JP7310980B2 - Information processing device, graph display method and program - Google Patents

Description

The present invention relates to an information processing device, a graph display method , and a program.

In recent years, a system has been conceived in which an electronic device such as a smart phone can transmit a function expression to a server dedicated to calculation, perform calculation, and display the calculation result on the electronic device. By calculating the function expression on a server dedicated to calculation, it is possible to easily obtain a calculation result even with a complicated and advanced calculation that places a heavy load on an electronic device.

For example, in the system described in Patent Literature 1, a graph image corresponding to the functional expression is created as a calculation result by transmitting the functional expression to the server. The electronic device can receive and display the graph image from the server.

JP 2016-099976 A

As described above, in the conventional technology, a graph image can be received and displayed by transmitting a function expression to the server. However, the graph image created by the server is created regardless of the screen size of the electronic device, the size of the area where the graph is displayed on the screen, the resolution of the display, and the like. Therefore, if the graph image received from the server is displayed as it is on the electronic device, it may not be possible to display the graph with high accuracy.

The present invention has been made in consideration of the above - mentioned problems. The purpose is to provide a program.

In order to solve the above problems, an information processing apparatus according to the present invention provides resolution information of a display area in which a graph based on a predetermined functional expression is displayed, and information of a display range of the graph to be displayed in the display area. Acquisition means for acquiring plot coordinate data for displaying the graph as reply information from the external device when the functional expression is transmitted to a predetermined external device, and plot coordinate data acquired by the acquisition means display control means for displaying the graph in the display area based on the display control means, wherein the display control means controls the graph by user operation when the graph is displayed in the display area for the range is designated to display a range different from the range, a simple graph with a reduced number of plots is displayed for the different range.

Further, a graph display method according to the present invention is a graph display method executed by an information processing apparatus, wherein resolution information of a display area in which a graph based on a predetermined functional expression is displayed and the graph to be displayed in the display area an acquisition step of acquiring plot coordinate data for displaying the graph as reply information from the external device when the function expression is transmitted to a predetermined external device together with information on the display range of a display control step of displaying the graph in the display area based on the acquired plot coordinate data, wherein the display control step displays the graph in the display area for the range. When display of a range different from the range is designated by user operation, a simple graph with a reduced number of plots is displayed for the different range. do.
Further, a program according to the present invention causes a computer to display a graph based on a predetermined functional expression together with resolution information of a display area in which the graph is displayed and information on a display range of the graph to be displayed in the display area. Acquisition means for acquiring plot coordinate data for displaying the graph as reply information from the external device when transmitted to the external device, based on the plot coordinate data acquired by the acquisition means, in the display area display control means for displaying the graph, and the display control means controls the graph for the range by a user operation while the graph for the range is displayed in the display area. When display of a different range is specified, a simple graph with a reduced number of plots is displayed for the different range.

According to the present invention, it is possible to cause a server to calculate a function expression and draw a highly accurate graph corresponding to the display screen.

FIG. 2 is a block diagram showing an example of the configuration of an electronic circuit of the computing device according to the embodiment; FIG. 4 is a diagram showing an example of a display screen of a computing device according to the embodiment; 4 is a flowchart showing the operation of the computing device according to the embodiment; 4 is a flowchart showing the operation of the computing device according to the embodiment; FIG. 4 is a diagram for explaining an operation example of the computing device according to the embodiment; FIG. 4 is a diagram for explaining an operation example of the computing device according to the embodiment; FIG. 4 is a diagram for explaining an operation example of the computing device according to the embodiment; FIG. 4 is a diagram for explaining an operation example of the computing device according to the embodiment;

Embodiments of the present invention will be described below with reference to the drawings.
FIG. 1 is a diagram showing an example of the electronic circuit configuration of a computing device 10 according to an embodiment of the present invention. In this embodiment, the computing device 10 is described as being implemented as a smart phone, for example. It should be noted that the computing device 10 is not limited to a smart phone, and can be configured by other electronic devices such as a PDA (personal digital assistant), a PC (personal computer), a tablet terminal, a notebook PC, and a game machine. Here, as shown in FIG. 1, a system including a computing device 10 and a server 30 on a communication network N will be described as an example.

As shown in FIG. 1 , the electronic circuit of the computing device 10 includes a CPU 11 , a memory 12 , a display section 13 , a touch panel 14 , a key input section 15 , a communication section 16 and a recording medium reading section 17 .

The CPU 11 controls the operation of each circuit according to the input signal from the touch panel 14 , the key input signal from the key input section 15 , or the signal received by the communication section 16 according to the program stored in the memory 12 . By executing the graph drawing processing program 12A, the CPU 11 causes the server 30 to perform the calculation of the function expression, and can draw a highly accurate graph as a calculation result. The graph drawing processing program 12A may be downloaded (web application) by accessing a function calculation website (homepage) established by the server 30, or may be stored in the memory 12 in advance, or It may be read from a recording medium M such as a memory card into the memory 12 via the recording medium reading section 15 and stored. In this embodiment, the graph drawing processing program 12A is downloaded by accessing a website opened by the server 30, and is controlled by a browser application.

The computing device 10 controls the operation of each part of the circuit in accordance with the commands described in the graph drawing processing program 12A by the CPU 11, and the software and hardware operate in cooperation to draw the graph described later in the explanation of the operation. Realize processing (graph display method).

The memory 12 stores programs and data executed by the CPU 11 . The memory 12 stores a basic program (OS (Operating System)), a browser application program, and various other programs. Programs stored in the memory 12 include a graph drawing processing program 12A. The memory 12 also includes a function expression storage area 12B for storing function expression data as temporary data in accordance with the execution of the graph drawing processing program 12A, and a displacement width and current value of constant values included in the function expression. A constant value setting area 12C for storing, a preliminary coordinate calculation setting area 12D for storing setting contents set by a preliminary coordinate calculation setting process (to be described later), and a calculation result/graph drawing information received from the server 30. A calculation result/graph drawing information area 12E and the like for storage are secured.

The display unit 13 displays an image corresponding to the processing executed by the CPU 11 on the display screen. The display unit 13 is configured by, for example, a dot-matrix liquid crystal display unit. The touch panel 14 inputs position data according to a touch operation using a user's hand, pen, or the like. The touch panel 14 is superimposed and integrated with the display screen of the display unit 13 . A touch panel display is configured by the display unit 13 and the touch panel 14 .

The key input unit 15 receives key operations for various keys.
The communication unit 16 has a function of connecting to the network N through a public radiotelephone communication network.

When the server 30 receives a request from the computing device 10 to execute a function formula calculation (including graph drawing), the server 30 performs calculation based on the function formula received from the computing device 10 and the function formula/graph information related to graph drawing. Execute the process. The server 30 executes calculation processing using a functional calculation program that is more advanced than the program executed by the calculation device 10, or a special calculation circuit (module) that enables execution of advanced calculation. Therefore, the server 30 can accurately calculate a calculation result even with a complicated and advanced functional expression that is difficult to calculate with the computing device 10 .

FIG. 2 is a diagram showing an example of a display screen of the computing device 10 in this embodiment.
The computing device 10 reads the graph drawing processing program 12A by, for example, accessing a website for function calculation by the server 30 using a browser application, and executes the graph drawing processing program 12A on the browser application. The graph drawing processing program 12A operates in cooperation with a programming language that operates on the browser, and causes the browser window 120 to display images for functional calculation.

The graph drawing processing program 12A displays, for example, a command icon area 121, a function expression area 122, and a graph image area 123 as images for function calculation, as shown in FIG.

In the command icon area 121, icons corresponding to each of a plurality of commands are arranged. By selecting an icon, a function corresponding to the icon can be executed. Functions that can be executed by operating icons include, for example, function input, graph display, coordinate value list display, graph area change (enlargement/reduction), graph range specified enlargement (zoom), and the like.

A function formula (y=f(x)) of an independent variable (eg, x) is input to the function formula area 122 by user operation. A plurality of functional expressions (y1, y2, . . . ) can be entered in the functional expression area 122, and line types in the graph display corresponding to each of the plurality of functional expressions are displayed. Further, in the function expression area 122, it is possible to set whether or not each input function expression is to be graphed.

When entering a function expression in the function expression area 122, for example, a software keyboard for entering a function expression is displayed. On the software keyboard, for example, [0] to [9] (numerical value) keys, [+] [-] [x] [÷] (four arithmetic symbols) keys, [=] (execution) key, and the like are arranged. In addition, as a function function key group, [x-1] (-1 power; reciprocal number) key, [√] (root) key, [□/□] (fraction) key, [sin] (sign) key, A [cos] (cosine) key and the like are provided.

A graph image area 123 represents a graph display range in which a graph is drawn on the screen of the display unit 13 . In the graph image area 123, a graph corresponding to each of the functional expressions set as graph drawing targets among the function expressions input to the function expression area 122 is drawn. Graphs corresponding to a plurality of functional expressions are displayed in a form identifiable by different line types or display colors. In the graph image area 123, the graph display range can be changed by user operation. For changing the graph display range, for example, it is possible to change the graph area by enlarging or reducing the entire area, or change the graph display target by moving the display target range of the graph horizontally or vertically. For example, a user's touch operation (for example, slide) on the touch panel 14 corresponding to the graph image area 123 can instruct a change of the graph display target range.

Next, the operation of the computing device 10 according to this embodiment will be described. 3 and 4 are flowcharts showing the operation of the computing device 10 in this embodiment. 5, 6, 7, and 8 are diagrams for explaining an operation example of the computing device 10 in this embodiment.

The computing device 10 accesses a website (homepage) for function computation of the server 30 by a browser application according to a user's operation. As a result, the graph drawing processing program 12A is started in the computing device 10 .

The CPU 11 executes initial screen setting processing according to the graph drawing processing program 12A (step A1).

FIG. 4 is a flowchart showing initial screen setting processing.
The CPU 11 is either a large display device (e.g., PC, tablet terminal) provided with a relatively large size display unit 13, or a small display device (e.g., a small display device) provided with a relatively small size display unit 13. For example, it determines whether it is a smartphone).

Here, when the CPU 11 determines that the display device is a large display device (step B1, Yes), the graph screen size for displaying the graph on the display screen of the display unit 13 is set to a size preset for the large display device. Set (step B2). For example, assume that the graph screen size is set to 90 mm in width and 50 mm in height for a large display device. On the other hand, when the CPU 11 determines that the display device is a small display device (step B5, Yes), the graph screen size for displaying the graph on the display screen of the display unit 13 is set to a size preset for the small display device. (step B6). For example, assume that the graph screen size is set to 45 mm in width and 25 mm in height for a small display device.

It should be noted that the CPU 11 adjusts the graph screen size so that the plotting position of the graph drawn according to the calculation result of the function expression by the server 30 indicates a simple coordinate position so that fractions do not appear.

The CPU 11 detects the display dot size (resolution) of the display unit 13 provided in the device according to the graph screen size, and determines the number of graph screen dots (initial value) corresponding to the preset graph screen size. (step B4).

The CPU 11 causes the display unit 13 to display the initial screen (the function expression area 122 and the graph image area 123) according to the setting by the initial screen setting process (step A2). The graph image area 123 is displayed with the initial number of graph screen dots set by the initial screen setting process.

Next, after displaying the calculation result by the server 30 in the graph image area 123 (graph display range), the CPU 11 prepares for the case where the graph display range and the constants included in the function expression are changed. A preliminary coordinate calculation setting process for causing the server 30 to perform the calculation process is executed (step A3). In the preliminary coordinate calculation setting process, for example, a setting screen having items such as "left and right screens", "first constant", and "second constant" is displayed, and each item is set according to the user's operation. The preliminary coordinate calculation setting processing includes setting contents for requesting the server 30 to perform calculations for generating coordinate data for graphs in a range exceeding the current graph display range or graphs of function formulas with changed constant values.

The “left and right screens” is an item for setting up to which range after the change the graph display range is to be preliminarily executed by the server 30 in preparation for the case where the graph display range is changed in the horizontal direction. For example, in the initial setting, it is set to "no" to execute calculation only for the graph display range.

In addition, for example, any one of "left and right 1 screen", "left and right 1/2 screen", and "left and right 1/4 screen" can be set. For example, by setting "one left and right screen", calculation can be executed for the same range as the graph display range to the left and right of the current graph display range (the domain of the independent variable). Similarly, by setting "left and right 1/2 screens", it is possible to execute calculations for a half range of the graph display range to the left and right of the current graph display range.

The "first constant" causes the server 30 to pre-calculate up to which range after the change in preparation for the case where the value of the constant is changed when a constant (for example, constant a) is included in the function expression. This is an item for setting whether For example, as an initial setting, it is set to "none" in which calculation is executed only for a function expression in which a variable has an initial value (for example, a=1).

Also, for example, it is possible to set any of the options of "each step value" and "current step value before and after". For example, by setting "each step value", it is possible to execute calculations for a plurality of function expressions that are changed to values (for example, units of integer values) that variables can take within the graph display range. By setting the "current step value before and after", further calculations are performed for the two function expressions that are changed to the values before and after the value of the current variable value (initial value) (for example, the unit of the integer value). can be executed.

"Second constant" is pre-calculated in the server 30 to any range after the change in case the second constant (for example, constant b) is included in the function expression and the value of the constant is changed. This item is for setting whether to execute For example, as an initial setting, the variable is set to "none" to execute calculation only for a function expression with an initial value (for example, b=1).

In the above description, the preliminary coordinate calculation setting process is executed in the initial stage. can be executed in time.

Also, the case where the graph display range (the range of the independent variable x) is changed in the horizontal direction has been described, but if the graph display range (the range of the independent variable y) can be changed in the vertical direction, the vertical direction It is also possible to provide a setting screen that allows selection in preparation for a change to . For example, an item of "upper and lower screens" is provided, and any of the options of "upper and lower half screen", "upper and lower 1/2 screen", and "upper and lower 1/4 screen" can be selected.

Next, when the function formula area 122 is specified in the browser window 120 (step A4, Yes), the CPU 11 displays, for example, a software keyboard for inputting a function formula, and executes a function according to the user's operation on the software keyboard. A formula is entered, the function formula data is stored in the function formula storage area 12B, and the function formula is displayed in the function formula area 122 (step A5). In the function formula area 122, a check box is provided for each of the input function formulas, and it is possible to individually set whether or not the function formula is to be graphed by specifying the check box. The initial value is set to be the target of graph drawing.

If execution of graph drawing is instructed after at least one functional expression is input (step A6, Yes), the CPU 11 displays coordinate data of all graphs (graph drawing information), that is, whether the calculation for the graph to be displayed by the server 30 has been completed.

Here, when there is not all the coordinate data (graph drawing information) for displaying the graph in the graph display range (steps A10, A11, No), the CPU 11 sends the server 30 the function expression for drawing the graph. The coordinate calculation data for executing the calculation is sent to the server 30 (step A13).

FIG. 5 is a diagram showing transmission and reception of data when the computing device 10 according to the present embodiment requests the server 30 to perform computation for drawing a graph.
As shown in FIG. 5, the computing device 10 transmits to the server 30 the coordinate calculation data 20 corresponding to the function formula entered in the function formula area 122 . Here, for example, in the function formula area 122, three function formulas (y1, y2, y3) are input by user operation. Calculation device 10 provides, as coordinate calculation data 20, functional formula data representing three functional formulas, graph display area data indicating the domain of the independent variable of the graph to be displayed in the graph display range, and graph display on the screen of display unit 13. Accuracy data indicating the accuracy of graph drawing corresponding to the range (increase value of the independent variable for one display dot or the number of dots in the graph display range (independent variable domain) on the screen) is included.

The graph display area data includes, for example, the maximum value (max) and minimum value (min) of the x-coordinate system and the maximum value (max) and minimum value (min) of the y-coordinate system. For example, the coordinate calculation data 20 shown in FIG. 5 indicates that the graph is drawn in the range of xmin=-9, ymin=-5, xmax=9, ymax=5. That is, the graph of the function formula corresponding to the variable range (x=-9 to 9) of the independent variable is drawn with respect to the graph display range (side of the graph window).

Accuracy data indicates the incremental value of the independent variable for one display dot, or the number of display dots corresponding to the graph display range (the domain of the independent variable) on the screen. In the graph image area 123, since the graph display range is arbitrarily changed by user operation, the number of display dots corresponding to the domain of the independent variable or the number of display dots corresponding to the graph display range changes. Also, depending on the resolution of the display unit 13 (for example, a dot matrix type liquid crystal display unit) provided in the computing device 10, for example, "1 pixel x 1 pixel" for drawing a graph may be changed to "2 dots x 2 dots" or " 3 dots x 3 dots”. Therefore, the CPU 11 provides accuracy data ( The increment value of the independent variable for one display dot or the number of dots in the graph display range on the screen (the domain of the independent variable) is calculated and transmitted to the server 30 .

Note that the coordinate calculation data 20 includes angle mode data that designates angle settings (degree, radian, grad) when the function formula includes a trigonometric function or a calculation involving an angle. Further, the coordinate calculation data 20 includes constant data when the function formula includes constants. The constant data includes, for example, a constant value displacement width and a current value (initial value) indicating a value that the constant value can be displaced. Further, the coordinate calculation data 20 includes setting contents set by user operation in the preliminary coordinate calculation setting process. The contents of this setting include the contents requesting the calculation of the range exceeding the current graph display range or the calculation of the function value with the constant value changed.

The server 30 (function formula calculation program) receives the coordinate calculation data 20 from the calculation device 10 through an API (Application Programming Interface) 21, executes calculation of the function formula, and draws a graph in the calculation device 10. Generate calculation results/graph drawing information.

In the preliminary coordinate calculation setting process, if the "left and right screens" item is set to a setting other than the initial setting ("none"), the server 30 calculates the range to the left and right of the current graph display range. to run. Similarly, the server 30 changes the value of the constant when the items "first constant" and "second constant" are set to other than the initial setting ("none") in the preliminary coordinate calculation setting process. Perform calculations including cases.

The server 30 transmits the calculation result/graph drawing information 22 generated by the calculation according to the coordinate calculation data 20 to the computing device 10 . The computing device 10 stores the calculation result/graph drawing information 22 in the calculation result/graph drawing information area 12E.

The CPU 11 of the computing device 10 receives the array of coordinate data for graph drawing included in the graph drawing information 22 (step A14), and draws a graph in the graph image area 123 according to the array of coordinate data ( Step A15). The coordinate data is indicated by a combination (pair) of the X-coordinate value and the Y-coordinate value of each plot position representing the graph, as shown in FIG. The CPU 11 can draw a graph image by plotting pixels corresponding to each coordinate data included in the array.

When a plurality of functional expression data are transmitted by the coordinate calculation data 20, the array of coordinate data corresponding to each functional expression data is received, and a graph is drawn using, for example, different line types for each functional expression. draw.

The calculation result/graph drawing information 22 is generated by advanced calculation by the server 30 . That is, the coordinate data for graph drawing is generated based on the functional expression data, graph display area data, and accuracy data included in the coordinate calculation data 20, and is displayed in the graph image area 123 (graph display range) of the display unit 13. Indicates the position to plot. That is, the increment value (pitch) of the number of display dots corresponding to the displacement of the independent variable in the current graph image area 123 (graph display range) according to the display unit 13 mounted on the computing device 10, or the graph on the screen Since the coordinate data of the graph is generated according to the number of display dots corresponding to the display range (entire domain of the independent variable), the graph can be drawn with high accuracy on the screen of the display unit 13 of the computing device 10. can. Therefore, even when a complicated function expression is input, a highly accurate graph can be drawn as a calculation result.

Next, a case of changing the graph display range displayed in the graph image area 123 will be described.
FIG. 6 shows an example of moving the graph display range in the horizontal direction by the user's slide operation on the graph, as an example of changing the graph display target range in the present embodiment.

FIG. 6A shows a state in which the graph is drawn in the graph image area 123 as described above. Here, it is assumed that the user has performed a slide operation (horizontal movement operation of the screen) on the graph displayed in the graph image area 123 . When a slide operation is detected by the touch panel 14, that is, when an operation to change the graph display range is detected (step A7, Yes), the CPU 11 performs a slide operation according to the operation amount (slide length). Move the graph display range. For example, in FIG. 6A, since the slide operation is performed leftward, the graph display range is changed to a range moved rightward according to the amount of operation.

The CPU 11 determines whether or not there is already calculated coordinate data (calculation result/graph drawing information 22) for the entire changed graph display range. That is, by setting other than the initial setting (“None”) in the “left and right screens” item in the preliminary coordinate calculation processing settings, the coordinate data (calculation result/graph drawing) for the range to the left and right of the current graph display range It is determined whether the information 22) has been received.

Here, if the calculated coordinate data has been received for all of the changed graph display range (step A10, Yes), the CPU 11 displays the graph in the graph image area 123 according to the arrangement of the coordinate data. is drawn (step A15).

On the other hand, if there is already calculated coordinate data for part of the graph display range, the CPU 11 identifies the range without coordinate data as a new target for calculation (step A12). The CPU 11 draws a part of the graph in the graph image area 123 according to the arrangement of the coordinate data for a part of the graph display range in which the calculated coordinate data exists, and the graph image area 123 does not have the coordinate data. A simple graph area is displayed in the range (step A16). Further, the CPU 11 performs simple calculation of the functional formula for the uncalculated range to generate temporary coordinate data of the graph, plots it in the simple graph area according to the temporary coordinate data, and simply draws a graph image (step A17).

FIG. 6B shows an example in which the graph display range of the graph displayed in the graph image area 123 shown in FIG. 6A is changed. As shown in FIG. 6B, the simple graph area 123A is provided on the right side of the graph displayed in the graph image area 123 by moving the graph display range rightward. In the simple graph area 123A, a simple graph is drawn based on temporary coordinate data generated by simple calculation. In simple graph drawing, the graph is displayed in a form different from that of the graph drawn in the graph image area 123 . For example, it is possible to plot using dashed lines or dotted lines, or use different display colors for plotting.

In the simple graph area 123A, a low-precision graph is drawn. That is, the number of plots to be simply drawn is set to be smaller than that of the graphs in the normal graph image area 123, and an error within a predetermined range is allowed for the coordinates to be plotted. As a result, the processing load is reduced by simple calculation, and simple drawing in the simple graph area 123A can be easily executed. By displaying the simple graph in the simple graph area 123A, the user can be made to recognize that a highly accurate calculation using the server 30 is being executed.

The CPU 11 transmits the coordinate calculation data 20 (update the graph display area data) corresponding to the changed graph display range for the range specified in step A12 where the coordinate data is insufficient, and requests the server 30 to perform the calculation. (step A18). The server 30 executes calculation in response to a request from the computing device 10 and transmits the calculation result (calculation result/graph drawing information 22 ) to the computing device 10 .

The server 30 may transmit the coordinate data of the range in which the graph needs to be displayed anew, or may transmit the coordinate data of the entire graph display range after the change. Further, the calculation may be executed including the range corresponding to the setting content of the preliminary coordinate calculation setting according to the changed graph display range, and the calculation result/graph drawing information 22 may be transmitted.

In addition, in this embodiment, the range of the independent variable is designed to fit within the graph display range on the screen, but it is also possible to implement a specification in which the range of the independent variable exceeds the display range. . In that case, the number of display dots may be detected for a graph display range in which the domain of the independent variable exceeds the actual graph display range on the screen. For example, if the variable range of the independent variable is set to a size that exceeds the graph display range by 1/2 to the left and right, the number of display dots that is twice the number of display dots of the graph display range to be actually displayed will be detected.

The CPU 11 receives the calculation result/graph drawing information 22 (array of coordinate data for drawing the graph) received from the server 30 (step A14), and instead of the simple graph area 123A, draws a graph according to the array of coordinate data. A graph is drawn in the image area 123 (simple graph area 123A) (step A15). FIG. 6C shows a state in which a graph is drawn based on the calculation results by the server 30. FIG. As shown in FIG. 6C, based on the calculation result by the server 30, a highly accurate graph can be drawn in the same manner as described above.

In the above description, an example in which the graph display range of the graph image area 123 is moved in the horizontal direction has been described, but it may be moved in the vertical direction.

FIG. 7 shows an example of changing the size of the graph image area 123 as an example of changing the graph display target range in this embodiment. Here, changing the size of the graph image area 123 indicates changing the domain of the independent variable (the maximum and minimum values of the xy coordinate system used as the range to be displayed) rather than enlarging/reducing the graph.

FIG. 7A shows a display example with a small graph image area 123B, and FIG. 7B shows a display example with a large graph image area 123C. For the graph image areas 123B and 123C, for example, a pinch-in (reduce) or pinch-out (enlargement) operation on the touch panel 14 by a user operation, an instruction by a command (command icon), an instruction to change the size by an operation such as a mouse pointer. can do. In the display example shown in FIG. 7B, the functional formula area is deleted and the size of the graph image area 123C is enlarged.

When the CPU 11 detects that the size of the graph image area 123 has been changed by the user operation (step A8, Yes), the CPU 11 changes the graph display range according to the size change amount (enlargement/reduction). It should be noted that, in the processing when the size is changed, the range of execution of calculation by the server 30 is changed not only in the x-coordinate direction but also in the y-coordinate direction. A detailed description is omitted here as it is executed in the same manner as when the range is changed in the horizontal direction (steps A10 to A18).

Note that although the example shown in FIG. 7 describes an example of changing the domain of the independent variable, similar processing can be executed when enlarging (zooming) the graph. For example, the magnification for enlarging (zooming) the range of change (variation) in which the graph is displayed is transmitted as the coordinate calculation data 20 to the server 30, and calculation is performed. The server 30 generates and calculates an array of coordinate data indicating a missing part (intermediate values between previously received coordinate data) when displaying the zoomed graph according to the enlargement (zoom) magnification. Send to device 10 . As a result, the computing device 10 can draw an enlarged (zoomed) graph based on the array of coordinate data received from the server 30 .

FIG. 8 is a diagram showing an example of changing a constant included in a function expression in this embodiment.
Two function formulas are entered in the function formula area 122 shown in FIG. 8, and the first function formula (y1) contains the constant a. If the function expression contains a constant, the CPU 11 sets the constant value as shown in FIG. A constant operation area 124 for performing an operation to change is displayed.

The constant operation area 124 displays the constant "a" included in the function expression and also displays numbers representing the range of change between the current value and the constant value. For example, in FIG. 8A, the current value "1" of the constant a, the lower limit "-10" and the upper limit "10" representing the range of change are displayed. Further, the constant operation area 124 is provided with a slider 124A and buttons 124B and 124C for accepting user operations for changing constant values. The slider 124A can be moved in the horizontal direction, and moving it leftward decreases the constant value according to the amount of movement, and moving it rightward increases the constant value according to the amount of movement. Can accept instructions. Button 124B can accept an instruction to decrease the constant value, and button 124C can accept an instruction to decrease the constant value.

When the CPU 11 detects that an operation (for example, an operation of the slider 124A) is performed to change the constant value included in the function expression in the constant operation area 124 (step A9, Yes), the graph of the function expression with the changed constant is displayed. It is determined whether or not all the calculated coordinate data have been received. For example, in the preliminary coordinate calculation settings, if the item "first constant" is set to request calculation after changing the constant value (step value) (step A10, Yes), the constant value is changed. We have already received the graph coordinate data corresponding to the function after In this case, based on the received coordinate data array, a graph corresponding to the graph after changing the constant values is drawn instead of the graph before the change (step A16).

On the other hand, if the calculated coordinate data has not been received for all the graphs of the function formulas with changed constants (step A10, No), the CPU 11 performs the function formula contained in the coordinate calculation data 20 in the same manner as described above. The constant value of the data is changed to the function expression after changing, and the server 30 is made to perform the calculation of the function expression. The CPU 11 receives the calculation result from the server 30 (step A15), and draws a graph based on the array of coordinate data corresponding to the graph after the constant change (step A16). It should be noted that description of other detailed processing will be omitted assuming that it is executed in the same manner as in the case of changing the graph display range described above.

In this way, in the "first constant" item in the preliminary coordinate calculation settings, in preparation for the case where the value of the constant is changed, the server 30 is caused to calculate the function expression after the change in advance. In response to a change instruction, a highly accurate graph can be drawn efficiently based on the previously received coordinate data of the graph corresponding to the post-change functional expression. FIG. 8B shows an example of a graph displayed when the value of the constant a in the function expression shown in FIG. 8A is changed from "1" to "2".

In addition, in the item of "left and right screens" in the preliminary coordinate calculation settings, in preparation for the case where the graph display range is further changed, by setting in advance to receive the coordinate data of the changed range, for example, FIG. Even if an operation to change the graph display range is performed on the graph in the graph image area 123 shown in (B), the graph of the function expression in which the value of the constant a is changed can be similarly efficiently You can draw high-precision graphs.

In addition, when initial setting is made in the items of "left and right screens" and "first constant", that is, when the coordinate data of the graph with the changed constant value or the range of the changed graph display range is not received, the above-mentioned As shown in FIG. 6, when an instruction is given to change the constant value or change the graph display range, it is also possible to generate temporary coordinate data by performing simple calculations in the same manner as described above, and to draw the graph simply. is. After receiving the missing coordinate data from the server 30, the CPU 11 draws a highly accurate graph based on the coordinate data calculated by the server 30 instead of the simply drawn graph.
In the above description, the constant values included in the function expressions are described, but it is also possible to perform the same processing as the constant values described above for the coefficient values.

It should be noted that the methods described in the embodiments, that is, each method such as the processing shown in the flowcharts of FIGS. flexible disk, hard disk, etc.), optical disk (CD-ROM, DVD, etc.), semiconductor memory, or other recording medium for distribution. Then, the computer reads the program recorded in the external recording medium, and by controlling the operation by this program, it is possible to implement the same processing as the functions described in the embodiments.

In addition, program data for realizing each technique can be transmitted over a network (Internet) in the form of program code. It is also possible to capture and implement functionality similar to the previously described embodiments.

It should be noted that the present invention is not limited to the embodiments, and can be variously modified in the implementation stage without departing from the gist of the invention. Furthermore, 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 components are deleted from all the components shown in the embodiments, or some components are combined, the problems described in the column of problems to be solved by the invention can be solved, and the invention If the effect described in the effect column of 1 above can be obtained, a configuration in which this constituent element is deleted or combined can be extracted as an invention.

The invention described in the original claims of the present application is appended below.
[1]
display dot detection means for detecting the number of display dots in the graph display range on the screen corresponding to the variable range of the independent variable;
An increment of the independent variable for one display dot obtained from the range of the independent variable and the detected number of display dots, a function expression of the independent variable, and the range of the independent variable are transmitted to a server. a transmission means;
coordinate receiving means for receiving coordinate data for each display dot for drawing a graph in the graph display range from the server;
Graph image display control means for displaying a graph image drawn for each display dot in the graph display range based on the coordinate data.

[2]
display dot detection means for detecting the number of display dots in the graph display range on the screen corresponding to the variable range of the independent variable;
transmission means for transmitting the detected number of display dots, the function expression of the independent variable, and the range of the independent variable to a server;
coordinate receiving means for receiving coordinate data for each display dot for drawing a graph in the graph display range from the server;
Graph image display control means for displaying a graph image drawn for each display dot in the graph display range based on the coordinate data.

[3]
further comprising changing means for changing the graph display range;
If all the coordinate data corresponding to the domain of the independent variable corresponding to the graph display range after the change have not been received by the coordinate receiving means, the transmitting means transmits the independent variable in the range where the coordinate data is insufficient. A computing device according to [1] or [2], which transmits a domain to the server.

[4]
The computing device according to [3], wherein the changing means moves or resizes the graph display range.

[5]
The computing device according to [3], wherein the changing means changes the domain of the independent variable in the graph display range.

[6]
3. The computing device according to claim 1 or 2, wherein said transmission means transmits a variable value of said constant value to said server when said function expression includes a constant value.

[7]
The computing device according to [1] or [2], wherein the transmitting means includes setting content requesting coordinate data in a range exceeding the graph display range.

[8]
When the coordinate data for drawing the graph image is insufficient in the graph display range, the graph image display control means draws the graph image based on the insufficient temporary coordinate values calculated by simple calculation. The computing device according to [1] or [2], which displays

[9]
Detects the number of display dots in the graph display range on the screen corresponding to the domain of the independent variable,
transmitting to a server the increment of the independent variable for one display dot obtained from the range of the independent variable and the detected number of display dots, the functional expression of the independent variable, and the range of the independent variable; ,
receiving coordinate data for each display dot for drawing a graph in the graph display range from the server;
A graph display method for a computing device for displaying a graph image drawn for each display dot in the graph display range based on the coordinate data.

[10]
Detects the number of display dots in the graph display range on the screen corresponding to the domain of the independent variable,
transmitting the detected number of display dots, the function expression of the independent variable, and the domain of the independent variable to a server;
receiving coordinate data for each display dot for drawing a graph in the graph display range from the server;
A graph display method for a computing device for displaying a graph image drawn for each display dot in the graph display range based on the coordinate data.

[11]
the computer,
display dot detection means for detecting the number of display dots in the graph display range on the screen corresponding to the variable range of the independent variable;
An increment of the independent variable for one display dot obtained from the range of the independent variable and the detected number of display dots, a function expression of the independent variable, and the range of the independent variable are transmitted to a server. a transmitting means;
coordinate receiving means for receiving coordinate data for each display dot for drawing a graph in the graph display range from the server;
A computer-readable program for functioning as graph image display control means for displaying a graph image drawn for each display dot in the graph display range based on the coordinate data.

[12]
the computer,
display dot detection means for detecting the number of display dots in the graph display range on the screen corresponding to the variable range of the independent variable;
transmission means for transmitting the detected number of display dots, the function expression of the independent variable, and the range of the independent variable to a server;
coordinate receiving means for receiving coordinate data for each display dot for drawing a graph in the graph display range from the server;
A computer-readable program for functioning as graph image display control means for displaying a graph image drawn for each display dot in the graph display range based on the coordinate data.

10... Calculation device 11... CPU 12... Memory 12A... Graph drawing processing program 12B... Function formula storage area 12C... Variable value setting area 12D... Preliminary coordinate calculation setting area 12E... Calculation result/graph drawing Information 13... Display unit 14... Touch panel 20... Coordinate calculation data 22... Graph drawing information 30... Server N... Communication network.

Claims (4)

From the external device when the functional expression is transmitted to a predetermined external device together with resolution information of a display area in which a graph based on a predetermined functional expression is displayed and information on the display range of the graph to be displayed in the display area Acquisition means for acquiring plot coordinate data for displaying the graph as reply information of
display control means for displaying the graph in the display area based on the plot coordinate data acquired by the acquisition means;
with
When the display control means designates display of a range different from the range by a user operation while the graph is displayed in the display area with the range as the target, displaying a simple graph with a reduced number of plots for the different ranges;
An information processing device characterized by: Derivation means for deriving plot coordinate data for displaying the simple graph by simple calculation of the functional expression,
The display control means displays the simple graph based on the plot coordinate data derived by the derivation means.
The information processing apparatus according to claim 1, characterized by: A graph display method executed by an information processing device,
From the external device when the functional expression is transmitted to a predetermined external device together with resolution information of a display area in which a graph based on a predetermined functional expression is displayed and information on the display range of the graph to be displayed in the display area an acquisition step of acquiring plot coordinate data for displaying the graph as reply information of
a display control step of displaying the graph in the display area based on the plot coordinate data acquired in the acquisition step;
has
In the display control step, when display of a range different from the range is designated by a user operation while the graph is displayed in the display area with the range as the target, displaying a simple graph with a reduced number of plots for the different ranges;
A graph display method characterized by: the computer,
From the external device when the functional expression is transmitted to a predetermined external device together with resolution information of a display area in which a graph based on a predetermined functional expression is displayed and information on the display range of the graph to be displayed in the display area Acquisition means for acquiring plot coordinate data for displaying the graph as reply information of
display control means for displaying the graph in the display area based on the plot coordinate data acquired by the acquisition means;
function as
When the display control means designates display of a range different from the range by a user operation while the graph is displayed in the display area with the range as the target, displaying a simple graph with a reduced number of plots for the different ranges;
A program characterized by