JP7088260B2 - Graph information generator, graph information generation method, graph drawing device, graph drawing method, and program - Google Patents

Description

The present invention relates to a graph information generation device, a graph information generation method, a graph drawing device, a graph drawing method, and a program.

In recent years, a system has been considered in which a function formula can be transmitted from an electronic device such as a smartphone to a server dedicated to calculation to perform calculation, and the calculation result can be displayed on the electronic device. By having the function formula calculated on a server dedicated to calculation, it is possible to easily obtain a calculation result even in a complicated and sophisticated calculation with a heavy load on an electronic device.

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

Japanese Unexamined Patent Publication No. 2016-099976

As described above, in the prior art, a graph image can be received and displayed by transmitting a function expression to the server. However, the graph image created on the server is created regardless of the screen size in the electronic device, the size of the area for displaying the graph in 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, and is a graph display of a calculation device and a calculation device capable of causing a server to calculate a function expression and drawing a highly accurate graph corresponding to a display screen. The purpose is to provide methods and programs.

In order to solve the above problems, the graph information generator of the present invention has drawing accuracy information indicating the drawing accuracy of the graph according to the resolution of the display on which the graph is drawn, and drawing range information indicating the drawing range of the graph. And the information of the function expression of the graph to be drawn is acquired from the external device provided with the display.
Based on the drawing accuracy information acquired from the external device, the drawing range information, and the information of the function expression of the graph, at least the plot position information indicating the plot position representing the graph in the drawing range is acquired .

Further, the graph drawing apparatus of the present invention includes a display.
The server acquires drawing accuracy information indicating the drawing accuracy of the graph according to the resolution of the display for drawing the graph, drawing range information indicating the drawing range of the graph, and functional expression information of the graph to be drawn. Send as possible,
The plot position representing the graph in at least the drawing range generated by the server based on the transmitted drawing accuracy information, the drawing range information indicating the drawing range of the graph, and the information of the function expression of the graph to be drawn. The plot position information indicating the above is received from the server, and
A graph is drawn on the display based on the received plot position information and the drawing range information .
Further, the graph drawing method of the present invention is:
The method performed by the graph drawing system,
The graph drawing system includes a graph drawing device including a display and a graph information generating device that communicates with the graph drawing device.
Obtain drawing accuracy information indicating the drawing accuracy of the graph according to the resolution of the display for drawing the graph.
Based on the acquired drawing accuracy information, drawing range information indicating the drawing range of the graph, and information of the function expression of the graph to be drawn, at least plot position information indicating the plot position representing the graph in the drawing range. To get,
A graph is drawn on the display based on the acquired plot position information and the drawing range information.

According to the present invention, it is possible to draw a graph with high accuracy according to the resolution of the display on which the graph is drawn.

The block diagram which shows an example of the structure of the electronic circuit of the arithmetic unit in this embodiment. The figure which shows the display screen example of the arithmetic unit in this embodiment. The flowchart which shows the operation of the arithmetic unit in this embodiment. The flowchart which shows the operation of the arithmetic unit in this embodiment. The figure for demonstrating the operation example of the arithmetic unit in this embodiment. The figure for demonstrating the operation example of the arithmetic unit in this embodiment. The figure for demonstrating the operation example of the arithmetic unit in this embodiment. The figure for demonstrating the operation example of the arithmetic unit in this embodiment.

Hereinafter, embodiments of the present invention will be described with reference to the drawings.
FIG. 1 is a diagram showing an example of a configuration of an electronic circuit of the arithmetic unit 10 according to the embodiment of the present invention. In the present embodiment, the arithmetic unit 10 will be described as being implemented as, for example, a smartphone. The computing device 10 is not limited to smartphones, and can be configured by other electronic devices such as PDAs (personal digital assistants), PCs (personal computers), tablet terminals, notebook PCs, and game machines. Here, as shown in FIG. 1, a system including the arithmetic unit 10 and the server 30 on the communication network N will be described as an example.

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

The CPU 11 controls the operation of each part of the circuit according to the input signal from the touch panel 14, the key input signal from the key input unit 15, or the received signal by the communication unit 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 execute the calculation of the function expression, and can draw a highly accurate graph as the calculation result. The graph drawing processing program 12A may be downloaded (Web application) by accessing the website (homepage) for function calculation established by the server 30, may be stored in the memory 12 in advance, or may be stored in the memory 12. It may be read and stored in the memory 12 from the recording medium M such as a memory card via the recording medium reading unit 15. In the present embodiment, the graph drawing processing program 12A will be described as being downloaded by accessing the website established by the server 30 and controlled by the browser application.

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

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

The display unit 13 displays an image corresponding to the process executed by the CPU 11 on the display screen. The display unit 13 is composed of, for example, a dot matrix type liquid crystal display unit. The touch panel 14 inputs position data corresponding to a touch operation using a user's hand, a pen, or the like. The touch panel 14 is superimposed and integrated on 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 accepts 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 calculation device 10 requests execution of a function expression calculation (including graph drawing), the server 30 calculates based on the function expression received from the calculation device 10 and the function expression / graph information related to the graph drawing. Execute the process. The server 30 executes a calculation process by using a functional calculation program more advanced than the program executed by the calculation device 10 or a special calculation circuit (module) capable of executing the advanced calculation. Therefore, the server 30 can accurately calculate the calculation result even if it is a complicated and advanced function expression that is difficult to calculate by the calculation device 10.

FIG. 2 is a diagram showing an example of a display screen of the arithmetic unit 10 in the present embodiment.
For example, the calculation device 10 reads the graph drawing processing program 12A by accessing the website for function calculation by the server 30 by the browser application, and causes the graph drawing processing program 12A to be executed on the browser application. The graph drawing processing program 12A operates by cooperating with a programming language that operates on the browser, and causes the browser window 120 to display an image for function calculation.

As shown in FIG. 2, 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 an image for function calculation.

In the command icon area 121, icons corresponding to each of the plurality of commands are arranged. When the icon is selected, the function corresponding to the icon can be executed. Functions that can be executed by operating the icon include, for example, function expression input, graph display, coordinate value list display, graph area change (enlargement / reduction), and graph range specification enlargement (zoom).

In the function expression area 122, a function expression (y = f (x)) of an independent variable (for example, x) is input by a user operation. A plurality of function expressions (y1, y2, ...) Can be input to the function expression area 122, and the line type in the graph displayed corresponding to each of the plurality of function expressions is displayed. Further, in the function expression area 122, it is possible to individually set whether or not to target the graph drawing for the input function expression.

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

The graph image area 123 represents a graph display range on which a graph is drawn on the screen of the display unit 13. In the graph image area 123, among the function expressions input in the function expression area 122, a graph corresponding to each of the function expressions set as the target of graph drawing is drawn. Graphs corresponding to a plurality of function 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. The graph display range can be changed, for example, the graph area can be changed to enlarge or reduce the entire area, or the graph display target can be changed to move the graph display target range left or right or up and down. For example, it is possible to instruct to change the display target range of the graph by a user's touch operation (for example, slide) on the touch panel 14 corresponding to the graph image area 123.

Next, the operation of the arithmetic unit 10 in the present embodiment will be described. 3 and 4 are flowcharts showing the operation of the arithmetic unit 10 in the present embodiment. Further, FIGS. 5, 6, 7, and 8 are diagrams for explaining an operation example of the arithmetic unit 10 in the present embodiment.

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

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

FIG. 4 is a flowchart showing the initial screen setting process.
The CPU 11 is a large display device (for example, a PC or a tablet terminal) provided with a display unit 13 having a relatively large size, or a small display device (for example) provided with a display unit 13 having a relatively small size. For example, it is determined whether it is a smartphone).

Here, when the CPU 11 determines that the device is a large display device (steps 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, it is assumed 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 device is a small display device (step B5, Yes), the CPU 11 sets the graph screen size for displaying the graph on the display screen of the display unit 13 to a size preset for the small display device. (Step B6). For example, it is assumed that the graph screen size is set to 45 mm in width and 25 mm in height for a small display device.

The CPU 11 adjusts the graph screen size so that the plot position of the graph drawing according to the calculation result of the function formula by the server 30 does not show a fraction so as to indicate a simple coordinate position.

The CPU 11 detects the display dot size (resolution) of the display unit 13 provided in the own 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 an initial screen (function expression area 122, graph image area 123) according to the setting by the initial screen setting process (step A2). The graph image area 123 is displayed according to the number of graph screen dots of the initial value set by the initial screen setting process.

Next, the CPU 11 displays the calculation result by the server 30 in the graph image area 123 (graph display range), and then performs the changed calculation in case the constants included in the graph display range and the function expression are changed. The preliminary coordinate calculation setting process for causing the server 30 to execute the calculation process including the above is executed (step A3). In the preliminary coordinate calculation setting process, for example, a setting screen provided with items of "left and right screen", "first constant", and "second constant" is displayed, and each item is set according to the user operation. The preliminary coordinate calculation setting process includes setting contents for requesting the server 30 to calculate the coordinate data for the graph in the range exceeding the current graph display range or the graph of the function expression in which the constant value is changed.

The "left-right screen" is an item for setting to which range the server 30 is to perform the calculation in advance in case the graph display range is changed in the left-right direction. For example, in the initial setting, it is set to "None" to execute the calculation only for the graph display range.

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

The "first constant" causes the server 30 to execute the calculation in advance up to any range after the change in case the value of the constant is changed when the function expression includes the constant (for example, the constant a). It is an item for setting. For example, in the initial setting, it is set to "None" to execute the calculation only for the function expression whose variable is the initial value (for example, a = 1).

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

The "second constant" is calculated in advance in the server 30 up to any range after the change in case the value of the constant is changed when the function expression includes the second constant (for example, the constant b). It is an item to set whether to execute. For example, in the initial setting, it is set to "None" to execute the calculation only for the function expression whose variable is the initial value (for example, b = 1).

In the above description, it is assumed that the preliminary coordinate calculation setting process is executed at the initial stage, but it is arbitrary by selecting a predetermined icon (option) in the command icon area 121 during execution of the graph drawing process program 12A. It can be executed at the timing.

Further, the case where the graph display range (range of independent variable x) is changed in the horizontal direction is described, but when the graph display range (range of independent variable y) can be changed in the vertical direction, the vertical direction is described. It may be a setting screen that can be selected in case it is changed to. For example, an item of "upper and lower screen" is provided so that any one of "upper and lower 1 screen", "upper and lower 1/2 screen", and "upper and lower 1/4 screen" can be selected.

Next, when the function expression 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 expression, and performs a function according to a user operation on the software keyboard. An expression is input, the function expression data is stored in the function expression storage area 12B, and the function expression is displayed in the function expression area 122 (step A5). In the function expression area 122, a check box is provided for each of the input function expressions, and it is possible to individually set whether or not to target the graph drawing by specifying this check box. The initial value is set to be the target of graph drawing.

When the execution of graph drawing is instructed after at least one function expression is input (step A6, Yes), the CPU 11 performs the coordinate data (graph drawing) of all the graphs to be displayed for the current function expression area 122. Information), that is, whether the calculation for the graph to be displayed by the server 30 has been executed.

Here, if all the coordinate data (graph drawing information) for displaying the graph is not available in the graph display range (steps A10, A11, No), the CPU 11 is a functional expression for drawing the graph on the server 30. Coordinate calculation data for executing the calculation is transmitted to the server 30 (step A13).

FIG. 5 is a diagram showing transmission / reception of data when the calculation device 10 in the present embodiment requests the server 30 to perform a calculation for drawing a graph.
As shown in FIG. 5, the calculation device 10 transmits the coordinate calculation data 20 according to the function expression input to the function expression area 122 to the server 30. Here, for example, in the function expression area 122, it is assumed that three function expressions (y1, y2, y3) are input by a user operation. As the coordinate calculation data 20, the calculation device 10 includes function expression data representing three function expressions, 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 the display unit 13. Accuracy data indicating the accuracy of graph drawing corresponding to the range (value of increment of independent variable for one display dot or number of dots in graph display range (domain of independent variable) on the screen) is included.

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

The accuracy data indicates the increment value of the independent variable for one display dot, or the number of display dots corresponding to the graph display range (domain of the independent variable) on the screen. In the graph image area 123, since the graph display range is arbitrarily changed by the 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. Further, depending on the resolution of the display unit 13 (for example, a dot matrix type liquid crystal display unit) provided in the calculation device 10, for example, "1 pixel x 1 pixel" for drawing a graph is changed to "2 dots x 2 dots" or ". It may be drawn by "3 dots x 3 dots". Therefore, the CPU 11 has accuracy data (accuracy data) indicating the accuracy of graph drawing according to the resolution (the number of display dots corresponding to one pixel) of the display unit 13 mounted on the calculation device 10 at the time when the execution of graph drawing is requested. The increment value of the independent variable for one display dot or the number of dots in the graph display range (domain of the independent variable) on the screen) is calculated and transmitted to the server 30.

The coordinate calculation data 20 includes angle mode data for designating an angle setting (degree, radian, grad) when the function formula includes a trigonometric function or a calculation including an angle. Further, when the function expression includes a constant, the coordinate calculation data 20 includes the constant data. The constant data includes, for example, the displacement width of the constant value indicating the displaceable value of the constant value and the current value (initial value). Further, the coordinate calculation data 20 includes the setting contents set by the user operation in the preliminary coordinate calculation setting process. This setting includes a request for calculation of a range exceeding the current graph display range or calculation of a function value in which a constant value is changed.

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

If the server 30 has a setting other than the initial setting (“none”) in the “left / right screen” item in the preliminary coordinate calculation setting process, the server 30 calculates the range further to the left and right from the current graph display range. To execute. Similarly, when the items of "first constant" and "second constant" are set to other than the initial setting ("none") in the preliminary coordinate calculation setting process, the server 30 changes the value of the constant. 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 calculation device 10. The calculation device 10 stores the calculation result / graph drawing information 22 in the calculation result / graph drawing information area 12E.

The CPU 11 of the calculation device 10 receives an array of coordinate data for graph drawing included in the graph drawing information 22 (step A14), and draws a graph on the graph image area 123 according to the array of coordinate data (step A14). Step A15). As shown in FIG. 5, the coordinate data is shown by a combination (pair) of the X coordinate value and the Y coordinate value of each plot position representing the graph. The CPU 11 can draw a graph image by plotting on the pixels corresponding to each coordinate data included in the array.

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

The calculation result / graph drawing information 22 is generated by advanced calculation by the server 30. That is, the coordinate data for drawing the graph is stored in the graph image area 123 (graph display range) of the display unit 13 generated based on the functional expression data, the graph display area data, and the accuracy data included in the coordinate calculation data 20. It shows the position to be plotted. 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 calculation 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 (the entire domain of the independent variable), the graph can be drawn accurately on the screen of the display unit 13 of the calculation 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 display target range of the graph in the left-right direction by a slide operation on the graph of the user 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 (left / right movement operation of the screen) on the graph displayed in the graph image area 123. When the touch panel 14 detects a slide operation, that is, when it detects that an operation for changing the graph display range has been performed (steps A7, Yes), the CPU 11 responds to the slide operation amount (slide length). Move the graph display range. For example, in FIG. 6A, since the slide operation is performed to the left, the graph display range is changed to a range moved to the right according to the operation amount.

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

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

On the other hand, when there is coordinate data calculated for a part of the graph display range, the CPU 11 specifies the range without the coordinate data as a new calculation target (step A12). The CPU 11 draws a part of the graph with respect to the graph image area 123 according to the arrangement of the coordinate data for a part of the graph display range having the calculated coordinate data, and there is no coordinate data of the graph image area 123. A simple graph area is displayed in the range (step A16). Further, the CPU 11 simply calculates the function formula for the uncalculated range to generate the temporary coordinate data of the graph, plots it in the simple graph area according to the temporary coordinate data, and simply draws the 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 to the right. In the simple graph area 123A, a graph is simply drawn based on the temporary coordinate data generated by the simple calculation. In the simple drawing of the graph, it is assumed that the graph is displayed in a form different from the graph drawn in the graph image area 123. For example, it is possible to plot so as to be a broken line or a dotted line, or to plot different display colors.

In the simple graph area 123A, it is assumed that a graph with low accuracy is drawn. That is, the number of plots to be simply drawn is made smaller than that of the graph 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 the simple calculation, and the simple drawing in the simple graph area 123A can be easily executed. By displaying the simple graph in the simple graph area 123A, it is possible to make the user recognize that the calculation using the server 30 is being executed with high accuracy.

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

The server 30 may transmit the coordinate data of the range in which the graph needs to be newly displayed, or may transmit the coordinate data of the entire changed graph display range again. 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.

Further, in the present embodiment, the domain of the independent variable fits in the graph display range on the screen without excess or deficiency, but it can be implemented even in a specification that the domain of the independent variable exceeds the display range. .. In that case, the number of display dots may be detected for the graph display range whose size exceeds the domain of the independent variable with respect to the actual graph display range on the screen. For example, if the domain of the independent variable is set to a size that exceeds 1/2 on the left and right of the graph display range, the number of display dots is twice the number of display dots in the graph display range that is actually displayed. Will be detected.

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

In the above description, an example of moving the graph display range of the graph image area 123 in the left-right direction is described, but the graph image area 123 may be moved in the up-down 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 the present embodiment. Here, the change in the size of the graph image area 123 does not indicate the enlargement / reduction of the graph, but the change in the domain of the independent variable (the maximum value and the minimum value of the xy coordinate system to be displayed).

FIG. 7A shows a display example in which the size of the graph image area 123B is small, and FIG. 7B shows a display example in a state where the size of the graph image area 123C is large. For the graph image areas 123B and 123C, for example, pinch-in (reduction) and pinch-out (enlarge) operations on the touch panel 14 by user operations, instructions by commands (command icons), and mouse pointer operations are used to instruct to change the size. can do. In the display example shown in FIG. 7B, the function expression area is deleted to enlarge the size of the graph image area 123C.

When the CPU 11 detects that the size of the graph image area 123 has been changed by a user operation (steps A8, Yes), the CPU 11 changes the graph display range according to the size change amount (enlargement / reduction). In the process when the size is changed, the range in which the calculation is executed by the server 30 is changed not only in the x-coordinate direction but also in the y-coordinate direction. A detailed description will be omitted assuming that the execution is performed in the same manner as when the range is changed in the left-right direction (steps A10 to A18).

In the example shown in FIG. 7, an example of changing the domain of the independent variable is described, but the same processing can be executed when the graph is enlarged (zoomed). For example, the magnification to be enlarged (zoomed) in the change range (range) for displaying the graph is transmitted to the server 30 as the coordinate calculation data 20 to execute the calculation. The server 30 generates and calculates an array of coordinate data indicating a portion (a value in the middle between the previously received coordinate data) that is insufficient when displaying the zoomed graph according to the magnification to be enlarged (zoomed). It is transmitted to the device 10. As a result, the arithmetic unit 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 the constant included in the function expression in the present embodiment. Two function expressions are input to the function expression area 122 shown in FIG. 8, and the first function expression (y1) includes a constant a. When the function expression contains a constant, the CPU 11 determines the constant value as shown in FIG. 8 based on the displacement width and the current value of the constant value included in the function expression stored in the constant value setting area 12C. The constant operation area 124 for performing the operation of changing the is displayed.

In the constant operation area 124, the constant "a" included in the function expression is displayed, and a numerical value indicating the range of change between the current value and the constant value is displayed. For example, in FIG. 8A, the current value “1” of the constant a, the lower limit value “-10” representing the change range, and the upper limit value “10” are displayed. Further, the constant operation area 124 is provided with a slider 124A and buttons 124B and 124C for receiving a user operation for changing the constant value. The slider 124A can be moved in the left-right direction, and by moving it to the left, the constant value is decreased according to the amount of movement, and by moving it to the right, the constant value is increased according to the amount of movement. Can accept instructions. The button 124B can receive an instruction to decrease the constant value, and the button 124C can receive an instruction to decrease the constant value.

When the CPU 11 detects that an operation for changing the constant value included in the function expression (for example, an operation of the slider 124A) is performed in the constant operation area 124 (steps A9, Yes), the graph of the function expression in which the constant is changed is shown. Determine if the calculated coordinate data for all has been received. For example, if the item of "first constant" is set to require calculation after changing the constant value (step value) in the preliminary coordinate calculation setting (step A10, Yes), the constant value is changed. The coordinate data of the graph corresponding to the function expression after this has been received. In this case, based on the array of the received coordinate data, a graph corresponding to the graph after the constant value is changed instead of the cluff before the change is drawn (step A16).

On the other hand, if the calculated coordinate data has not been received for all the graphs of the function expression whose constants have been changed (steps A10, No), the CPU 11 performs the function expression included 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 the change, and the server 30 is made to execute the calculation of the function expression. The CPU 11 receives the calculation result by 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 other detailed processes will be omitted as they are executed in the same manner as in the case of changing the graph display range described above.

In this way, in the item of "first constant" in the preliminary coordinate calculation setting, the constant value is calculated by causing the server 30 to calculate the changed function expression in advance in case the value of the constant is changed. In response to the instruction to be changed, it is possible to efficiently draw a graph with high accuracy based on the coordinate data of the graph corresponding to the changed function expression received in advance. 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 preliminary coordinate calculation setting, in the item of "left and right screen", by setting in advance to receive the coordinate data of the changed range in case the graph display range is further changed, for example, FIG. Even when the graph display range is changed for 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 is also efficiently performed in the same manner. It is possible to draw a graph with high accuracy.

Further, when the initial settings are made in the items of "left and right screen" and "first constant", that is, when the graph whose constant value is changed or the coordinate data of the range where the graph display range is changed is not received, the above-mentioned is described. As shown in FIG. 6, when a constant value change operation or a graph display range change is instructed, it is also possible to perform simple calculation in the same manner as described above to generate temporary coordinate data and draw a graph simply. Is. After receiving the insufficient 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 value included in the function expression is targeted, but it is also possible to perform the same processing as the above-mentioned constant value for the coefficient value.

In addition, the method described in the embodiment, that is, each method such as the processing shown in the flowcharts of FIGS. 3 and 4, can be executed by a computer as a memory card (ROM card, RAM card, etc.) or magnetic disk ( It can be stored and distributed in a recording medium such as a flexible disk, a hard disk, etc.), an optical disk (CD-ROM, DVD, etc.), a semiconductor memory, or the like. Then, the computer reads the program recorded on the external recording medium, and the operation is controlled by this program, so that the same processing as the function described in the embodiment can be realized.

In addition, the program data for realizing each method can be transmitted on the network (Internet) in the form of a program code, and the program data can be transmitted from a computer (server device, etc.) connected to this network (Internet). It is also possible to take in and realize the same function as the above-described embodiment.

The invention of the present application is not limited to the embodiment, and can be variously modified at the implementation stage without departing from the gist thereof. Further, the embodiments include inventions at various stages, and various inventions can be extracted by appropriate combinations in the plurality of disclosed constituent requirements. For example, even if some constituent elements are deleted from all the constituent elements shown in the embodiment or some constituent elements are combined, the problem described in the column of the problem to be solved by the invention can be solved, and the invention can be solved. If the effect described in the column of effect of is obtained, the configuration in which this constituent requirement is deleted or combined can be extracted as an invention.

The inventions described in the original claims of the present application are described below.
[1]
A display dot detection means that detects the number of display dots in the graph display range on the screen corresponding to the domain of the independent variable, and
The increment of the independent variable for one display dot obtained from the domain of the independent variable and the number of detected display dots, the function expression of the independent variable, and the domain of the independent variable are transmitted to the server. Transmission means and
A coordinate receiving means for receiving coordinate data for each display dot that draws a graph in the graph display range from the server.
A calculation device including a 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]
A display dot detection means that detects the number of display dots in the graph display range on the screen corresponding to the domain of the independent variable, and
A transmission means for transmitting the detected number of display dots, the function expression of the independent variable, and the domain of the independent variable to the server.
A coordinate receiving means for receiving coordinate data for each display dot that draws a graph in the graph display range from the server.
A calculation device including a 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 having a changing means for changing the graph display range,
If all the coordinate data corresponding to the domain of the independent variable corresponding to the changed graph display range has not been received by the coordinate receiving means, the transmitting means has the independent variable in the range in which the coordinate data is insufficient. The computing device according to [1] or [2], which transmits a domain to the server.

[4]
The calculation 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]
The calculation device according to claim 1 or [2], wherein the transmission means transmits a displaceable value of the constant value to the server when the function expression includes a constant value.

[7]
The calculation device according to [1] or [2], wherein the transmission means includes setting contents for requesting coordinate data in a range beyond the graph display range.

[8]
When the graph image display control means lacks coordinate data for drawing a graph image in the graph display range, the graph image is drawn based on the tentative coordinate value of the shortage calculated by a simple calculation. The calculation device according to [1] or [2].

[9]
Detects the number of display dots in the graph display range on the screen corresponding to the domain of the independent variable,
The increment of the independent variable for one display dot obtained from the domain of the independent variable and the number of detected display dots, the function expression of the independent variable, and the domain of the independent variable are transmitted to the server. ,
Receives coordinate data for each display dot that draws a graph in the graph display range from the server.
A graph display method of a calculation 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,
The number of detected display dots, the function expression of the independent variable, and the domain of the independent variable are transmitted to the server.
Receives coordinate data for each display dot that draws a graph in the graph display range from the server.
A graph display method of a calculation device for displaying a graph image drawn for each display dot in the graph display range based on the coordinate data.

[11]
Computer,
A display dot detection means that detects the number of display dots in the graph display range on the screen corresponding to the domain of the independent variable, and
The increment of the independent variable for one display dot obtained from the domain of the independent variable and the number of detected display dots, the function expression of the independent variable, and the domain of the independent variable are transmitted to the server. Transmission means and
A coordinate receiving means for receiving coordinate data for each display dot that draws a graph in the graph display range from the server.
A computer-readable program for functioning as a 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]
Computer,
A display dot detection means that detects the number of display dots in the graph display range on the screen corresponding to the domain of the independent variable, and
A transmission means for transmitting the detected number of display dots, the function expression of the independent variable, and the domain of the independent variable to the server.
A coordinate receiving means for receiving coordinate data for each display dot that draws a graph in the graph display range from the server.
A computer-readable program for functioning as a 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 ... functional storage area, 12C ... variable value setting value 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 (15)

The display includes drawing accuracy information indicating the drawing accuracy of the graph according to the resolution of the display on which the graph is drawn, drawing range information indicating the drawing range of the graph, and functional expression information of the graph to be drawn. Obtained from an external device
Based on the drawing accuracy information acquired from the external device, the drawing range information, and the information of the function expression of the graph, at least the plot position information indicating the plot position representing the graph in the drawing range is acquired. Graph information generator. The graph information generation device according to claim 1, wherein the drawing accuracy information is information determined based on the resolution of the display and the drawing range information. The drawing accuracy information includes the increment value of the independent variable of the functional expression in the graph per unit display dot of the display, or the number of display dots in the display in the drawing range of the graph, according to claim 1 or The graph information generation device according to claim 2. The graph information generation device according to any one of claims 1 to 3, wherein the drawing range information includes a domain of an independent variable of the functional expression of the graph. The graph information generation device according to any one of claims 1 to 4, wherein the plot position information is coordinate data of the graph according to the resolution of the display. The plot position information in order to draw a graph based on the plot position information and the drawing range information acquired based on the drawing accuracy information, the drawing range information, and the information of the function expression of the graph on the display. The graph information generation device according to any one of claims 1 to 5, which transmits the graph information to the external device. The graph information generation device according to any one of claims 1 to 6, wherein the resolution is the number of display dots corresponding to a unit drawing pixel. A method performed by a graph information generator,
The display includes drawing accuracy information indicating the drawing accuracy of the graph according to the resolution of the display on which the graph is drawn, drawing range information indicating the drawing range of the graph, and functional expression information of the graph to be drawn. Obtained from an external device
Based on the drawing accuracy information acquired from the external device, the drawing range information, and the information of the function expression of the graph, at least the plot position information indicating the plot position representing the graph in the drawing range is acquired. Graph information generation method including that. The graph information generation method according to claim 8, wherein the resolution is the number of display dots corresponding to a unit drawing pixel. The control means of the graph information generator,
The display includes drawing accuracy information indicating the drawing accuracy of the graph according to the resolution of the display on which the graph is drawn, drawing range information indicating the drawing range of the graph, and functional expression information of the graph to be drawn. Obtained from an external device
Based on the drawing accuracy information acquired from the external device, the drawing range information, and the information of the function expression of the graph, at least the plot position information indicating the plot position representing the graph in the drawing range is acquired. A program to function as a means. The program according to claim 10, wherein the resolution is the number of display dots corresponding to a unit drawing pixel. It is a graph drawing device equipped with a display.
The server acquires drawing accuracy information indicating the drawing accuracy of the graph according to the resolution of the display for drawing the graph, drawing range information indicating the drawing range of the graph, and functional expression information of the graph to be drawn. Send as possible,
From the server, the plot position information indicating the plot position representing the graph in at least the drawing range generated by the server based on the transmitted drawing accuracy information, the drawing range information, and the information of the function expression is obtained from the server. Receive and
A graph drawing device that draws a graph on the display based on the received plot position information and the drawing range information. It is a method executed by a graph drawing device.
The server can acquire drawing accuracy information indicating the drawing accuracy of the graph according to the resolution of the display on which the graph is drawn, drawing range information indicating the drawing range of the graph, and functional expression information of the graph to be drawn. Send as
From the server, the plot position information indicating the plot position representing the graph in at least the drawing range generated by the server based on the transmitted drawing accuracy information, the drawing range information, and the information of the function expression is obtained from the server. Receive and
A graph drawing method including drawing a graph on the display based on the received plot position information and the drawing range information. The control means of the graph drawing device,
The server can acquire drawing accuracy information indicating the drawing accuracy of the graph according to the resolution of the display on which the graph is drawn, drawing range information indicating the drawing range of the graph, and functional expression information of the graph to be drawn. Send as
From the server, the plot position information indicating the plot position representing the graph in at least the drawing range generated by the server based on the transmitted drawing accuracy information, the drawing range information, and the information of the function expression is obtained from the server. Receive and
A program for drawing a graph on the display based on the received plot position information and the drawing range information, and making it function as a means. The method performed by the graph drawing system,
The graph drawing system includes a graph drawing device including a display and a graph information generating device that communicates with the graph drawing device.
Obtain drawing accuracy information indicating the drawing accuracy of the graph according to the resolution of the display for drawing the graph.
Based on the acquired drawing accuracy information, drawing range information indicating the drawing range of the graph, and information of the function expression of the graph to be drawn, at least plot position information indicating the plot position representing the graph in the drawing range. To get,
A graph drawing method for drawing a graph on the display based on the acquired plot position information and the drawing range information.

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