JP5141208B2 - Prime factorization calculator - Google Patents

Description

  The present invention relates to a prime factorization computer.

  Conventionally, in an educational field such as a school, a small electronic calculator called a calculator is used for learning various calculations. In particular, it is widely used for learning of calculations such as functions and factorization, rather than normal calculation of addition, subtraction, multiplication, and division.

  Among these, an electronic computer having a function of factorizing and displaying an input expression and deepening the user's understanding of factorization is considered (for example, see Patent Document 1).

In this electronic computer, for example, when the quadratic expression “X ² + AX + B” is input and the “EXE” key is operated, the constant B is factored, and each factor when the input expression is factored based on each prime factor. The decomposition candidate values a and b and the numerical value A candidate values are associated with each other and displayed on the display unit. Then, when the factorization candidate values a and b and the numerical value A, which are considered to be correct for the input expression, are selected and confirmed by the user, the selection numerical value A and the numerical value A in the input expression correspond to each other. The correct answer of the candidate numerical values a and b is determined, and the factorized expression “(X + a) (X + b)” is displayed.
Japanese Patent Application Laid-Open No. 07-295938

  As described above, some conventional electronic computers are useful for learning factorization. On the other hand, the appearance of an electronic computer useful for learning prime factorization is desired.

  The present invention has been made in view of such a problem, and an object thereof is to provide a prime factorization computer suitable for learning prime factorization.

  The prime factorization computer according to claim 1, a display unit, decomposition target numerical display control means for displaying a numerical value to be subjected to prime factorization on the display part, and numerical value input means for inputting a numerical value in response to a user operation A prime number judging means for judging whether or not the numerical value inputted by the numerical value inputting means is a prime number; and an error notifying means for notifying an error when the prime number judging means judges that the inputted numerical value is not a prime number; When the prime number judging means judges that the inputted numerical value is a prime number, a dividing means for dividing the numeric value to be subject to the prime factorization by the inputted prime number, and a division by the dividing means If the calculated quotient is not "1", the result of division by the dividing means is displayed on the display means, and a new numerical value is input again by the numerical value input means. It is characterized by comprising a control means.

  The prime factorization computer according to claim 2 is the prime factorization computer according to claim 1, wherein when the quotient calculated by the division is not "1", the division means does not break or the quotient is " When the quotient becomes “1” as a result of division by the division means, the division quotient is repeatedly divided by the same prime number as the prime number used for the division processing until 1 ”. A calculation result display control means for displaying the calculation result of the prime factorization on the display unit using the prime number used in the division process is provided.

  The prime factorization computer according to claim 3 is the prime factorization computer according to claim 2, wherein the calculation result display control means cannot display the calculation result on the display unit in a preset font size. In this case, it is characterized by having a font change display control means for displaying the calculation result on the display unit with a small font size.

  The prime factorization computer according to claim 4 is the prime factorization computer according to claim 2, wherein the calculation result display control means displays the calculation result when the calculation result cannot be displayed on the display unit. Omitted display control means for omitting the middle and displaying on the display unit is provided.

  The prime factorization computer according to claim 5 is the prime factorization computer according to claim 2, wherein the calculation result display control means displays the calculation result when the calculation result cannot be displayed on the display unit. Scroll display control means for enabling scroll display and displaying on the display unit is provided.

  The prime factorization computer according to claim 6 is the prime factorization computer according to any one of claims 2 to 4, wherein the calculation result display control means includes the calculation result in the calculation result. The number of prime numbers to be displayed is displayed on the display unit.

  The prime factorization computer according to claim 7 is the prime factorization computer according to claim 1, wherein a predetermined command input means for inputting a predetermined command in response to a user operation, and a predetermined command is received by the predetermined command input device. And an automatic prime number input means for calculating and inputting a prime number that can be divided by dividing the numerical value to be subjected to the prime factorization.

  According to the present invention, it is possible to provide a prime factorization computer suitable for learning prime factorization.

  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 scientific calculator 10 according to an embodiment of a prime factorization computer of the present invention.

  This 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 dot matrix type LCD (Liquid Crystal Display) are provided on the front of the calculator 10. ) Is provided.

  The key input unit 11 includes a numerical value / arithmetic symbol key group 12 for inputting numerical values and various arithmetic symbols, a calculation function key group 13 for designating various function functions, memory functions, calculation modes, and the like, a display unit Cursor key 14 for performing a cursor movement operation, a data item selection operation, and the like displayed on 15, and a function key F 1 for selectively specifying various functions displayed on the menu along the lower end of display unit 15. ~ F4 are provided.

  The calculation function key group 13 includes a normal calculation mode in which the calculation result based on the input formula is calculated and displayed in the shortest process, and a learning calculation in which the calculation result is displayed through a stepwise process suitable for learning. “Learning” key 16 for switching between modes, “Prime factor” key 17 for designating a calculation mode for performing prime factorization, and “Help” key for guiding and displaying contents to be input next in the course of calculation processing 18 is provided.

  Further, the numerical / arithmetic symbol key group 12 is provided with an “EXE” key 19 for instructing confirmation of input data and selection data and execution of processing.

  The display unit 15 includes a dot matrix type liquid crystal display unit. In the scientific calculator 10 according to the present embodiment, the display unit 15 has an area in which two-byte character strings can be displayed using full-width characters.

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

  The electronic circuit of the calculator 10 includes a CPU 21 that is a computer.

  The CPU 21 controls the operation of each circuit unit in accordance with a calculator control program stored in advance in a storage device 22 such as a ROM, and performs various arithmetic processes according to key input signals from the key input unit 11 using the RAM 23 as a working memory. Run.

  In the RAM 23, a display data memory 24, a calculation mode data memory 25, a calculation data memory 26, and the like are secured.

  In the display data memory 24, the data of the input formula to be displayed on the display unit 15 and the data of the calculation result are bits of a maximum of 2 full-width characters (a maximum of 4 half-width characters) corresponding to the display area of the display portion 15. The map data is expanded and stored.

  The calculation mode data memory 25 stores normal calculation mode or learning calculation mode setting data switched by the “learning” key 16.

  The calculation data memory 26 temporarily stores various data associated with individual calculation processes such as formula data, numerical data, calculation process data, and calculation result data input by the user. For example, a calculation mode for prime factorization is provided. When set, an input numerical data memory 26a for storing a numerical value input by a key, an input prime data memory 26b for storing the prime numerical value when the numerical value input by the key is a prime number, and a prime factor decomposition. An intermediate calculation value data memory 26c or the like for storing the intermediate calculation data is secured.

  Next, the calculation function of prime factorization by the scientific calculator 10 having the above-described configuration will be described.

  FIG. 3 is a flowchart showing a prime factorization calculation process by the scientific calculator 10.

  FIG. 4 is a diagram illustrating a specific example of a display operation corresponding to an input operation accompanying the prime factorization calculation process by the scientific calculator 10.

  When it is desired to execute the prime factorization calculation in the learning mode, the “prime factor” key 17 is operated to specify the prime factorization calculation mode, and the “learning” key 16 is operated to switch to the learning mode. In the calculation mode data memory 25, calculation mode data for performing prime factorization in the learning calculation mode is stored and set.

  Then, as shown in FIG. 4A, when “7” and “2”, for example, are input as numerical values to be subjected to prime factorization, the input numerical data “72” is stored in the input numerical data memory 26a. And displayed on the upper stage of the display unit 15 (step S1).

  When the “EXE” key 19 is operated as shown in FIG. 4B in order to confirm the input of the numerical data “72”, the calculation mode data stored in the calculation mode data memory 25 is used. Then, it is determined whether the current prime factorization calculation process is executed in the learning calculation mode or the normal calculation mode (step S2).

  Here, if it is determined that the calculation is being executed in the learning calculation mode (step S2 (learning)), the numerical data “72” that has been input and displayed is moved to the lower stage of the display unit 15 and displayed. A message “prime number input” requesting the user to input a prime number for prime factorization of the numerical data “72” is displayed in the upper part of the display unit 15 (step S3).

  In the “prime number input” message display screen, as shown in FIG. 4C, for example, when a prime “2” is key-input by the user, the input key is input by a numerical key or “Help” It is determined whether or not the key 18 is input (step S4). When it is determined that the input is made with the numerical key “2” (step S4 (numerical value)), the numerical value “2” is displayed on the upper stage of the display unit 15 (step S5).

  Here, when the “EXE” key 19 is operated as shown in FIG. 4D to determine the numerical value “2” displayed as input, it is determined that the numerical value “2” is a prime number and the input prime number In addition to being stored in the data memory 26b (step S6), the numerical value “72” to be subjected to prime factorization stored in the input numerical data memory 26a is divided and decomposed by the prime “2” (step S6). S7).

  Then, it is determined whether or not the numerical value “72” is broken by the prime number “2” input by the user (step S8). If it is determined that the numerical value “72” is broken (step S8 (Yes)), the divided number is counted (+1). ) (Step S9), it is determined whether or not the quotient has become “1”, that is, whether or not prime factorization has been completed (step S10).

  In this case, the quotient is “36”, and if it is determined (No) in step S10, the current quotient “36” is continuously stored in the input prime data memory 26b as the prime factorization target. Further division processing is performed by “2” (step S11), and it is determined whether or not it is broken (step S12).

  In this case, the quotient is “18”, and when it is determined that the crack is broken in step S12 (step S12 (Yes)), the number of times divided by the same prime number “2” is repeatedly counted (twice). Later (step S9), it is determined that the quotient “18” is not “1” (step S10 (No)), and further, division processing is performed by the same prime number “2” (step S11).

  Then, the quotient in this case is “9”, and it is determined that it is broken in step S12 (step S12 (Yes)), so the number of times divided by the same prime number “2” is repeatedly counted (three times). After that (step S9), it is determined that the quotient “9” is not “1” (step S10 (No)), and is further divided by the same prime number “2” (step S11).

In this case, since it is determined that there is no crack in step S12 (step S12 (No)), the present prime factorization process stored in the midway calculated value data memory 26c with the repeated processes of steps S9 to S12. (2 ³ × 9) is displayed in the lower part of the display unit 15 as “2 ^ 3 × 9” (step S13), and the remaining numerical value “9” in which the decomposition element exists is decomposed The message “prime number input” requesting the user to input a prime number is displayed again on the upper portion of the display unit 15 in the same manner as described above (step S3).

  Here, in order to further factorize the numerical value “9”, as shown in FIG. 4E, when the prime “3” is key-input by the user and the “EXE” key 19 is operated (step S4 ( Numerical value)), the numerical value “9” is divided by the input prime number “3” (steps S5 to S7), it is determined that it is broken (step S8 (Yes)), and the number of divisions is (1). Is counted (step S9).

  Then, the quotient “3” is further divided by the same input prime “3” (step S10 (No) → S12), and the divided number is (2 times) (step S12 (Yes) → S9). Quotient = “1”, and it is determined that the prime factorization for the current input element “72” has been completed (step S10 (Yes)).

As a result, as shown in FIG. 4E, the final calculation result (2 ³ × 3 ² ) associated with the current prime factorization process is read from the intermediate calculation value data memory 26c, and “2 ^ 3 × 3 ^ 2 ”is displayed in the lower part of the display unit 15, and a message“ completion of disassembly ”is displayed in the upper part of the display unit 15 (step S14).

  On the other hand, as shown in FIG. 4B, the numerical data “72” to be prime factorized is on the prime number input request screen displayed on the display unit 15 (steps S1 to S3). (F) As shown in (G), when the prime number “5” is input and displayed and the “EXE” key 19 is operated (steps S4 (numerical value) to S6 (Yes)), it is stored in the input numerical data memory 26a. The numerical value “72” is divided by the prime “5” stored in the input prime data memory 26b (step S7).

  In this case, since it is determined that the numerical value “72” is not broken by the prime number “5” (step S8 (No)), an “element-less error” indicating that the prime number “5” does not exist in the decomposition element. The message is displayed on the upper part of the display unit 15 (step S15).

  Further, as shown in FIG. 4B, the numerical data “72” to be prime factorized is on the prime number input request screen displayed on the display unit 15 (steps S1 to S3). (H) As shown in (I), when a numerical value “4” that is not a prime number is input and displayed and the “EXE” key 19 is operated (steps S4 (numerical value), S5), the numerical value “4” is not a prime number. Is determined (step S6 (No)), a “non-prime error” message indicating that the numerical value “4” is not a prime number is displayed in the upper part of the display unit 15 (step S16).

  Further, as shown in FIG. 4B, the numerical data “72” to be subjected to prime factorization is present on the prime number input request screen displayed on the display unit 15 (steps S1 to S3). When it is determined that the “Help” key 18 is operated when the prime number to be obtained is not understood by the user (step S4 (Help)), the numerical data “72” stored in the input numerical data memory 26a. Based on the above, a decomposable prime number is automatically calculated (step S17), and a division process is executed (step S7).

  As a result, the “prime number input” message as shown in FIG. 4B or FIG. 4D is in the output state of the prime number input request for the user displayed on the display unit 15, and is input next. When a prime number that is a power decomposition element is not understood, a decomposable prime number is automatically calculated and divided by operating the “Help” key 18 each time.

  On the other hand, as shown in FIGS. 4A and 4B, the numerical data “72” to be subject to prime factorization is input, and the “EXE” key 19 is operated to confirm the numerical data “72”. (Step S1), when it is determined that the current prime factorization calculation process is being executed in the normal calculation mode based on the calculation mode data stored in the calculation mode data memory 25 ( In step S2 (calculation), a prime factorization process is performed while a prime number that is a decomposition element of the input numerical data “72” is automatically calculated without displaying a “prime number input” request message to the user. (Step S18).

In this case, only the final calculation result (2 ³ × 3 ² ) calculated by the prime factorization process is read from the midway calculation value data memory 26c, and as shown in FIG. “3 × 3 ^ 2” is displayed in the lower part of the display unit 15, and a message of “completion of disassembly” is displayed in the upper part of the display unit 15 (step S 18 → S 14).

  Next, details of the display process in the intermediate result display process (step S14) and the final result display process (step S14) in the prime factorization calculation process described with reference to FIG. 3 will be described.

  FIG. 5 is a flowchart showing display processing in prime factorization calculation processing by the scientific calculator 10.

  In this display process, first, the number of display digits of the display target data such as the calculation result to be displayed on the display unit 15 is calculated (step A1), and 1 is obtained by comparison with the number of displayable digits by the full-width character size of the display unit 15. It is determined whether or not the displayed data can be displayed in a row (step A2).

  Here, when it is determined that the number of display digits of the data to be displayed is the number of digits that can be displayed in one line (step A2 (Yes)), for example, in FIG. 4 (A) to FIG. 4 (I). As shown, the displayed data is displayed on the display unit 15 in a single-line display of full-width character size (step A3).

  On the other hand, if it is determined in step A2 that the number of display digits of the data to be displayed to be displayed on the display unit 15 is not within the number of digits that can be displayed by one-byte character size in the display unit 15 (step S2). A2 (No)), the character size (font size) of the displayed data is changed to a half-width size (step A4), and it is within the number of digits that can be displayed on the display unit 15 by the two-line display with the half-width character size. (Step A5).

  Here, when it is determined that the display data after the change to the half-width character size is within the number of digits that can be displayed on the display unit 15 by two-line display (step A5 (Yes)), the display data Is displayed on the display unit 15 in two lines (step A6).

  If it is determined that the displayed data after the change to the half-width character size does not fit within the number of digits that can be displayed on the display unit 15 even if it is displayed in two lines (step A5 (No)), the displayed data is displayed. The data is rewritten into an abbreviated form such as omitting the middle part of the series of displayed data and displayed on the display unit 15 (step A7).

  FIG. 6 is a diagram showing a display example of calculation result data accompanying the final result display process (step S14) in the prime factorization calculation process by the scientific calculator 10.

  For example, as shown in FIG. 6A, when the numerical data to be subjected to prime factorization is given as a large numeric value “200... 130” with a large number of digits, it is calculated by the prime factorization calculation process in FIG. If it is determined that the result data “2 × 3 ×... × 29 × 31” cannot be displayed in a single-byte character size (step A1, A2 (No)), the font size of the calculation result data is The size is changed to a half-width size (step A4).

  Then, it is determined that the calculation result data changed to the half-width size can be displayed in two lines on the display unit 15 (step A5 (Yes)), and the numerical data “200... 130” that is the target of the prime factorization. Is displayed in the upper part of the display unit 15, the calculation result data “2 × 3 ×... × 29 × 31” changed to the half-width size is displayed in two lines and displayed in the lower part of the display unit 15. (Step A6).

  For example, as shown in FIG. 6B, large numerical data having the same number of digits as described above is given as an object of prime factorization, and the result data “2 × 3” calculated by the prime factorization calculation process in FIG. When it is determined that one-line display with a double-byte character size of x ... x29x31 "is impossible (steps A1 and A2 (No)), the font size is changed to a single-byte size (step A4) When it is determined that the two-line display on the display unit 15 of the calculation result data is impossible even with the half-size font size (step A5 (No)), the font size is a full-size size. The calculation result data in the middle is omitted, and the prime number “11” is added to the end so that it falls within the range of one line display and is displayed on the display unit 15. That (step A7).

  In the display processing in FIG. 5, when the calculation result data cannot be displayed on the display unit 15 (step A1, A2 (No)), the font size of the calculation result data is changed to a half-size size. Display processing is performed so that two lines are displayed (steps A4, A5 (Yes) → A6), and the font size is omitted as it is (steps A4, A5 (No) → A7). doing.

  On the other hand, the calculation result data that does not fit in the one-line display can be confirmed by scroll display without performing the two-line display process or the abbreviated display process by changing the font size.

  Therefore, according to the calculation function of prime factorization by the scientific calculator 10 having the above-described configuration, when numerical data to be subjected to prime factorization is input in the learning mode, an input request for a prime number to prime the numeric data is displayed. The When the user inputs numerical data in response to the input request for the prime number, it is determined whether the input numerical data is a prime number. If it is determined that the input is a prime number, the numerical data to be decomposed is input. Divide by a prime number. When it is determined that the division process causes cracking, the number of division processes based on the input prime number is counted. When the quotient calculated by the division process is not “1”, until the division number is not further broken by the same prime number. Repeated division processing. Then, when the crack is not broken, the result of the prime factorization so far is displayed and the input request for the prime number is displayed again. Thereafter, when the quotient calculated by the division process becomes “1”, the calculation result data subjected to prime factorization is displayed based on the prime number input so far and the number of division processes by the prime number. It should be noted that even if it is determined that the numerical data input by the user in response to the input request for the prime number is not a prime number, or even if it is determined that it is a prime number, it is determined that the numerical data to be decomposed is not broken by the division process. If this happens, it will be displayed and notified as an error.

  As a result, the user (learner) can input an element for prime factorization of arbitrary numerical data and proceed with the decomposition process, which can greatly help to learn the prime factorization. .

  Also, according to the factoring calculation function of the scientific calculator 10 having the above-described configuration, when the calculation result data cannot be displayed on the display unit 15, the font size of the calculation result data is reduced to two lines. The display is displayed, or the middle is omitted and displayed together with the number of prime numbers, or the display is displayed so that the whole can be confirmed by scrolling.

  As a result, for example, even in the scientific calculator 10 in which the display area of the display unit 15 is small and the number of displayable digits is small compared to a graph scientific calculator capable of displaying a graph, the calculation result data of the prime factorization is displayed in an easily viewable manner. Can be made.

  Further, according to the prime factorization calculation function by the scientific calculator 10 having the above-described configuration, when the “Help” key 18 is operated in a state where the input request for the prime number is displayed, the numerical value to be subject to prime factorization at that time A prime number for decomposing data is automatically calculated and input.

  As a result, even if the user (learner) inputs the prime number that is an element of the prime factorization while thinking by himself / herself, if the prime number to be input is not known, the “Help” key 18 is operated to easily determine the next prime number. It is possible to input automatically and to proceed with the factoring process.

  Note that the present invention is not limited to the above-described embodiments, and various modifications can be made without departing from the scope of the invention at the stage of implementation. Further, each of the embodiments includes 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 elements are deleted from all the constituent elements shown in each embodiment or some constituent elements are combined in different forms, the problems described in the column of the problem to be solved by the invention If 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.

The front view which shows the external appearance structure of the scientific calculator 10 which concerns on embodiment of the prime factorization computer of this invention. FIG. 2 is a block diagram showing a configuration of an electronic circuit of the scientific calculator 10. 4 is a flowchart showing a prime factorization calculation process by the scientific calculator 10. The figure which shows the specific example of the display operation according to input operation accompanying the prime factorization calculation process by the said scientific calculator 10. FIG. 4 is a flowchart showing display processing in prime factorization calculation processing by the scientific calculator 10. The figure which shows the example of a display of the calculation result data accompanying the final result display process (step S14) in the prime factorization calculation process by the said scientific calculator 10. FIG.

Explanation of symbols

DESCRIPTION OF SYMBOLS 10 ... Scientific calculator 11 ... Key input part 12 ... Numerical value / arithmetic symbol key group 13 ... Function function key group 14 ... Cursor key 15 ... Dot matrix type liquid crystal display part 16 ... "Learning" key 17 ... "Prime factor" key 18 ... ""Help" key 19 ... "EXE" key 21 ... CPU
22 ... Storage device 23 ... RAM
24 ... display data memory 25 ... calculation mode data memory 26 ... calculation data memory 26a ... input numerical data memory 26b ... input prime data memory 26c ... intermediate calculation value data memory

Claims (7)

A display unit;
Decomposition target numerical value display control means for causing the display unit to display numerical values to be subjected to prime factorization;
A numerical value input means for inputting a numerical value in response to a user operation;
A prime number judging means for judging whether or not the numerical value inputted by the numerical value inputting means is a prime number;
Error notifying means for notifying an error when it is determined by the prime number determining means that the input numerical value is not a prime number;
Division means for dividing the numerical value to be subjected to the prime factorization by the input prime number when the input numerical value is determined to be a prime number by the prime number determination means;
If the quotient calculated by the division by the division means is not "1", the division result by the division means is displayed on the display means, and the control means for inputting a new numerical value again by the numerical value input means; ,
A prime factorization computer characterized by comprising: When the quotient calculated by the division is not “1”, the division means performs division of the quotient by the same prime number as the prime number used in the division process until it is not broken or the quotient becomes “1”. It has repetitive calculation means to repeat,
When the quotient is “1” as a result of the division by the dividing means, a calculation result display control means for displaying the calculation result of the prime factorization on the display unit using the prime number used for the division processing is provided. The prime factorization computer according to claim 1, wherein:   The calculation result display control means, when the calculation result cannot be displayed on the display unit with a preset font size, the font change display control means for displaying the calculation result on the display unit with a small font size. The prime factorization computer according to claim 2, wherein:   The calculation result display control means includes an abbreviated display control means for displaying the calculation result on the display unit while omitting the calculation result when the calculation result cannot be displayed on the display unit. The prime factorization computer according to claim 2.   The calculation result display control means includes scroll display control means for allowing the calculation result to be scroll-displayed and displayed on the display section when the calculation result cannot be displayed on the display section. Item 3. The prime factorization computer according to Item 2.   5. The prime factor according to claim 2, wherein the calculation result display control unit displays the calculation result together with the number of primes included in the calculation result on the display unit. 6. Disassembly calculator. Predetermined command input means for inputting a predetermined command in response to a user operation;
Automatic prime number input means for calculating and inputting a prime number that can be divided by dividing a numerical value to be subjected to the prime factorization when a predetermined command is input by the predetermined command input means;
The prime factorization computer according to claim 1, further comprising:

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