
The computer,
Formula input means for inputting a formula corresponding to a user operation of the key input unit,
Formula display means for displaying the formula input by the formula input means on the display unit,
Arithmetic symbol determination means for determining whether or not a [±] symbol is included in the mathematical formula input by the mathematical formula input means;
When the arithmetic symbol determination means determines that the [±] symbol is included in the mathematical expression, the mathematical expression is divided into a mathematical expression including a [+] symbol and a mathematical expression including a [−] symbol among the [±] symbols. Formula expansion calculation means for expanding into two formulas and executing the calculation for each formula,
It is determined whether the calculation results of the two mathematical expressions calculated by the mathematical expression expansion calculation means are the same or only the calculation symbols at the same positions in the calculation results are different between the [+] symbol and the [−] symbol. Calculation result judgment means to
When the calculation result determination means determines that the calculation results of the two mathematical expressions are the same, one calculation result is output to the display unit, and only the operation symbol at the same position in each calculation result is [+]. If it is determined that the symbol and the [−] symbol are different, the calculation symbol at the same position is replaced with a [±] symbol, and the result is output to the display unit as a single calculation result. Calculation result output means for outputting to the display unit,
Program to function as.

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