JP5724617B2 - Matrix calculation device and program - Google Patents

Description

  The present invention relates to a matrix calculation apparatus for performing basic transformation of a matrix and a control program therefor.

  Some conventional electronic computing devices have a matrix calculation function for performing calculation by inputting matrix data in addition to the usual four arithmetic calculation functions.

  In a conventional electronic computing device having this matrix calculation function, determinants such as products, sums, differences, etc. of matrix data by operation of operator keys together with input of arbitrary matrix data consisting of a plurality of rows and columns When the calculation is instructed and the execution of the calculation is instructed, the calculation by the matrix elements included in the respective matrix data is executed in a predetermined order, and the matrix data of the answer is calculated and displayed.

  Then, for example, when a matrix A and a matrix B of 2 rows and 2 columns are input and execution of multiplication between the respective matrices is instructed, the sequential multiplication is performed for each combination of the respective elements of the matrix A versus the matrix B. In the process of calculating the matrix product, each pair of elements is identified and displayed in turn by reversal or color change, and the solution of each matrix is calculated step by step and displayed in the solution matrix each time. A matrix calculation device that can easily learn in what combination or order the matrix elements between the matrix data are calculated is considered (for example, see Patent Document 1).

Japanese Patent Application Laid-Open No. 2001-075926

  On the other hand, some conventional matrix computing devices can perform basic matrix transformation (row operation and column operation) in addition to matrix multiplication and inverse matrix computation. It is possible to obtain a solution of the simultaneous equations by forming a matrix of equations of row × (n + 1) columns and transforming this matrix into a unit matrix type while performing basic deformation.

  The unit matrix type means a state in which the left n × n matrix or the right n × n matrix is a unit matrix in the matrix data of the equation of n rows × (n + 1) columns.

  However, in order to perform basic deformation of a row or a column in such a conventional matrix calculation device, it is necessary not only to select a row operation function or a column operation function for performing the basic deformation by key operation, It is necessary to specify the row or column that is the target of the operation or column operation by inputting with a numeric key, and the calculation must be advanced. This is very troublesome and the calculation process is difficult to understand.

  The present invention has been made in view of such a problem, and an object of the present invention is to provide a matrix calculation device and a control program for the matrix calculation device that can easily and easily perform basic matrix transformation operations.

  The matrix calculation device according to the present invention includes a matrix display means for displaying the matrix data in which the elements of the matrix are arranged on the touch display unit by adding a row number indicating the row position and a column number indicating the column position, A row operation list display unit that displays a list of row operation functions related to the matrix data together with the matrix data displayed on the touch display unit by the matrix display unit, and a row operation function displayed as a list by the line operation list display unit Included in the row operation expression display means for displaying on the touch display section a line operation expression corresponding to the line operation function that has been touch-operated in response to the touch operation, and the line operation expression displayed by the line operation expression display means Line symbol identification display means for identifying and displaying the line symbol for each line symbol, and the row number displayed on the touch display unit together with the matrix data by the matrix display means. In response to the touch operation, the line number identification display means for identifying and displaying the touched line number in the same form as the line symbol identification form corresponding to the same line number identified and displayed by the line symbol identification display means A line operation execution means for executing a line operation process corresponding to the line operation expression displayed by the line operation expression display means, and the touch-type display unit according to the line operation process executed by the line operation execution means And a change element identification display means for identifying and displaying the changed element when the element of the matrix data displayed in is changed.

  ADVANTAGE OF THE INVENTION According to this invention, the matrix calculation apparatus which can perform the basic deformation | transformation operation of a matrix easily and intelligibly, and its control program can be provided.

The block diagram which shows the structure of the electronic circuit of the electronic calculation apparatus provided with the matrix calculation function which concerns on embodiment of the matrix calculation apparatus of this invention. The flowchart which shows the matrix basic deformation | transformation calculation process (the 1) of the said electronic computer. The flowchart which shows the matrix basic deformation | transformation calculation process (the 2) of the said electronic computer. The flowchart which shows the Swap process accompanying the matrix basic deformation | transformation calculation process (the 1) of the said electronic computer. The flowchart which shows the * Row process accompanying the matrix basic deformation | transformation calculation process (the 1) of the said electronic computer. The flowchart which shows the Row + process accompanying the matrix basic deformation | transformation calculation process (the 1) of the said electronic computer. The figure which shows the display operation (the 1) of the matrix data accompanying the matrix basic deformation | transformation arithmetic processing of the said electronic computer. The figure which shows the display operation (the 2) of the matrix data accompanying the matrix basic deformation | transformation arithmetic processing of the said electronic computer. The figure which shows the display operation (the 3) of the matrix data accompanying the matrix basic deformation | transformation arithmetic processing of the said electronic computer. The figure which shows the display operation (the 4) of the matrix data accompanying the matrix basic deformation | transformation arithmetic processing of the said electronic computer. The figure which shows the display operation of other embodiment (the 1) of the matrix data produced | generated with the matrix basic deformation | transformation calculation process of the said electronic computer. The figure which shows the display operation of other embodiment (the 2) of the matrix data produced | generated with the matrix basic deformation | transformation calculation process of the said electronic computer.

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

  FIG. 1 is a block diagram showing a configuration of an electronic circuit of an electronic computing device having a matrix computing function according to an embodiment of the matrix computing device of the present invention.

  This electronic computing device includes a control unit (CPU) 11 formed of a computer or the like.

  The control unit (CPU) 11 includes key input data input from the key input unit 12 and a touch pen P input via the position detection circuit 15 from the tablet 14 provided on the display screen of the liquid crystal display unit 13. In response to the touch position data, the system program stored in advance in the ROM 16 is started, or the computer control program stored in the external recording medium 20 is read by the recording medium reading unit 19 and started. Alternatively, the transmission control unit 21 activates a computer control program received from another computer terminal via a communication network, and controls the operation of each part of the circuit using the RAM 17 as a work memory.

  The control unit (CPU) 11 is connected to the key input unit 12, the liquid crystal display unit 13, the tablet 14, the position detection circuit 15, the ROM 16, the RAM 17, the recording medium reading unit 19, and the transmission control unit 21. The display unit 13 is connected via a display drive circuit 18.

  The key input unit 12 includes a data input key 12a, a “mode” key 12b, an “input” key 12c, a “setting” key 12d, an “execute” key 12e, and up / down / left / right cursor keys “↑” 12g, “↓”. 12h, “←” 12i, “→” 12j, and the like.

  The data input key 12a includes a character / symbol key group such as a numeric keypad, alphabet keys, operator keys, and function keys.

  The “mode” key 12b selects and sets various operation modes such as a matrix mode in which arbitrary matrix data is input and calculation processing is performed, and a normal calculation mode in which arbitrary calculation formulas such as four arithmetic calculations are input and calculation processing is performed. When operated.

  When the matrix mode is set, normal matrix calculation mode for displaying the solution matrix by multiplying, adding or subtracting the arbitrarily input matrix, and the multiple simultaneous equations input arbitrarily to the matrix data. A matrix basic deformation calculation mode for transforming the matrix part corresponding to the left or right side of the equation into a unit matrix and calculating and displaying the solution of the equation can be selected while performing basic deformation according to the user operation. is there.

  The “input” key 12c is operated when determining the contents of the input data or formula in numerical input of the matrix data, calculation formula, function formula, and the like.

  The “setting” key 12d is operated when the matrix mode (normal matrix calculation mode / matrix basic deformation calculation mode /...) Is selected and set.

  The “execute” key 12e is operated when instructing activation of the selected operation mode or start of calculation processing.

  The cursor keys “↑” 12g, “↓” 12h, “←” 12i, and “→” 12j are operated when performing selection of selected data, feeding operation, and movement operation of the cursor Cu, respectively.

  The tablet 14 is provided on the display screen of the liquid crystal display unit 13 so as to generate a voltage signal corresponding to the position touched by the pen P, and the voltage signal corresponding to the touch position output from the tablet 14. Based on this, the coordinates corresponding to the display screen are detected by the position detection circuit 15, and the content of the operation is determined by the control unit (CPU) 11 in accordance with the touch position coordinates.

  The ROM 16 stores in advance system program data for managing the entire processing in the electronic circuit of the electronic computing device, and various kinds of functions such as a normal matrix calculation mode (not shown) and a matrix basic deformation calculation mode shown in FIGS. 2A and 2B. Subprogram data for managing the operation mode is also stored in advance.

  The RAM 17 includes a display data memory 17a, a matrix data memory 17b, a calculation data memory 17c, a mode data memory 17d, and a work memory 17g.

  Display data to be displayed on the liquid crystal display unit 13 is stored in the display data memory 17a as bitmap pattern data.

  In the matrix data memory 17b, the matrix data 17b1 composed of each matrix element inputted in the matrix mode and its solution, the row operation formula 17b2 of the basic modification relating to the row, and the row number color indicating the display color of each row number of the matrix data 17b1 Information 17b3, matrix element color information 17b4 indicating the display color of each matrix element of the matrix data 17b1, and the like are stored.

  As the row operation expression 17b2, a row operation expression Swap: [Swap Row m⇔Row n] for exchanging two rows, a row operation expression for multiplying a certain row by a constant other than 0 * Row: [k × Row m → Row m] Row operation formula to add another row to a row Row +: [Row m + Row n → Row n], Row operation formula to add a constant multiple of another row to a row * Row +: [k × Row m + Row n → Row n] is stored.

  The calculation data memory 17c stores calculation data and calculation result data in various calculation modes.

  The mode data memory 17d stores data indicating the operation mode currently activated in the control unit (CPU) 11.

  The work memory 17g temporarily stores data input / output by the control unit (CPU) 11 in accordance with control processing of various operation modes.

  Next, the operation of the matrix calculation function of the electronic calculation apparatus having the above configuration will be described.

  FIG. 2A is a flowchart showing matrix basic deformation calculation processing (part 1) of the electronic computing device.

  FIG. 2B is a flowchart showing matrix basic deformation calculation processing (part 2) of the electronic computing device.

  FIG. 3A is a flowchart showing a Swap process accompanying the matrix basic deformation calculation process (part 1) of the electronic computing device.

  FIG. 3B is a flowchart showing * Row processing accompanying matrix basic deformation calculation processing (part 1) of the electronic computing device.

  FIG. 3C is a flowchart showing a Row + process accompanying the matrix basic deformation calculation process (part 1) of the electronic computing device.

  FIG. 4 is a diagram showing a matrix data display operation (part 1) accompanying the matrix basic deformation calculation process of the electronic computing device.

  FIG. 5 is a diagram showing a matrix data display operation (part 2) accompanying the matrix basic deformation calculation processing of the electronic computing device.

  FIG. 6 is a diagram showing a matrix data display operation (part 3) accompanying the matrix basic deformation calculation processing of the electronic computing device.

  FIG. 7 is a diagram showing a matrix data display operation (part 4) accompanying the matrix basic deformation calculation processing of the electronic computing device.

The matrix basic deformation calculation mode is set according to the user operation of the “setting” key 12d of the key input unit 12, and for example, as shown in FIG. 4A, an arbitrary simultaneous equation [5Y + Z = 3] [−2X + Y + 2Z = −1] After [X + 2Y−Z = 3] is input, when the “execute” key 12e is operated to calculate the solution of the input ternary simultaneous equations, as shown in FIG. The simultaneous equations are defined by the unknown coefficients [0, 5, 1] [-2, 1, 2] [1, 2, -3] and the corresponding right integers [3] ] [-1] [3] are extracted and displayed on the display unit 13 as a matrix display screen G converted into matrix data 17b1 of 3 rows and 4 columns, as shown in FIG. 4B.
In this matrix display screen G, Cu is a reverse cursor, and the standard display color of each character is black.

  In this matrix display screen G (see FIG. 4B), for example, when the row number “1” is touched and designated (step S1, S2 (Yes)) as shown by a circle t1, FIG. C), the designated row number “1” is displayed in red and stored in the matrix data memory 17b as row number color information 17b3, and the row operation is performed along the lower end of the matrix display screen G. A row operation menu M for selecting the expression [Swap] [* Row] [Row +] [* Row +] 17b2 is displayed (step S3).

  Here, in order to derive a solution of the simultaneous equations by transforming the matrix data 17b1 on the matrix display screen G into a unit matrix type, a line operation equation [ When * Row +] is touched and selected (steps S4 (Yes), S5 to S7 (No), S8 (Yes)), as shown in FIG. 4D, the selected row operation formula [k × Row m + Row n → Row n] (adding a constant k times that of another row m to row n) is displayed in place of the row operation menu M, and an input message “k?” For the constant k is displayed. At this time, the row symbol “m” of the row operation formula [k × Row m + Row n → Row n] is displayed in red corresponding to the designated row number “1”, and the row symbol “n” is blue. It is displayed (step S9).

  Here, according to the input message “k?” Of the constant k, for example, in order to set the matrix element “2” in the second row and the third column to “0” in accordance with the row operation between the first and second rows, FIG. E) When [-] [2] is input by the data input key 12a and the “execute” key 12e is operated (step S9), the input is multiplied by the constant k (= −2) times. The selection message “m?” In the row “m” is displayed in red (step S10).

  Here, for example, when the row number “2” is touched and designated as indicated by a circle t3 (steps S11 and S12 (Yes)), the display is already displayed in red as shown in FIG. 5 (F). The assigned line number “1” is returned to the normal color black, and the newly designated line number “2” is displayed in the same red color as the line symbol “m” (step S13).

  On the other hand, as indicated by the circle t4 in FIG. 5E, the row symbol “n” displayed in blue in the currently displayed row operation formula [k × Row m + Row n → Row n] is touched and designated. Then (steps S11, S12 (No), S14 (Yes)), as shown in FIG. 5G, the selection message “n?” For the row “n” in the row operation formula is displayed in blue. (Step S15).

  Here, for example, as indicated by a circle t5, when the same row number “1” as the row number “1” corresponding to the red row symbol “m” is touched and designated (Steps S16 to S18) (Yes)), as shown in FIG. 5 (H), the line number “1” that has already been displayed in red is displayed in a mixed color with blue, which is the display color of the line symbol “n” (step). S19).

  On the other hand, when the line number “2” different from the line number “1” corresponding to the red line symbol “m” is touched and designated as indicated by a circle t6 in FIG. (Steps S16, S17 (Yes), S18 (No)), as shown in FIG. 6 (I), the designated line number “2” is the selection message “n?” Of the line symbol “n”. The same blue color is displayed (step S20).

  Thus, the constant k (= −2) of the selected row operation formula [k × Row m + Row n → Row n] is input, and the row number “1” is assigned to the red row symbol “m”. In a state where the line number “2” is displayed in blue corresponding to the blue line symbol “n” (see FIG. 6I), the line operation execution button is displayed as indicated by a circle t7. When [OK] is touched and specified (steps S21 and S22 (Yes)), the row operation formula [k × Row m + Row n → Row n] (k = −2) (m: 1) (n: 2 ) Is executed. Then, as shown in FIG. 6 (J), the changed elements (2 rows, 2 columns, 3 columns, 4 columns [-9, 0, -7]) in the matrix data 17b1 are displayed in blue-purple. At the same time, each line number is returned to the standard black color and displayed (step S23).

  On the other hand, when the row operation formula [Swap] is touched and selected in the row operation menu M (see FIG. 4C) displayed along the lower end of the matrix display screen G (steps S4 and S5 (Yes). 3) (S), the row operation expression [Swap Row m⇔Row n] (two rows are exchanged) is displayed instead of the row operation menu M. At this time, the row symbol “m” of the row operation formula [Swap Row m⇔Row n] is displayed in red, the row symbol “n” is displayed in blue, and the row “m” targeted for the row operation is displayed. "Selected message" m? "Is displayed in red (step A1).

  Thereafter, as described above, when one of the replacement target line numbers is touched and specified in response to the selection message “m?” (Red) of the line “m”, the specified line number is displayed in red. (Steps S11 to S13).

  Further, when the row symbol “n” displayed in blue in the currently displayed row operation formula [Swap Row m⇔Row n] is touched and designated (step S14 (Yes)), the row in the row operation formula is displayed. The “n” selection message “n?” Is displayed in blue (step S15).

  Here, in response to the selection message “n?” (Blue) of the row “n”, when the other row number to be exchanged is touched and designated, the designated row number is displayed in blue (step S16). , S17 (Yes), S18 (No), S20).

  Thus, one row number designated corresponding to the red row symbol “m” of the selected row operation formula [Swap Row m⇔Row n] is displayed in red, and the blue row symbol “n” is displayed. When the row operation execution button [OK] is touched and specified in a state where the other row number specified corresponding to "" is displayed in blue (step S21, S22 (Yes)), the row operation formula A process of replacing each element between rows according to [Swap Row m RowRow n] is executed. Then, the changed element in the matrix data 17b1 is displayed in a blue-purple color, and each row number is returned to the standard color black and displayed (step S23).

  Further, when a row operation formula [* Row] is touched and selected in the row operation menu M (see FIG. 4C) displayed along the lower end of the matrix display screen G (steps S4, S6 ( Yes)), the process proceeds to the * Row process in FIG. 3B (step SB), and the row operation formula [k × Row m → Row m] (multiplying a certain row by a constant other than 0) is displayed instead of the row operation menu M. At the same time, the input message “k?” Of the constant k is displayed. Also in this case, the row symbol “m” of the row operation formula [k × Row m → Row m] is displayed in red (step B1).

  Here, when the value of the constant k is input by the data input key 12a in accordance with the input message “k?” Of the constant k (step B1), the target row “m” to be multiplied by the input constant k is input. Is displayed in red (step B2).

  When the line number is touched and designated in response to the selection message “m?” (Red) of the line “m”, the designated line number is displayed in red (steps B3 to B5).

  In this way, the value of the constant k of the selected row operation formula [k × Row m → Row m] is input, and the row number designated corresponding to the red row symbol “m” is displayed in red. When the row operation execution button [OK] is touched and specified in this state (step B6 (Yes)), calculation according to the row operation expression [k × Row m → Row m] is executed. Then, the changed element in the matrix data 17b1 is displayed in a blue-purple color, and each row number is returned to the standard color black and displayed (step S23).

  Further, in the row operation menu M displayed along the lower end of the matrix display screen G (see FIG. 4C), when a row operation expression [Row +] is touched and selected (steps S4, S7 (Yes) 3) (Step SC), the row operation formula [Row m + Row n → Row n] (add another row to a certain row) is displayed instead of the row operation menu M. . At this time, similarly to the above, the row symbol “m” of the row operation formula [Row m + Row n → Row n] is displayed in red, the row symbol “n” is displayed in blue, and The selection message “m?” In one row “m” is displayed in red (step C1).

  Thereafter, in response to the selection message “m?” (Red) of the row “m”, when one of the row numbers to be subjected to the row operation is touched and designated, the designated row number is displayed in red. (Steps S11 to S13).

  If the row symbol “n” displayed in blue in the currently displayed row operation formula [Row m + Row n → Row n] is touched and specified (step S14 (Yes)), the row in the row operation formula is displayed. The “n” selection message “n?” Is displayed in blue (step S15).

  Here, in response to the selection message “n?” (Blue) of the row “n”, when the other row number to be subjected to the row operation is touched and designated, the designated row number is displayed in blue. (Steps S16, S17 (Yes), S18 (No), S20).

  Thus, one row number designated corresponding to the red row symbol “m” of the selected row operation formula [Row m + Row n → Row n] is displayed in red, and the blue row symbol “n” is displayed. When the row operation execution button [OK] is touched and specified in a state where the other row number specified corresponding to "" is displayed in blue (step S21, S22 (Yes)), the row operation formula Addition processing of each element between rows corresponding to [Row m + Row n → Row n] is executed. Then, the changed element in the matrix data 17b1 is displayed in a blue-purple color, and each row number is returned to the standard color black and displayed (step S23).

  In this way, the row operation menu M [Swap] [* Row] [Row +] [* Row +] displayed along the lower end of the matrix display screen G is selected by touch operation, and the operation target row number is touched. By performing matrix transformation corresponding to the simultaneous equations while performing calculation processing in accordance with the selected row operation formula specified by the operation (steps S1 to S23), FIG. As shown in FIG. 4, when each element in any row in the same matrix data is changed to match the unit matrix type (step S24 (Yes)), all the corresponding rows (here, the second row) And the line number are displayed in green (step S25).

  After that, by repeatedly executing the matrix data basic deformation process according to the user touch operation as described above, as shown in FIG. 7 (L), all the rows of the matrix data are changed to the unit matrix type. When all elements and their row numbers are displayed in green (steps S1 to S25), each element [-1] [1] [-2] in the fourth column corresponding to the right side of the ternary simultaneous equation As shown in FIG. 7M, the solutions [X = −1] [Y = 1] [Z = −2] of the simultaneous equations are displayed on the display unit 13.

  Therefore, according to the matrix calculation function of the electronic computer having the above-described configuration, for example, when an n-ary simultaneous equation including n unknowns is input on the left side of the equation, n unknowns on the left side of each equation of the simultaneous equation are input. N × n matrix data composed of n × n elements corresponding to the coefficients and the elements on the right side of each equation are generated, and each row number and column number are added to display the touch-type display. In addition to being displayed on the section 13, a line operation type menu M for basic transformation of the matrix data is also displayed. When an arbitrary row operation formula is touch-selected in accordance with a user operation, the selected row operation formula is displayed with the matrix data in a different display color for each row symbol included in the formula, and the target of the row operation When the line number to be touched is designated, the designated line number is identified and displayed in the same display color as the display color for each line symbol.

  When a row operation according to the row operation expression selected and displayed is executed, the elements in the matrix data changed in accordance with the row operation are displayed in a blue-purple color, and any row is displayed. Is changed to match the n × n unit matrix, the row number and each element of the corresponding row are changed to green and displayed. Thereafter, when all the row numbers and all the elements of the matrix data are changed to green by repeating the row operation, the n-element simultaneous system is based on n elements displayed in the (n + 1) th column of each row of the matrix data. The n unknown solutions included in the equation are displayed.

  As a result, the basic transformation process according to the row operation of the matrix data can be executed while clearly identifying and displaying the corresponding row operation formula and the target row and element according to the touch operation of the user. The elements changed by operation and the rows changed to unit matrix type are further identified and displayed, so that the basic transformation operation of the matrix can be easily and easily understood, and especially the learning to find the solution of simultaneous equations is executed effectively Is possible.

  In the embodiment, the matrix data corresponding to the input n-ary simultaneous equations is generated as integral matrix data of n rows × (n + 1) columns as shown in FIGS. The row operation is performed so that each element of the n × n matrix on the side where n unknowns exist in the equation becomes a unit matrix.

  On the other hand, as shown in FIG. 8, the left side A on the side where n unknowns exist in each equation of the n-ary simultaneous equations (see FIG. 4A) and its right side B = A matrix data that is generated as matrix data that becomes an equation of a matrix in B format, and the matrix data of the entire A and B is basically transformed so that the matrix data (n × n) on the left side A side becomes a unit matrix. Also good.

  FIG. 8 is a diagram showing a display operation of another embodiment (part 1) of matrix data generated in association with matrix basic deformation calculation processing of the electronic computer.

  On the contrary, as shown in FIG. 9, the left side A on the side where n unknowns exist in each equation of the n-ary simultaneous equations (see FIG. 4A) and the right side B Thus, the matrix data of A and B as a whole is generated so that the matrix data (n × n) on the right-hand side B side is a unit matrix. It is good also as composition to do.

  FIG. 9 is a diagram showing a display operation of another embodiment (part 2) of matrix data generated in association with matrix basic deformation calculation processing of the electronic computer.

  In the above embodiment, for the positions of the constant k and the line symbols m and n in the line operation expression displayed along the lower end of the matrix display screen G, the corresponding numerical value input and line number are touch-designated. In this case, the input constant value or line number may be rewritten and displayed.

  Further, in the matrix basic deformation calculation process of the embodiment, as shown in FIGS. 4 to 7, the matrix display screen G... That is sequentially changed and displayed according to the row operation process corresponding to the user operation is displayed on the screen. Every time a change is displayed, it is recorded as history data G1, G2,. Then, the recorded history data G1, G2,... May be sequentially redisplayed from the leading matrix display screen G1, thereby enabling the basic deformation operation of the matrix to be learned more effectively.

  Furthermore, in the matrix basic deformation calculation processing in each of the embodiments, the case where the given matrix data is subjected to the basic deformation by performing the row operation has been described. By configuring, it is possible to execute the column operation process while clearly identifying and displaying the corresponding column operation formula and the target column number, element, etc. according to the user's touch operation, and changed by the column operation It is of course possible to easily and easily perform basic matrix transformation operations by further identifying and displaying elements and columns changed to unit matrix type.

  The operation method of the electronic computing device described in each of the above embodiments, that is, the matrix basic deformation calculation process shown in the flowcharts of FIGS. 2A and 2B, the SWAP process associated with the matrix basic deformation calculation process shown in the flowchart of FIG. 3A, Each method such as the * Row process associated with the matrix basic deformation operation process shown in the flowchart of FIG. 3B and the Row + process associated with the matrix basic deformation operation process shown in the flowchart of FIG. 3C can be executed by a computer. It can be stored and distributed in an external recording medium 20 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. The computer 11 of the electronic computing device having the touch panel display unit 13 reads the program recorded in the external recording medium 20 into the storage device 16 (17), and the operation is controlled by the read program. Thus, the matrix basic deformation calculation function corresponding to the touch operation described in each of the embodiments described above can be realized, and the same processing by the above-described method can be executed.

  The program data for realizing the above method can be transmitted on a communication network (public line) in the form of a program code, and the transmission control unit 21 connected to the communication network can transmit the program data. The matrix basic deformation calculation function corresponding to the touch operation described above can also be realized by taking in the computer 11 of the electronic calculation apparatus including the touch panel type display unit 13.

  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.

  Hereinafter, the invention described in the scope of claims of the present application will be appended.

[1]
Matrix display means for displaying the matrix data in which each element of the matrix is arranged on the touch-type display unit by adding a row number indicating the row position and a column number indicating the column position;
Row operation list display means for displaying a list of row operation functions related to the matrix data together with the matrix data displayed on the touch display unit by the matrix display means;
A line operation expression display means for displaying on the touch display section a line operation expression corresponding to the line operation function that has been touch-operated in response to a touch operation on the line operation function displayed as a list by the line operation list display means;
Line symbol identification display means for identifying and displaying line symbols included in the line operation expression displayed by the line operation expression display means for each line symbol;
In response to a touch operation on the row number displayed on the touch-type display unit together with the matrix data by the matrix display means, the touched row number corresponds to the same row number identified and displayed by the row symbol identification display means. Line number identification display means for identifying and displaying in the same form as the identification form of the line symbol,
A line operation execution means for executing a line operation process corresponding to the line operation expression displayed by the line operation expression display means;
Changed element identification display means for identifying and displaying the changed element when the element of the matrix data displayed on the touch-type display unit is changed according to the line operation processing executed by the line operation execution means. When,
A matrix calculation apparatus comprising:

[2]
The change element identification display means includes
When each element of any row of the matrix data displayed on the touch-type display unit is changed to a unit matrix type in accordance with the row operation processing executed by the row operation execution means, the unit matrix type To identify and display all the elements in the changed row,
The matrix calculation apparatus according to [1], wherein

[3]
When the touched line number is identified and displayed by the line number identification display means, the line number is displayed in the same identification form at the position of the line symbol included in the line operation formula corresponding to the line number. Provided with specified line number display means to rewrite and display,
The matrix calculation apparatus according to [1] or [2], wherein

[4]
Column operation list display means for displaying a list of column operation functions related to the matrix data together with the matrix data displayed on the touch display unit by the matrix display means;
Column operation expression display means for displaying a column operation expression corresponding to the column operation function that is touch-operated in response to a touch operation on the column operation function displayed in a list by the column operation list display means on the touch display section,
Column symbol identification display means for identifying and displaying the column symbol included in the column operation expression displayed by the column operation expression display means for each column symbol;
In response to a touch operation on the column number displayed on the touch-type display unit together with the matrix data by the matrix display means, the touched column number corresponds to the same column number identified and displayed by the column symbol identification display means. Column number identification display means for identifying and displaying in the same form as the column symbol identification form;
Column operation execution means for executing a column operation process corresponding to the column operation expression displayed by the column operation expression display means;
A column operation corresponding change element for identifying and displaying the changed element when the element of the matrix data displayed on the touch-type display unit is changed in accordance with the column operation processing executed by the column operation execution means. An identification display means;
The matrix calculation apparatus according to [1], comprising:

[5]
A program for controlling a computer of an electronic computing device having a touch display unit,
The computer,
Matrix display means for displaying the matrix data in which each element of the matrix is arranged on the touch display unit by adding a row number indicating the row position and a column number indicating the column position,
Row operation list display means for displaying a list of row operation functions related to the matrix data together with the matrix data displayed on the touch-type display unit by the matrix display means,
Line operation expression display means for displaying on the touch display section a line operation expression corresponding to the line operation function touched in response to a touch operation on the line operation function displayed in a list by the line operation list display means;
Line symbol identification display means for identifying and displaying line symbols included in the line operation expression displayed by the line operation expression display means for each line symbol;
In response to a touch operation on the row number displayed on the touch-type display unit together with the matrix data by the matrix display means, the touched row number corresponds to the same row number identified and displayed by the row symbol identification display means. Line number identification display means for identifying and displaying the same identification form as the line symbol,
A line operation execution means for executing a line operation process corresponding to the line operation expression displayed by the line operation expression display means;
Changed element identification display means for identifying and displaying the changed element when the element of the matrix data displayed on the touch-type display unit is changed according to the line operation processing executed by the line operation execution means. ,
Program to function as.

11: Control unit (CPU)
DESCRIPTION OF SYMBOLS 12 ... Key input part 12a ... Data input key 12b ... "Mode" key 12c ... "Input" key 12d ... "Setting" key 12e ... "Execution" key 12g-12j ... Cursor key 13 ... Liquid crystal display part 14 ... Tablet 15 ... Position detection circuit 16 ROM
17 ... RAM
17a ... Display data memory 17b ... Matrix data memory 17b1 ... Matrix data 17b2 ... Row operation formula 17b3 ... Row number color information 17b4 ... Matrix element color information 17c ... Calculation data memory 17d ... Mode data memory 17g ... Work data memory 18 ... Display drive Circuit 19 ... Recording medium reading unit 20 ... External recording medium 21 ... Transmission control unit G ... Matrix display screen

Claims (5)

Matrix display means for displaying the matrix data in which each element of the matrix is arranged on the touch-type display unit by adding a row number indicating the row position and a column number indicating the column position;
Row operation list display means for displaying a list of row operation functions related to the matrix data together with the matrix data displayed on the touch display unit by the matrix display means;
A line operation expression display means for displaying on the touch display section a line operation expression corresponding to the line operation function that has been touch-operated in response to a touch operation on the line operation function displayed as a list by the line operation list display means;
Line symbol identification display means for identifying and displaying line symbols included in the line operation expression displayed by the line operation expression display means for each line symbol;
In response to a touch operation on the row number displayed on the touch-type display unit together with the matrix data by the matrix display means, the touched row number corresponds to the same row number identified and displayed by the row symbol identification display means. Line number identification display means for identifying and displaying in the same form as the identification form of the line symbol,
A line operation execution means for executing a line operation process corresponding to the line operation expression displayed by the line operation expression display means;
Changed element identification display means for identifying and displaying the changed element when the element of the matrix data displayed on the touch-type display unit is changed according to the line operation processing executed by the line operation execution means. When,
A matrix calculation apparatus comprising: The change element identification display means includes
When each element of any row of the matrix data displayed on the touch-type display unit is changed to a unit matrix type in accordance with the row operation processing executed by the row operation execution means, the unit matrix type To identify and display all the elements in the changed row,
The matrix calculation apparatus according to claim 1. When the touched line number is identified and displayed by the line number identification display means, the line number is displayed in the same identification form at the position of the line symbol included in the line operation formula corresponding to the line number. Provided with specified line number display means to rewrite and display,
The matrix calculation apparatus according to claim 1, wherein the matrix calculation apparatus is a matrix calculation apparatus. Column operation list display means for displaying a list of column operation functions related to the matrix data together with the matrix data displayed on the touch display unit by the matrix display means;
Column operation expression display means for displaying a column operation expression corresponding to the column operation function that is touch-operated in response to a touch operation on the column operation function displayed in a list by the column operation list display means on the touch display section,
Column symbol identification display means for identifying and displaying the column symbol included in the column operation expression displayed by the column operation expression display means for each column symbol;
In response to a touch operation on the column number displayed on the touch-type display unit together with the matrix data by the matrix display means, the touched column number corresponds to the same column number identified and displayed by the column symbol identification display means. Column number identification display means for identifying and displaying in the same form as the column symbol identification form;
Column operation execution means for executing a column operation process corresponding to the column operation expression displayed by the column operation expression display means;
A column operation corresponding change element for identifying and displaying the changed element when the element of the matrix data displayed on the touch-type display unit is changed in accordance with the column operation processing executed by the column operation execution means. An identification display means;
The matrix calculation apparatus according to claim 1, further comprising: A program for controlling a computer of an electronic computing device having a touch display unit,
The computer,
Matrix display means for displaying the matrix data in which each element of the matrix is arranged on the touch display unit by adding a row number indicating the row position and a column number indicating the column position,
Row operation list display means for displaying a list of row operation functions related to the matrix data together with the matrix data displayed on the touch-type display unit by the matrix display means,
Line operation expression display means for displaying on the touch display section a line operation expression corresponding to the line operation function touched in response to a touch operation on the line operation function displayed in a list by the line operation list display means;
Line symbol identification display means for identifying and displaying line symbols included in the line operation expression displayed by the line operation expression display means for each line symbol;
In response to a touch operation on the row number displayed on the touch-type display unit together with the matrix data by the matrix display means, the touched row number corresponds to the same row number identified and displayed by the row symbol identification display means. Line number identification display means for identifying and displaying the same identification form as the line symbol,
A line operation execution means for executing a line operation process corresponding to the line operation expression displayed by the line operation expression display means;
Changed element identification display means for identifying and displaying the changed element when the element of the matrix data displayed on the touch-type display unit is changed according to the line operation processing executed by the line operation execution means. ,
Program to function as.

Images