WO2011001952A1

WO2011001952A1 - Electronic function graph display device, coordinate acquisition device, electronic function graph display method, coordinate acquisition method, and program

Info

Publication number: WO2011001952A1
Application number: PCT/JP2010/061006
Authority: WO
Inventors: 滋雄中石
Original assignee: Nakaishi Shigeo
Priority date: 2009-07-01
Filing date: 2010-06-29
Publication date: 2011-01-06
Also published as: JP2009266251A

Abstract

Disclosed is an electronic function graph display device that obtains coordinates corresponding to points on a displayed graph. The device is provided with: coordinate system image data, the coordinate system of which has an x-axis and a y-axis; and image data storage unit (11) in which graph image data of a function y = f(x) are stored; a position specification receiving unit (12) that receives the specification of a position on the coordinate system; a numerical value acquisition unit (13) that acquires an x-axis numerical value "a" that corresponds to the received position; a computation unit (14) that uses "a" to compute a y-axis numerical value "f(a)"; an image generation unit (15) that generates x-axis numerical value image data, y-axis numerical value image data and point diagram image data which represent positions on the coordinate system corresponding to x-axis numerical values and y-axis numerical values; and an image display unit (16) that displays the stored image data and the generated image data. The position specification receiving unit (12) receives via a GUI specifications of positions on the coordinate system of the coordinate system image data displayed by the image display unit (16).

Description

Electronic function graph display device, coordinate acquisition device, electronic function graph display method, coordinate acquisition method, and program

The present invention provides an electronic function graph display device that obtains a coordinate value on a graph according to a position specified on a coordinate system, or a position specified on a three-dimensional coordinate system displayed on a two-dimensional plane. The present invention relates to a coordinate acquisition device that acquires coordinates in a three-dimensional coordinate system according to the above.

Conventionally, there is known software that inputs a numerical value with a slider and outputs a calculation result corresponding to the input numerical value. For example, software that displays the temperature of Fahrenheit corresponding to the temperature of Celsius when the temperature of Celsius is input by a slider is known.

Further, software having a function of acquiring and displaying a value corresponding to a position designated by a mouse pointer or the like in a two-dimensional coordinate system is also known (for example, see Non-Patent Document 1). By using the function of the software, the user can acquire the coordinates of an arbitrary position on the two-dimensional coordinate system.

Further, software having a function of acquiring and displaying values of some points on a graph displayed in a two-dimensional coordinate system is also known (for example, see Non-Patent Document 2). If the function of the software is used, coordinates corresponding to a predetermined position on the graph can be acquired.

However, some conventional sliders can input x of the function y = f (x) and output the value of y, but visualize the function y = f (x). There was a problem that I could not. Therefore, by looking at the change in the output value y according to the change in the input value x in accordance with the movement of the slider, it has only been possible to imagine how the function changes.

In Non-Patent Document 1 described above, the coordinates of an arbitrary point on the coordinate system can be acquired, but only the point on the graph of the function y = f (x) cannot be acquired. Although the user can obtain coordinates close to the graph by moving the mouse pointer or the like on the graph of the function y = f (x), strictly speaking, the value on the function y = f (x) It is impossible to get.
In Non-Patent Document 2 described above, only a pre-defined value can be read out, so that the values that can be read out are discrete values on the graph. Therefore, the coordinates of an arbitrary point on the graph could not be acquired.

Generally speaking, there has been a problem that it is impossible to obtain coordinates according to an arbitrary point on the graph displayed in the coordinate system.

In addition, when a three-dimensional coordinate system is displayed on a two-dimensional plane, information for one dimension is lost. Therefore, even if one point is specified on the two-dimensional plane, the point corresponds to two or more points in the three-dimensional coordinate system, and the coordinates in the three-dimensional coordinate system are uniquely specified. There was also a problem that it was not possible.

The present invention has been made to solve the above-described problems, and one object of the present invention is to display an electronic function graph that can acquire coordinates according to an arbitrary point on the graph displayed in the coordinate system. It is to provide a device or the like. Another object is to provide a coordinate acquisition device that uniquely identifies and acquires coordinates in a three-dimensional coordinate system corresponding to a position specified in a three-dimensional coordinate system displayed on a two-dimensional plane. That is.

In order to achieve the above object, an electronic function graph display device according to the present invention is a graph of coordinate system image data, which is image data of a two-dimensional coordinate system having an x-axis and a y-axis, and a function y = f (x). An image data storage unit that stores graph image data that is image data of the image, a position designation receiving unit that accepts designation of a position on the coordinate system, and x corresponding to the position on the coordinate system accepted by the position designation accepting unit Using a numerical value acquisition unit that acquires an x-axis numerical value that is an axis value (assuming that this x-axis numerical value is “a”) and an x-axis numerical value acquired by the numerical value acquisition unit, y = f (a) Image data of a point graphic that is a figure indicating a position on the coordinate system corresponding to the y-axis numerical value calculated by the calculating unit, the numerical value acquiring unit, the x-axis numerical value acquired by the numerical value acquiring unit, and the y-axis numerical value Point graphic image data and x-axis numerical image data Image generating unit that generates x-axis numerical image data that is data and y-axis numerical image data that is image data of y-axis, coordinate system image data and graph image data read from the image data storage unit, and image An image display unit for displaying the point graphic image data, the x-axis numerical image data, and the y-axis numerical image data generated by the generation unit, and the position designation receiving unit is coordinate system image data displayed by the image display unit In the coordinate system, a designation of a position is received via a graphical user interface (GUI).

With this configuration, by specifying the x-axis value of a graph displayed in a two-dimensional coordinate system using the GUI, a point graphic can be displayed at a position on the graph corresponding to that value. The coordinates on the graph corresponding to the point graphic can also be displayed. The displayed coordinates are surely values corresponding to the points on the graph. Further, by designating an arbitrary point, a value corresponding to the arbitrary point on the graph is displayed. In addition, since a graph is also displayed, it is possible to easily understand what function y = f (x) is.

In the electronic function graph display device according to the present invention, coordinate system image data that is image data of a two-dimensional coordinate system having an x-axis and a y-axis, and a function y = f (x) or g (x, y). = C (where c is a constant) graph image data that is image data of a graph, a position designation receiving unit that accepts designation of a position on the coordinate system, and a position designation acceptance A numerical value acquisition unit that acquires a y-axis numerical value that is a y-axis value according to a position on the coordinate system received by the unit, and an x-axis value when the y-axis numerical value acquired by the numerical value acquisition unit is substituted into a function This is image data of a point graphic which is a graphic indicating a position on a coordinate system corresponding to a calculation unit which calculates a certain x-axis numerical value, a y-axis numerical value acquired by the numerical value acquisition unit, and an x-axis numerical value calculated by the calculation unit. Point graphic image data and x-axis numerical image data X-axis numerical image data and y-axis numerical image data which is y-axis numerical image data, coordinate system image data and graph image data read from the image data storage unit, and image generation An image display unit that displays the point graphic image data generated by the unit, the x-axis numerical image data, and the y-axis numerical image data, and the position designation receiving unit includes the coordinate system image data displayed by the image display unit. On the coordinate system, designation of a position may be accepted via a graphical user interface.

With this configuration, by specifying the y-axis value of a graph displayed in a two-dimensional coordinate system using the GUI, a point graphic can be displayed at a position on the graph corresponding to that value. The coordinates on the graph corresponding to the point graphic can also be displayed. The displayed coordinates are surely values corresponding to the points on the graph. Further, by designating an arbitrary point, a value corresponding to the arbitrary point on the graph is displayed. In addition, since a graph is also displayed, it is possible to easily grasp what function y = f (x) or g (x, y) = c is.

In the electronic function graph display device according to the present invention, the coordinate system image data that is image data of a three-dimensional coordinate system having the x axis, the y axis, and the z axis, and the graph of the function z = f (x, y). An image data storage unit that stores graph image data that is image data of the image, a position designation receiving unit that accepts designation of a position on the xy coordinate plane on the coordinate system, and a coordinate system received by the position designation accepting unit The x-axis value (assuming this x-axis value is “a”) and the y-axis value (this y-axis value is “b”) corresponding to the position. And a calculation unit that calculates a z-axis numerical value that is a value of z = f (a, b) using the x-axis numerical value and the y-axis numerical value acquired by the numerical value acquiring unit; Corresponds to the x-axis and y-axis values acquired by the numerical value acquisition unit, and the z-axis value calculated by the calculation unit Point graphic image data that is image data of a point graphic that is a graphic indicating a position on the coordinate system, x-axis numerical image data that is image data of x-axis numerical values, and y-axis numerical values that are image data of y-axis numerical values Image generation unit that generates image data and z-axis numerical image data that is z-axis numerical image data, coordinate system image data and graph image data read from the image data storage unit, and points generated by the image generation unit An image display unit for displaying graphic image data, x-axis numerical image data, y-axis numerical image data, and z-axis numerical image data, and the position designation receiving unit is coordinate system image data displayed by the image display unit In the coordinate system, the designation of the position may be received via the graphical user interface.

With this configuration, by specifying the x-axis and y-axis values of a graph displayed in a three-dimensional coordinate system using the GUI, a point graphic is displayed at a position on the graph corresponding to those values. The coordinates on the graph corresponding to the point graphic can also be displayed. The displayed coordinates are surely values corresponding to the points on the graph. Further, by designating an arbitrary point, a value corresponding to the arbitrary point on the graph is displayed. Further, since a graph is also displayed, it is possible to easily grasp what function the function z = f (x, y) is.

In the electronic function graph display device according to the present invention, coordinate system image data that is image data of a three-dimensional coordinate system having an x-axis, a y-axis, and a z-axis, and a function z = f (x, y) or g. (X, y, z) = c (where c is a constant), an image data storage unit that stores graph image data that is image data of a graph, and a first that accepts designation of a position on the coordinate system The first numerical value acquisition unit, the first numerical value acquisition unit that acquires the z-axis numerical value that is the z-axis value corresponding to the position received by the first position specification reception unit, and the first numerical value acquisition unit An xy coordinate plane that is image data of a two-dimensional graph corresponding to the relationship between the x-axis value and the y-axis value when the z-axis numerical value is substituted into the function, and the xy coordinate plane in which the two-dimensional graph exists. First image generation unit for generating image data and designation of position on xy coordinate plane A second position designation accepting unit that accepts, a second numerical value obtaining unit that obtains a y-axis numeric value corresponding to a position on the xy coordinate plane received by the second position designation accepting unit, A calculation unit that calculates an x-axis value that is an x-axis value when the z-axis value acquired by the first numerical value acquisition unit and the y-axis value acquired by the second numerical value acquisition unit are substituted into the function; An image of a point graphic that is a figure indicating a position on the coordinate system corresponding to the z-axis numerical value acquired by the numerical value acquisition unit, the y-axis numerical value acquired by the second numerical value acquisition unit, and the x-axis numerical value calculated by the calculation unit Point graphic image data that is data, x-axis numerical image data that is image data of x-axis numerical values, y-axis numerical image data that is image data of y-axis numerical values, and z-axis numerical values that are image data of z-axis numerical values A second image generation unit for generating image data and an image data storage unit Read coordinate system image data and graph image data, xy coordinate plane image data generated by the first image generation unit, point graphic image data generated by the second image generation unit, x-axis numerical image data, y-axis An image display unit for displaying numerical image data and z-axis numerical image data, and the first position designation receiving unit is configured to display a graphical user interface on the coordinate system of the coordinate system image data displayed by the image display unit. The second position designation accepting unit may accept the position designation via the graphical user interface on the xy coordinate plane of the xy coordinate plane image data displayed by the image display unit. .

With such a configuration, the z-axis value of the graph displayed in the three-dimensional coordinate system is designated using the GUI, and the y-axis value of the two-dimensional graph corresponding to the z-axis value is further specified. By specifying using the GUI, a point graphic can be displayed at a position on the graph corresponding to those values, and coordinates on the graph corresponding to the point graphic can also be displayed. The displayed coordinates are surely values corresponding to the points on the graph. Further, by designating an arbitrary point, a value corresponding to the arbitrary point on the graph is displayed. Further, since a graph is also displayed, it is possible to easily grasp what function z = f (x, y) or g (x, y, z) = c is.

In the electronic function graph display device according to the present invention, coordinate system image data that is image data of a three-dimensional coordinate system having an x-axis, a y-axis, and a z-axis, and a function z = f (x, y) or g. (X, y, z) = c (where c is a constant) an image data storage unit that stores graph image data that is image data of a graph, and a position specification that accepts specification of a position on the coordinate system The intersection of the reception unit, the straight line acquisition unit that acquires a straight line expression in the coordinate system according to the position on the coordinate system received by the position designation reception unit, the straight line expression acquired by the straight line acquisition unit, and the function A coordinate system corresponding to an x-axis value that is an x-axis value, a y-axis value that is a y-axis value, and a z-axis value that is a z-axis value corresponding to the intersection calculated by the calculation unit Point diagram which is image data of point figure which is figure showing the upper position Image data, x-axis numerical image data that is x-axis numerical image data, y-axis numerical image data that is y-axis numerical image data, and z-axis numerical image data that is z-axis numerical image data are generated Image generating unit, coordinate system image data and graph image data read from the image data storage unit, point graphic image data generated by the image generating unit, x-axis numerical image data, y-axis numerical image data, and z-axis numerical value An image display unit that displays image data, and the position designation receiving unit may receive a position designation via a graphical user interface on the coordinate system of the coordinate system image data displayed by the image display unit. .

With such a configuration, by designating a point on the graph displayed in the three-dimensional coordinate system, a point graphic can be displayed at a position corresponding to the point, and on the graph corresponding to the point graphic. Coordinates can also be displayed. The displayed coordinates are surely values corresponding to the points on the graph. Further, by designating an arbitrary point, a value corresponding to the arbitrary point on the graph is displayed. Further, since a graph is also displayed, it is possible to easily grasp what function z = f (x, y) or g (x, y, z) = c is.

In the electronic function graph display device according to the present invention, when the intersection calculated by the calculation unit is two or more points, the image generation unit is an auxiliary line image that is image data of an auxiliary line corresponding to the two or more points. The image display unit also displays the auxiliary line image data generated by the image generation unit, the position designation receiving unit accepts the designation of the position on the auxiliary line, and the position designation receiving unit receives the data on the auxiliary line received by the position designation receiving unit. A numerical value acquisition unit that acquires an x-axis numerical value, a y-axis numerical value, and a z-axis numerical value corresponding to the position of The corresponding x-axis numerical image data, y-axis numerical image data, and z-axis numerical image data may also be generated.

With such a configuration, when there are two or more coordinates on the graph corresponding to the point specified on the graph, one point can be specified using the auxiliary line.

In the coordinate acquisition device according to the present invention, an image data storage unit that stores coordinate system image data that is image data of a three-dimensional coordinate system having an x-axis, a y-axis, and a z-axis, and a position on the coordinate system A first position designation accepting unit that accepts the designation, a straight line obtaining unit that obtains a straight line expression in the coordinate system according to the position on the coordinate system accepted by the first position designation accepting unit, and a first position An image generation unit that generates auxiliary line image data that is image data of an auxiliary line that passes through a position received by the designation reception unit, coordinate system image data read from the image data storage unit, and an auxiliary line image generated by the image generation unit An image display unit for displaying data, a second position designation receiving unit for accepting designation of a position on the auxiliary line, a straight line expression obtained by the straight line obtaining unit, and a position accepted by the second position designation accepting unit Use the first position A numerical value acquisition unit that acquires an x-axis value that is an x-axis value, a y-axis value that is a y-axis value, and a z-axis value that is a z-axis value according to the position received by the fixed reception unit; And a numerical value output unit that outputs the x-axis numerical value, the y-axis numerical value, and the z-axis numerical value acquired by the unit, the first position designation receiving unit on the coordinate system of the coordinate system image data displayed by the image display unit The second position designation accepting unit accepts the position designation via the graphical user interface on the auxiliary line of the auxiliary line image data displayed by the image display unit. Also good.

With such a configuration, it is possible to uniquely specify and acquire the coordinates in the three-dimensional coordinate system corresponding to the position specified in the three-dimensional coordinate system displayed on the two-dimensional plane.

In the electronic function graph display device according to the present invention, the auxiliary line is a straight line projected on the xy plane according to the straight line expression obtained by the straight line obtaining unit, and the numerical value obtaining unit receives the second position designation. By acquiring at least one of the x-axis numerical value and the y-axis numerical value corresponding to the position received by the unit, and substituting at least one of the x-axis numerical value and the y-axis numerical value into a linear equation, the x-axis numerical value, the y-axis numerical value, And the z-axis numerical value may be acquired.
With such a configuration, the coordinates in the three-dimensional coordinate system can be uniquely specified by using the straight line projected on the xy plane as an auxiliary line.

Further, in the electronic function graph display device according to the present invention, the auxiliary line displays a straight line according to the straight line equation acquired by the straight line acquisition unit in a visual line direction different from the visual line direction according to the coordinate system, The numerical value acquisition unit may acquire an x-axis numerical value, a y-axis numerical value, and a z-axis numerical value corresponding to the position received by the second position designation receiving unit.

With such a configuration, by changing the line-of-sight direction, a straight line corresponding to the designated position can be displayed as a straight auxiliary line on the two-dimensional plane. By using the auxiliary line, a three-dimensional line can be displayed. Coordinates in the coordinate system can be uniquely specified.

In the electronic function graph display device according to the present invention, the image generation unit is on the x-axis, y-axis, and z-axis according to the x-axis numerical value, y-axis numerical value, and z-axis numerical value acquired by the numerical value acquisition unit. Specific graphic image data that is image data of a specific graphic for specifying the position may also be generated, and the image display unit may display the specific graphic image data.
With such a configuration, in the three-dimensional coordinate system displayed on the two-dimensional plane, the value of each axis corresponding to the designated position can be indicated by the specific figure.

According to the electronic function graph display device and the like according to the present invention, it is possible to acquire coordinates according to an arbitrary point on the graph displayed in the coordinate system. In addition, according to the coordinate acquisition device or the like according to the present invention, the coordinates in the three-dimensional coordinate system corresponding to the position specified in the three-dimensional coordinate system displayed on the two-dimensional plane are uniquely specified and acquired. Will be able to.

The block diagram which shows the structure of the electronic function graph display apparatus by Embodiment 1 of this invention. The flowchart which shows operation | movement of the electronic function graph display apparatus by the embodiment The flowchart which shows operation | movement of the electronic function graph display apparatus by the embodiment The figure which shows an example of the display in the embodiment The figure which shows an example of the display in the embodiment The block diagram which shows an example of the other structure of the electronic function graph display apparatus by the embodiment The block diagram which shows the structure of the electronic function graph display apparatus by Embodiment 2 of this invention. The flowchart which shows operation | movement of the electronic function graph display apparatus by the embodiment The flowchart which shows operation | movement of the electronic function graph display apparatus by the embodiment The figure which shows an example of the display in the embodiment The block diagram which shows the structure of the electronic function graph display apparatus by Embodiment 3 of this invention. The flowchart which shows operation | movement of the electronic function graph display apparatus by the embodiment The flowchart which shows operation | movement of the electronic function graph display apparatus by the embodiment The figure which shows an example of the display in the embodiment The block diagram which shows the structure of the electronic function graph display apparatus by Embodiment 4 of this invention. The flowchart which shows operation | movement of the electronic function graph display apparatus by the embodiment The flowchart which shows operation | movement of the electronic function graph display apparatus by the embodiment The flowchart which shows operation | movement of the electronic function graph display apparatus by the embodiment The figure for demonstrating acquisition of the formula of the straight line in the embodiment The figure which shows an example of the display in the embodiment The figure which shows an example of the display in the embodiment The figure which shows an example of the display in the embodiment The block diagram which shows the structure of the coordinate acquisition apparatus by Embodiment 5 of this invention. The flowchart which shows operation | movement of the coordinate acquisition apparatus by the embodiment The figure which shows an example of the display in the embodiment The figure which shows an example of the display in the embodiment The figure which shows an example of the display in the embodiment The figure which shows an example of the display in the embodiment The figure which shows an example of the display in the embodiment The schematic diagram which shows an example of the external appearance of the computer system in the said embodiment The figure which shows an example of a structure of the computer system in the said embodiment.

Hereinafter, an electronic function graph display device and a coordinate acquisition device according to the present invention will be described using embodiments. In the following embodiments, components and steps denoted by the same reference numerals are the same or equivalent, and repetitive description may be omitted.

(Embodiment 1)
An electronic function graph display device 1 according to Embodiment 1 of the present invention will be described with reference to the drawings. The electronic function graph display device 1 according to the present embodiment designates a position on a graph displayed in a two-dimensional coordinate system, and acquires coordinates corresponding to the designated position.

FIG. 1 is a block diagram showing a configuration of an electronic function graph display device 1 according to the present embodiment. The electronic function graph display device 1 according to the present embodiment includes an image data storage unit 11, a position designation receiving unit 12, a numerical value acquisition unit 13, a calculation unit 14, an image generation unit 15, and an image display unit 16. Prepare.

The image data storage unit 11 stores coordinate system image data that is image data of a two-dimensional coordinate system having an x-axis and a y-axis. The image data storage unit 11 stores graph image data that is image data of a graph of the function y = f (x). The x axis and the y axis may or may not constitute an orthogonal coordinate system (for example, the x axis and the y axis constitute an oblique coordinate system. Also good). In the coordinate system image data, a character string (for example, “height (cm)”) indicating the name of a variable corresponding to the x axis may be included in the vicinity of the x axis. In the coordinate system image data, a character string (for example, “weight (kg)”) indicating the name of a variable corresponding to the y axis may be included in the vicinity of the y axis. In the coordinate system image data, the x-axis and the y-axis may include variable scale figures and numerical values corresponding to some or all of the scales. The graph image data is assumed to be image data of a graph displayed within the range of the x axis and the y axis of the coordinate system of the coordinate system image data. That is, it is preferable that the maximum x value, the minimum x value, the maximum y value, and the minimum y value of the graph are included in the x-axis and y-axis ranges of the coordinate system image data. It is. The coordinate system image data and the graph image data may be any data that can display a two-dimensional coordinate system image or a graph image of the function y = f (x) as a result. It may be the data itself, or may be data that becomes an image by being rasterized like vector data, or may be character-based data. The same applies to the coordinate system image data and graph image data in the other embodiments.

The process in which the coordinate system image data and the like are stored in the image data storage unit 11 does not matter. For example, coordinate system image data or the like may be stored in the image data storage unit 11 via a recording medium, and coordinate system image data or the like transmitted via a communication line or the like may be stored in the image data storage unit 11. The coordinate system image data or the like input via the input device may be stored in the image data storage unit 11. Storage in the image data storage unit 11 may be temporary storage in a RAM or the like, or may be long-term storage. In the former case, for example, the image data storage unit 11 may be considered as a VRAM in which image data before display is buffered. In that case, the image generation unit 15 described later and other components may store the image data in the image data storage unit 11. The image data storage unit 11 can be realized by a predetermined recording medium (for example, a semiconductor memory, a magnetic disk, an optical disk, etc.).

The position designation accepting unit 12 accepts designation of a position on the coordinate system. The position on the coordinate system is received on the coordinate system of the coordinate system image data displayed by the image display unit 16 via a graphical user interface (GUI). The designation of the position input via the GUI may be, for example, an instruction for movement by dragging, designation of a position by clicking, or designation of another position.

The position designation receiving unit 12 may receive, for example, designation of a position input from a pointing device (for example, a mouse, a trackball, a pen tablet, a touch pad, a pointing stick, a joystick, etc.), wired or wireless communication A location designation sent via the line may be received. The position designation receiving unit 12 may or may not include a device (for example, a modem or a network card) for receiving. Further, the position designation receiving unit 12 may be realized by hardware, or may be realized by software such as a driver that drives a predetermined device.

The numerical value acquisition unit 13 acquires an x-axis numerical value that is an x-axis value corresponding to the position on the coordinate system received by the position designation reception unit 12 (this x-axis numerical value is “a”). For example, the numerical value acquisition unit 13 detects the position on the display screen received by the position designation reception unit 12 and converts the position into a position on a two-dimensional coordinate system, thereby calculating the x-axis numerical value “a”. You may get it. In the present embodiment, the position on the display screen received by the position designation receiving unit 12 is detected, and the x-axis numerical value “a” is acquired by converting the position into a position on a two-dimensional coordinate system. The case will be described. A specific method for acquiring the x-axis numerical value will be described later.

The calculation unit 14 uses the x-axis numerical value acquired by the numerical value acquisition unit 13 and substitutes the x-axis numerical value “a” for x of the function y = f (x), that is, the value y = f (a). A certain y-axis numerical value is calculated. Information indicating the function y = f (x) is stored in a recording medium (not shown), and the calculation unit 14 reads information indicating the function y = f (x) from the recording medium, and the numerical value acquisition unit 13 The y-axis numerical value “f (a)” may be calculated by substituting the acquired x-axis numerical value “a”.

The image generation unit 15 generates point graphic image data, x-axis numerical image data, and y-axis numerical image data. These data will be described with reference to FIG. 4 described later.

The point graphic image data is image data of the point graphic 105. The point graphic 105 is a graphic indicating the position on the two-dimensional coordinate system image 100 indicated by the coordinate system image data. The point graphic 105 is displayed on the graph image 103 of the function y = f (x). Accordingly, by looking at the point graphic 105, the position of the function y = f (x) on the graph can be visually confirmed. As shown in FIG. 4, the point graphic 105 may be a point graphic (round graphic), or other graphic such as a cross, triangle, or square. It should be noted that any shape of the point graphic 105 may be used for the point graphic in the other embodiments.

The image generation unit 15 is a point graphic image that is image data of the point graphic 105 at a position on the coordinate system corresponding to the x-axis numerical value acquired by the numerical value acquisition unit 13 and the y-axis numerical value calculated by the calculation unit 14. Generate data. When the position designation accepting unit 12 accepts designation of a new position, the point figure image data corresponding to the point figure 105 displayed so far is erased, and the point figure corresponding to the newly designated position is deleted. Image data may be generated. Note that generating point graphic image data corresponding to a certain position means generating point graphic image data for displaying the point graphic 105 at that position.

The point graphic image data is image data of the point graphic 105, and may be an image itself such as raster data, for example, as long as the image data can finally display the point graphic 105. It may be data that becomes an image by being rasterized like vector data, or may be character-based data. The point graphic image data may be generated on the two-dimensional coordinate system image 100 indicated by the coordinate system image data, or may be generated separately from the coordinate system image 100. In the latter case, the point graphic image data preferably has information indicating the display position on the two-dimensional coordinate system image 100. Further, the point graphic image data may be temporarily stored in a recording medium (not shown), or may be temporarily stored in the image data storage unit 11. What is described in this paragraph is the same for other image data generated by the image generation unit 15. Also, what is described in this paragraph is the same for the point graphic image data and other image data generated by the image generation unit in the other embodiments.

The x-axis numerical image data is image data of the x-axis numerical value 106. The x-axis numerical value is acquired by the numerical value acquiring unit 13. By displaying the x-axis numerical value 106, the user can know the value of the x-axis 101 corresponding to the point graphic 105. The x-axis numerical value 106 may be displayed in the vicinity of the point graphic 105, for example, may be displayed in the vicinity of the position of the x-axis 101 corresponding to the value, or may be displayed in another position. May be. In addition, the display position of the x-axis numerical value 106 may or may not move according to the movement of the point graphic 105. The x-axis numerical image data is usually image data indicating numerical text.

Y-axis numerical image data is image data of the y-axis numerical value 107. The y-axis numerical value is calculated by the calculation unit 14. By displaying the y-axis numerical value 107, the user can know the value of the y-axis 102 corresponding to the point graphic 105. The y-axis numerical value 107 may be displayed, for example, in the vicinity of the point graphic 105, may be displayed in the vicinity of the position of the y-axis 102 corresponding to the value, or displayed at other positions. May be. Further, the display position of the y-axis numerical value 107 may or may not move according to the movement of the point graphic 105. The y-axis numerical image data is usually image data indicating numerical text.

The image generation unit 15 may generate the point graphic image data using the original image data stored in advance in a recording medium (not shown). The original image data may be, for example, image data of a graphic used as a point graphic (for example, a circular graphic), and frame image data used when generating x-axis numerical image data or the like. It may be image data such as “height:” and “weight:”, or other image data. What is described in this paragraph is the same when the image generation unit according to another embodiment generates image data.

Note that the image generation unit 15 may sequentially store the generated image data in a recording medium from which the image display unit 16 described later reads the image data. In this case, by storing the coordinate system image data and the graph image data in the recording medium in advance, the image display unit 16 can display the image data only by reading and displaying the image data from the recording medium. Will be able to do. In that case, the recording medium may be the image data storage unit 11. What is described in this paragraph is the same when the image generation unit according to another embodiment generates image data.

The image display unit 16 receives the coordinate system image data and the graph image data read from the image data storage unit 11, the point graphic image data, the x-axis numerical image data, and the y-axis numerical image data generated by the image generation unit 15. indicate. It is assumed that the image display unit 16 performs display output for finally performing image display related to coordinate system image data and the like. Therefore, the image display unit 16 may be, for example, a transmission unit that transmits image data or the like to a display device (for example, a CRT or a liquid crystal display). Further, the image display unit 16 may or may not include a display device that performs the display. The image display unit 16 may be realized by hardware, or may be realized by software such as a driver that drives a display device.

Next, the operation of the electronic function graph display device 1 according to the present embodiment will be described using the flowchart of FIG.
(Step S101) The image display unit 16 determines whether to display coordinate system image data or the like. If so, the process proceeds to step S102. If not, the process of step S101 is repeated until it is determined to be displayed. The image display unit 16 may determine to display the coordinate system image data or the like when receiving an instruction to display the coordinate system image data or the like, for example, or may display the coordinate system image data or the like at other timing. May be determined to be displayed.

(Step S102) The image display unit 16 displays the coordinate system image data and graph image data read from the image data storage unit 11 and the image data generated by the image generation unit 15. When displaying the coordinate system image data or the like for the first time, the image display unit 16 may display only the coordinate system image data and the graph image data, or the point graphic point at a predetermined position. Graphic image data, x-axis numerical image data corresponding to the point graphic, and y-axis numerical image data may also be displayed.

(Step S103) The position designation receiving unit 12 determines whether or not a position designation has been accepted. If the position designation is accepted, the process proceeds to step S104. If not, the process in step S103 is repeated until the position designation is accepted.

(Step S104) The image generation unit 15 or the like performs processing for generating point graphic image data in accordance with the designation of the position received by the position designation receiving unit 12. Details of this processing will be described later with reference to the flowchart of FIG. Then, the process returns to step S102.
In the flowchart of FIG. 2, the process is terminated by powering off or a process termination interrupt.

FIG. 3 is a flowchart showing details of processing (step S104) such as image generation in the flowchart of FIG.
(Step S201) The numerical value acquisition unit 13 acquires an x-axis numerical value corresponding to the position received by the position designation reception unit 12. The x-axis numerical value may be temporarily stored in a recording medium (not shown).

Here, acquisition of this numerical value will be briefly described. The numerical value acquisition unit 13 first acquires the coordinate value of the screen coordinate corresponding to the designated position. The acquisition of the coordinate value may be performed by, for example, an operation system (OS). The screen coordinates are, for example, a coordinate system in which the upper left end point of the display screen on which the coordinate system image 100 or the like in FIG. 4 is displayed is the origin, the X axis is the right direction, and the Y axis is the downward direction. . Further, for example, the upper left end point of the coordinate system shown in FIG. 4, that is, the point of (height, weight) = (140, 100) is taken as the origin, the X axis is taken to the right, and the Y axis is taken downward. Assume that the client coordinates that are the coordinate system are set. This client coordinate is assumed to be a rectangular area having vertices at points of (height, weight) = (140, 100), (140, 30), (190, 30), (190, 100). Further, the lower left end point of the client coordinate area is set to (height, weight) = (140, 30), and the upper right end point is set to (height, weight) = (190, 100). Shall. Then, the numerical value acquisition unit 13 converts the acquired coordinate value of the screen coordinate into the coordinate value of the client coordinate. Finally, the numerical value acquisition unit 13 can acquire the height value and the weight value by converting the client coordinates into (height, weight) coordinate values. Note that the conversion from the coordinate value of the screen coordinate to the coordinate value of the client coordinate is already known, and detailed description thereof is omitted. Also, the conversion from the coordinate value of the client coordinate to the coordinate value (height or weight) can be performed by simple coordinate conversion. For example, it is assumed that the coordinate system of (height, weight) is set as shown in FIG. 4, the maximum value of the client coordinate X-axis is A, and the maximum value of the Y-axis is B. Then, when the coordinate value of the client coordinates is (X, Y), it is as follows.
(Height, weight) = (140 + 50 × X / A, 100−70 × Y / B)

In addition, since the numerical value acquisition part 13 should acquire only an x-axis numerical value, it should just perform only the process which acquires an x-axis numerical value (in the case of the example of FIG. 4 a height value) among the said description. become.
In addition, the process for acquiring the coordinate value in this way is a process already known in the above-mentioned Non-Patent Document 1 and the like.

(Step S202) The calculation unit 14 calculates a y-axis numerical value which is a function value obtained by substituting the x-axis numerical value acquired by the numerical value acquisition unit 13. The y-axis numerical value may be temporarily stored in a recording medium (not shown).

(Step S203) The image generation unit 15 displays a point graphic image at a position on the coordinate system corresponding to the x-axis numerical value acquired by the numerical value acquisition unit 13 and the y-axis numerical value calculated by the calculation unit 14. Generate data. For example, the image generation unit 15 can acquire the position where the point graphic is displayed by converting the x-axis numerical value and the y-axis numerical value into client coordinates, screen coordinates, and the like. Note that a method of displaying a figure at a position corresponding to the coordinate value using the coordinate value is already known in graph drawing software and the like, and detailed description thereof will be omitted. The same applies to the case where the image generation unit generates point graphic image data in another embodiment.

(Step S204) The image generation unit 15 generates x-axis numerical image data that is x-axis numerical image data and y-axis numerical image data that is y-axis numerical image data. And it returns to the flowchart of FIG.

Next, the operation of the electronic function graph display device 1 according to this embodiment will be described using a specific example. In this specific example, it is assumed that the image display unit 16 displays each image data on a display.

In this specific example, it is assumed that the function y = f (x) is a function of BMI = 22. Ie, x is the height (cm), y equals weight (kg), and a y = f (x) = 22 × x 2/10000. BMI (Body Mass Index) is an index of the degree of obesity. The BMI corresponding to the standard weight is “22”. Therefore, by reading out the x-axis value and the y-axis value corresponding to the function of BMI = 22, it becomes possible to know the correspondence between the standard height and weight.

First, it is assumed that the user inputs an instruction to output the two-dimensional coordinate system image 100 to the electronic function graph display device 1 by operating a mouse or a keyboard. Then, the image display unit 16 determines that it is time to display the image data (step S101), reads the coordinate system image data and the graph image data from the image data storage unit 11, and outputs them to the display (step S102). ). As a result, the two-dimensional coordinate system shown in FIG. 4 has no display of the point graphic 105, the x-axis numerical value 106, and the y-axis numerical value 107, that is, a two-dimensional coordinate system having the x-axis 101 and the y-axis 102. The coordinate system image 100 and the graph image 103 are displayed on the display.

Next, assume that the user operates the mouse to move the mouse pointer 104 to a certain point on the coordinate plane and clicks the mouse at that position. Then, the position designation receiving unit 12 determines that the position designation has been received (step S103). Then, the image generation unit 15 and the like generate image data corresponding to the position clicked with the mouse (step S104).

Specifically, assume that the position of height “170 (cm)” is clicked. Then, the numerical value acquisition unit 13 converts the coordinate value of the x coordinate of the screen coordinates indicating the clicked position into the coordinate value of the client coordinate, and further converts the coordinate value to the x axis numerical value. "Is acquired (step S201). The x-axis numerical value is temporarily stored in a recording medium (not shown).

Subsequently, the computing unit 14 reads from the recording medium (not shown) function y = 22 × ^x 2/10000 mentioned above, as the value of the x, substitutes "170" as the numerical value acquiring unit 13 has acquired, the value of y Is calculated (step S202). The value of y, that is, the y-axis numerical value is “63.58 (kg)”.

Thereafter, the image generation unit 15 generates point graphic image data at a position corresponding to the x-axis numerical value “170” and the y-axis numerical value “63.58” (step S203). Further, the image generation unit 15 generates x-axis numerical image data and y-axis numerical image data respectively corresponding to the x-axis numerical value and the y-axis numerical value (step S204). In this specific example, the image generation unit 15 generates the x-axis numerical image data and the y-axis numerical image data so that the x-axis numerical value and the y-axis numerical value are displayed in the vicinity of the point graphic. To do. More specifically, in a recording medium (not shown), information indicating the relative positions of the x-axis numerical image data and the y-axis numerical image data with respect to the position of the point graphic is stored. The positions of the x-axis numerical image data and the y-axis numerical image data are determined using the position of the point graphic and the information thereof.

The image display unit 16 displays the point graphic image data generated by the image generation unit 15 on the display (step S102). As a result, the display shown in FIG. 4 is performed. In FIG. 4, the x-axis numerical value 106 and the y-axis numerical value 107 are surrounded by a rectangular frame, but the image generation unit 15 may appropriately generate an image such as such a frame.

Note that the user can move the point graphic 105 by looking at the display of FIG. 4 and clicking another position with the mouse pointer 104 or dragging the point graphic 105. When moved in such a manner, the x-axis numerical value at the new position is acquired in the same manner as described above (step S201), and the y-axis numerical value corresponding to the x-axis numerical value is calculated (step S201). S202), point graphic image data is generated at a new position (step S203), x-axis numerical image data corresponding to a new x-axis numerical value, etc. is generated (step S204), and these images are displayed on the display. (Step S102).

In this specific example, the image generation unit 15 may also generate other image data. For example, the image generation unit 15 may generate a drop line (fall line) that extends from the point graphic 105 to a corresponding position on the x-axis and the y-axis. For example, the X-axis value of the screen coordinate corresponding to the point graphic 105 is A, the Y-axis value is B, the x-axis 101 exists on a straight line where the Y-axis of the screen coordinate is C, and the y-axis When 102 is on a straight line whose screen coordinate X-axis is D, the image generation unit 15 displays a drop line figure which is a line segment from (A, B) to (A, C). Dropline graphic image data may be generated. Similarly, the image generation unit 15 may generate drop line graphic image data for displaying a drop line graphic that is a line segment from (A, B) to (D, B). Further, client coordinates may be used instead of screen coordinates.

As described above, according to the electronic function graph display device 1 according to the present embodiment, the function y = f (x) is visualized by the graph image displayed on the coordinate system. It is possible to know the x-axis numerical value and the y-axis numerical value corresponding to the point. In particular, the point on the graph can be specified by specifying the x-axis value. In the case of the specific example described above, the relationship between the height and the weight corresponding to the standard weight BMI (= 22) can be known by looking at the displayed graph, and on the graph designated by the mouse pointer. The height and weight corresponding to the point (point figure) can be known.

In the present embodiment, the case has been described in which the numerical value acquisition unit 13 acquires the x-axis numerical value corresponding to the position received by the position designation reception unit 12, but this need not be the case. The numerical value acquisition unit 13 may acquire a y-axis numerical value that is a y-axis value corresponding to the position on the coordinate system received by the position designation reception unit 12. In that case, the calculation unit 14 calculates an x-axis numerical value that is a value of the x-axis when the y-axis numerical value acquired by the numerical value acquisition unit 13 is substituted into the function y = f (x). In this case, the x-axis numerical value calculated by the calculating unit 14 may be singular, but may be a plurality of discrete values, or may be a value having a continuous range. Also in this case, the image generation unit 15 is a point graphic that is a graphic indicating the position on the coordinate system corresponding to the y-axis numerical value acquired by the numerical value acquisition unit 13 and the x-axis numerical value calculated by the calculation unit 14. Point graphic image data as image data, x-axis numerical image data as x-axis numerical image data, and y-axis numerical image data as y-axis numerical image data are generated. In addition, when the x-axis numerical value calculated by the calculation unit 14 is a plurality of discrete values, a plurality of point graphic image data is generated. When the x-axis numerical value calculated by the calculation unit 14 is a value having a continuous range, line segment or curved point graphic image data having a continuous length is generated. Even in this case, it is the same as the above description except that the numerical value acquisition unit 13 acquires the y-axis value and the calculation unit 14 calculates the x-axis value, and the detailed description thereof is omitted. For example, in a situation similar to the above-described specific example, as shown in FIG. 5, when the user clicks the position of the weight “71.28 (kg)” with the mouse pointer 104, the y-axis numerical value “71. 28 ”is acquired, the x-axis numerical value“ 180 (cm) ”is calculated, the point graphic 105 is displayed at a position corresponding to those values, and those values are displayed in the vicinity of the point graphic 105 become.

In the present embodiment, graph image data of the function y = f (x) is displayed, and a y-axis numerical value corresponding to the x-axis numerical value acquired by the numerical value acquiring unit 13 is calculated using the function. The function may not be y = f (x), for example, the function g (x, y) = c may be used. Here, “c” is a constant. The “c” is preferably a real number. In this case, graph image data of function g (x, y) = c is stored in the image data storage unit 11, and the function g is stored in a recording medium (not shown) accessible by the calculation unit 14. (X, y) = c will be stored. In addition, when the function g (x, y) = c is used instead of the function y = f (x), the point graphic has two or more points, or a line segment or curve having a continuous length. There is a possibility of becoming.

Also, the range of the coordinate system to be displayed may be changed. The change may be, for example, a change in the displayed definition range or value range, enlargement / reduction, or other change. In that case, in order to change the coordinate system image data and the graph image data, the electronic function graph display device 1 further includes a change reception unit 17 and a graph generation unit 18, as shown in FIG. Also good. The change receiving unit 17 receives an instruction related to changing the displayed coordinate system. For example, as described above, the instruction includes an instruction to move the x-axis display range, an instruction to move the y-axis display range, an instruction to enlarge / reduce the x-axis display range, An instruction to enlarge / reduce the display range of the y-axis may be used. The graph generation unit 18 generates new coordinate system image data or graph image data in accordance with the instruction received by the change reception unit 17 and accumulates the image data in the image data storage unit 11. For example, when the change receiving unit 17 receives an instruction regarding a change to increase the display range of the x axis by 50 as a whole, the graph generation unit 18 sets the coordinates where the x axis is “+50” as a whole. System image data is generated and stored in the image data storage unit 11. For example, when the coordinate system image data before the change is as shown in FIG. 4, the range of the x-axis of the coordinate system image data after the change is 190 to 240 (cm). In addition, the graph generation unit 18 generates graph image data corresponding to the x-axis range and stores the graph image data in the image data storage unit 11. The change of the coordinate system and the graph is already known in commercially available graph drawing software and the like, and detailed description thereof will be omitted.

Further, in the present embodiment, only the case where one graph is displayed has been described, but two or more graphs may be displayed. That is, two or more pieces of graph image data are stored in the image data storage unit 11, and the image display unit 16 may display those two or more pieces of graph image data. When two or more pieces of graph image data are displayed, the numerical value acquisition unit 13 acquires a numerical value related to the graph closest to the position received by the position designation reception unit 12, and the calculation unit 14 also The calculation using the function of the graph may be performed.

Further, when the calculation unit 14 calculates the y-axis numerical value and the x-axis numerical value using the x-axis numerical value and the y-axis numerical value acquired by the numerical value acquisition unit 13, in the domain of the coordinate system image data and the range of the value range. What is necessary is just to calculate. That is, when the y-axis numerical value or the x-axis numerical value that is calculated by the calculating unit 14 exceeds the domain of the coordinate system image data or the range of the value range, the calculating unit 14 does not use the value of the calculation result. May be. This is because the point graphic corresponding to the value cannot be displayed on the coordinate system. Similarly, when there are two or more calculation results or when the calculation results have a continuous range, the calculation may be performed in the domain of the coordinate system or the range of the value range. Further, when it is difficult to calculate analytically, the calculation unit 14 may perform approximate calculation in a finite step by numerical calculation.

(Embodiment 2)
An electronic function graph display device 2 according to Embodiment 2 of the present invention will be described with reference to the drawings. The electronic function graph display device 2 according to the present embodiment designates x-axis and y-axis values in a three-dimensional coordinate system, calculates z-axis values corresponding to the values, and displays those values. The point graphic is displayed at the corresponding position.

FIG. 7 is a block diagram showing a configuration of the electronic function graph display device 2 according to the present embodiment. The electronic function graph display device 2 according to the present embodiment includes an image data storage unit 21, a position designation receiving unit 22, a numerical value acquisition unit 23, a calculation unit 24, an image generation unit 25, and an image display unit 26. Prepare.

The image data storage unit 21 stores coordinate system image data that is image data of a three-dimensional coordinate system having an x-axis, a y-axis, and a z-axis. The image data storage unit 21 stores graph image data that is image data of a graph of the function z = f (x, y). Each axis of the coordinate system, that is, the x axis, the y axis, and the z axis may or may not constitute an orthogonal coordinate system. Even when the coordinate system is an orthogonal coordinate system, the axes do not have to be orthogonal as shown in FIG. 10 for the convenience of displaying a three-dimensional coordinate system on a two-dimensional plane. In addition, a character string indicating the name of the variable corresponding to the axis may be included in the vicinity of each axis, and each axis may include a graphic of the variable scale or a numerical value corresponding to the memory. What is good is the same as in the first embodiment. Further, it is assumed that the graph image data is image data of a graph displayed within the range of the x axis, the y axis, and the z axis of the coordinate system of the coordinate system image data. That is, the maximum x value, the minimum x value, the maximum y value, the minimum y value, the maximum z value, and the minimum z value of the graph are the x-axis of the coordinate system image data, It is preferable that it is included in the range of the y-axis and the z-axis.

The process in which the coordinate system image data and the like are stored in the image data storage unit 21 does not matter. For example, coordinate system image data or the like may be stored in the image data storage unit 21 via a recording medium, and coordinate system image data or the like transmitted via a communication line or the like may be stored in the image data storage unit 21. The image data storage unit 21 may store the coordinate system image data or the like input via the input device. Storage in the image data storage unit 21 may be temporary storage in a RAM or the like, or may be long-term storage. In the former case, for example, the image data storage unit 21 may be considered as a VRAM in which image data before display is buffered. The image data storage unit 21 can be realized by a predetermined recording medium (for example, a semiconductor memory, a magnetic disk, an optical disk, etc.).

The position designation accepting unit 22 accepts designation of a position on the xy coordinate plane on the coordinate system. The position on the coordinate system is received via the GUI on the coordinate system of the coordinate system image data displayed by the image display unit 26. The designation of the position input via the GUI may be, for example, an instruction for movement by dragging, designation of a position by clicking, or designation of another position. Note that the xy coordinate plane displayed by the image display unit 26 is normally an oblique coordinate system. This is because when a three-dimensional coordinate system is displayed on a two-dimensional plane, it is normally an oblique coordinate system.

The position designation receiving unit 22 may receive, for example, designation of a position input from a pointing device (for example, a mouse, a trackball, a pen tablet, a touch pad, a pointing stick, a joystick, etc.), wired or wireless communication A location designation sent via the line may be received. The position designation receiving unit 22 may or may not include a device (for example, a modem or a network card) for receiving. The position designation receiving unit 22 may be realized by hardware, or may be realized by software such as a driver that drives a predetermined device.

The numerical value acquisition unit 23 corresponds to the position on the coordinate system received by the position designation reception unit 22, the x-axis numerical value that is the x-axis value (this x-axis numerical value is “a”), and the y-axis value. Y-axis numerical value (this y-axis numerical value is “b”). For example, the numerical value acquisition unit 23 detects the position on the display screen received by the position designation reception unit 22 and converts the position into a position on the xy coordinate plane, thereby obtaining an x-axis numerical value “a” and a y-axis numerical value. “B” can be acquired. This processing can be performed by the conversion from the screen coordinates to the client coordinates and the conversion from the client coordinates to the xy coordinate plane described in the first embodiment. However, in the conversion from the client coordinates to the xy coordinate plane, the conversion to the oblique coordinate system is performed. For example, if the coordinate value in the orthogonal coordinate system (X, Y) is (A, B), the coordinate value (C, D) in the oblique coordinate system (x, y) is (C, D) = (A −B / tan θ, B / sin θ). However, the X axis and the x axis are in the same direction, the origins in both coordinate systems are the same, and the angle formed by the x axis and the y axis is θ. Note that the y-axis is preferably present in the first quadrant or the second quadrant of the orthogonal coordinate system. Therefore, after calculating the coordinate value in the orthogonal coordinate system as described in Embodiment 1, the numerical value acquisition unit 23 converts the coordinate value into the coordinate value in the oblique coordinate system, so that the numerical value acquisition unit 23 It is also possible to acquire the numerical value “a” and the y-axis numerical value “b”. Note that the process of acquiring the coordinate value at the position specified in the oblique coordinate system is already known, and a detailed description thereof will be omitted.

The calculation unit 24 substitutes the x-axis numerical value “a” and the y-axis numerical value “b” for the function z = f (x, y) using the x-axis numerical value and the y-axis numerical value acquired by the numerical value acquiring unit 23. That is, the z-axis numerical value that is the value of f (a, b) is calculated. Information indicating the function z = f (x, y) is stored in a recording medium (not shown), and the calculation unit 24 reads information indicating the function z = f (x, y) from the recording medium, The z-axis value “f (a, b)” may be calculated by substituting the x-axis value “a” and the y-axis value “b” acquired by the acquisition unit 23.

The image generation unit 25 generates point graphic image data, x-axis numerical image data, y-axis numerical image data, and z-axis numerical image data. These data will be described with reference to FIG. 10 described later.

The point graphic image data is image data of the point graphic 105. The point graphic 105 is a graphic indicating the position on the three-dimensional coordinate system image 100 indicated by the coordinate system image data. The point graphic 105 is displayed on the graph image 103 of the function z = f (x, y). Therefore, by looking at the point graphic 105, the position of the function z = f (x, y) on the graph can be visually confirmed.

The image generation unit 25 uses the image data of the point graphic 105 at the position on the coordinate system corresponding to the x-axis numerical value and the y-axis numerical value acquired by the numerical value acquisition unit 23 and the z-axis numerical value calculated by the calculation unit 24. A point graphic image data is generated. When the position designation accepting unit 22 accepts designation of a new position, the point figure image data corresponding to the point figure 105 displayed so far is deleted, and the point figure corresponding to the newly designated position is deleted. Image data may be generated. Note that generating point graphic image data corresponding to a certain position means generating point graphic image data for displaying the point graphic 105 at that position.

The x-axis numerical image data is image data of the x-axis numerical value 106. The x-axis numerical value is acquired by the numerical value acquiring unit 23. By displaying the x-axis numerical value 106, the user can know the value of the x-axis 101 corresponding to the point graphic 105. The x-axis numerical value 106 may be displayed in the vicinity of the point graphic 105, for example, may be displayed in the vicinity of the position of the x-axis 101 corresponding to the value, or may be displayed in another position. May be. In addition, the display position of the x-axis numerical value 106 may or may not move according to the movement of the point graphic 105. The x-axis numerical image data is usually image data indicating numerical text.

Y-axis numerical image data is image data of the y-axis numerical value 107. The y-axis numerical value is acquired by the numerical value acquisition unit 23. By displaying the y-axis numerical value 107, the user can know the value of the y-axis 102 corresponding to the point graphic 105. The y-axis numerical value 107 may be displayed, for example, in the vicinity of the point graphic 105, may be displayed in the vicinity of the position of the y-axis 102 corresponding to the value, or displayed at other positions. May be. Further, the display position of the y-axis numerical value 107 may or may not move according to the movement of the point graphic 105. The y-axis numerical image data is usually image data indicating numerical text.

The z-axis numerical image data is image data of the z-axis numerical value 111. The z-axis numerical value is calculated by the calculation unit 24. By displaying the z-axis numerical value 111, the user can know the value of the z-axis 110 corresponding to the point graphic 105. The z-axis numerical value 111 may be displayed, for example, in the vicinity of the point graphic 105, may be displayed in the vicinity of the position of the z-axis 110 corresponding to the value, or may be displayed in other positions. May be. In addition, the display position of the z-axis numerical value 111 may be moved according to the movement of the point graphic 105 or may not be so. The z-axis numerical image data is usually image data indicating numerical text.

The image display unit 26 includes coordinate system image data and graph image data read from the image data storage unit 21, point graphic image data generated by the image generation unit 25, x-axis numerical image data, y-axis numerical image data, and z Axis numerical image data is displayed. It is assumed that the image display unit 26 performs display output for finally performing image display related to coordinate system image data and the like. Therefore, the image display unit 26 may be, for example, a transmission unit that transmits image data or the like to a display device (for example, a CRT or a liquid crystal display). Further, the image display unit 26 may or may not include a display device that performs the display. The image display unit 26 may be realized by hardware, or may be realized by software such as a driver that drives a display device.

Next, the operation of the electronic function graph display apparatus 2 according to the present embodiment will be described with reference to the flowchart of FIG.
(Step S301) The image display unit 26 determines whether to display coordinate system image data or the like. If so, the process proceeds to step S302; otherwise, the process of step S301 is repeated until it is determined to be displayed. The image display unit 26 may determine to display the coordinate system image data or the like when receiving an instruction to display the coordinate system image data or the like, for example, or may display the coordinate system image data or the like at other timing. May be determined to be displayed.

(Step S302) The image display unit 26 displays the coordinate system image data and graph image data read from the image data storage unit 21 and the image data generated by the image generation unit 25. When displaying the coordinate system image data or the like for the first time, the image display unit 26 may display only the coordinate system image data and the graph image data, or the point graphic point at a predetermined position. Graphic image data and x-axis numerical image data corresponding to the point graphic may also be displayed.

(Step S303) The position designation receiving unit 22 determines whether or not a position designation has been accepted. If the position designation is accepted, the process proceeds to step S304. If not, the process in step S303 is repeated until the position designation is accepted.

(Step S304) The image generation unit 25 or the like performs processing for generating point graphic image data in accordance with the designation of the position received by the position designation receiving unit 22. Details of this processing will be described later with reference to the flowchart of FIG. Then, the process returns to step S302.
In the flowchart of FIG. 8, the process ends when the power is turned off or the process is terminated.

FIG. 9 is a flowchart showing details of processing (step S304) such as image generation in the flowchart of FIG.
(Step S401) The numerical value acquisition unit 23 acquires an x-axis numerical value and a y-axis numerical value corresponding to the position received by the position designation receiving unit 22. The x-axis numerical value may be temporarily stored in a recording medium (not shown). This processing can be realized by performing conversion from the screen coordinates to the client coordinates and conversion from the client coordinates to the xy coordinate plane, as in the first embodiment.

(Step S402) The calculation unit 24 calculates a z-axis numerical value which is a function value obtained by substituting the x-axis numerical value and the y-axis numerical value acquired by the numerical value acquiring unit 23. The z-axis numerical value may be temporarily stored in a recording medium (not shown).

(Step S403) The image generation unit 25 displays a point graphic at a position on the coordinate system corresponding to the x-axis numerical value and the y-axis numerical value acquired by the numerical value acquisition unit 23 and the z-axis numerical value calculated by the calculation unit 24. Point graphic image data is generated. A method in which the image generation unit 25 displays a figure at a position corresponding to the coordinate value using the x-axis numerical value, the y-axis numerical value, and the z-axis numerical value is already known in graph drawing software and the like, and a detailed description thereof will be given. Is omitted. For example, the image generation unit 25 can acquire the display position of the point graphic by converting the x-axis numerical value or the like into client coordinates.

(Step S404) The image generation unit 25 performs x-axis numerical image data that is image data of x-axis numerical values, y-axis numerical image data that is image data of y-axis numerical values, and z-axis that is image data of z-axis numerical values. Numerical image data is generated. And it returns to the flowchart of FIG.

Next, the operation of the electronic function graph display device 2 according to the present embodiment will be described using a specific example. In this specific example, the image display unit 26 displays each image data on a display.

Further, in this specific example, a function z = f (x, x, The case of using y) will be described. The function z = f (x, y) is as follows. The borrowing amount can also be called a principal. Repayment years can also be called borrowing years. In the present embodiment, it is assumed that M = 20.

z = f (x, y) = {1− (1 + x / 12) ^{−12 × y} } × (12 / x) × M
x: Annual interest rate y: Years of repayment z: Amount of borrowing (10,000 yen)
M: Monthly repayment (10,000 yen)

First, it is assumed that the user inputs an instruction to output the three-dimensional coordinate system image 100 to the electronic function graph display device 2 by operating a mouse or a keyboard. Then, the image display unit 26 determines that it is time to display the image data (step S301), reads the coordinate system image data and the graph image data from the image data storage unit 21, and outputs them to the display (step S302). ). As a result, in the three-dimensional coordinate system shown in FIG. 10, the screen without the point graphic 105, the x-axis numerical value 106, the y-axis numerical value 107, and the z-axis numerical value 111, ie, the x-axis 101 and the y-axis 102 is displayed. , The three-dimensional coordinate system image 100 having the z axis 110 and the graph image 103 are displayed on the display.

Next, assume that the user operates the mouse to move the mouse pointer 104 to a certain point on the xy coordinate plane and clicks the mouse at that position. Then, the position designation receiving unit 22 determines that the position designation has been received (step S303). Then, the image generating unit 25 and the like generate image data corresponding to the position clicked with the mouse (step S304).

Specifically, suppose that the position of annual interest rate “0.04” and repayment years “40” is clicked. Then, the numerical value acquisition unit 23 converts the coordinate values of the X and Y coordinates of the screen coordinates indicating the clicked position into the coordinate values of the client coordinates, and further converts them into x-axis numerical values and y-axis numerical values. Thus, the x-axis numerical value “0.04” and the y-axis numerical value “40” are acquired (step S401). The x-axis numerical value and the like are temporarily stored in a recording medium (not shown).

Next, the calculation unit 24 reads the above-described function z = {1− (1 + x / 12) ^{−12 × y} } × (12 / x) × 20 from a recording medium (not shown), and uses the x and y values as “0.04” and “40” acquired by the numerical value acquisition unit 23 are respectively substituted to calculate the value of z (step S402). The value of z, that is, the z-axis numerical value is “4785 (10,000 yen)”. In this calculation, values less than 10,000 yen are rounded off.

After that, the image generation unit 25 generates point graphic image data at positions corresponding to the x-axis numerical value “0.04”, the y-axis numerical value “40”, and the z-axis numerical value “4785” (step S403). Further, the image generation unit 25 generates x-axis numerical image data, y-axis numerical image data, and z-axis numerical image data corresponding to the x-axis numerical value, the y-axis numerical value, and the z-axis numerical value, respectively (step S404). ). In this specific example, the image generation unit 25 displays the x-axis numerical image data, the y-axis numerical image data, and the y-axis numerical image data so that the x-axis numerical value, the y-axis numerical value, and the z-axis numerical value are displayed in the vicinity of the point graphic. Assume that z-axis numerical image data is generated.

The image display unit 26 displays the point graphic image data generated by the image generation unit 25 on the display (step S302). As a result, the display shown in FIG. 10 is performed. In FIG. 10, the x-axis numerical value 106, the y-axis numerical value 107, and the z-axis numerical value 111 are surrounded by a rectangular frame. However, the image generation unit 25 may also appropriately generate an image such as such a frame. . In FIG. 10, the drop line 115 extends from the position of the point graphic 105 to a point on the z axis 110 corresponding to the z axis numerical value, and extends from the position of the point graphic 105 to a corresponding point on the xy coordinate plane. A drop line 113 and a drop line 113 extending from a point on the xy coordinate plane of the drop line 112 to a point on the x-axis 101 corresponding to the x-axis value and a point on the y-axis 102 corresponding to the y-axis value , 114 are also displayed, but the image generation unit 25 may also generate these images as appropriate.

The user can move the point graphic 105 by looking at the display of FIG. 10 and clicking another position on the xy coordinate plane with the mouse pointer 104. When moved in such a manner, the x-axis numerical value and the y-axis numerical value at the new position are acquired in the same manner as described above (step S401), and correspond to the x-axis numerical value and the y-axis numerical value. A z-axis numerical value is calculated (step S402), point graphic image data is generated at a new position (step S403), and x-axis numerical image data corresponding to the new x-axis numerical value is generated (step S404). Those images are displayed on the display (step S302).

As described above, according to the electronic function graph display device 2 according to the present embodiment, by specifying a position on the xy coordinate plane, a point on the function z = f (x, y) corresponding to the position is set. A point graphic can be displayed, and the value of each coordinate axis corresponding to the point graphic can also be displayed. For example, in the case of the above-described specific example, when the monthly repayment amount is 200,000 yen by looking at the display of FIG. 10, assuming that the annual interest rate is 0.04 and the repayment period is 40 years, 47.85 million yen You can borrow up to. Also, by looking at the displayed graph image 103, if the annual interest rate decreases, the borrowing amount can be greatly increased, but even if the repayment period is increased, the borrowing amount cannot be increased visually. I can grasp it.

In the present embodiment, when specifying the position on the xy coordinate plane, it is confusing that the graph image data or the z-axis is displayed. Therefore, when specifying the position on the xy coordinate plane, the image display The unit 26 may display the graph image data or the z-axis of the coordinate system image data lightly or not. Even in such a case, it is preferable to display the graph image data and the z-axis as they are after the designation of the position on the xy coordinate plane.

In the present embodiment, the graph image data of the function z = f (x, y) is displayed, and the calculation unit 24 calculates the z-axis numerical value using the function. However, the function is For example, the function g (x, y, z) = c may be used instead of z = f (x, y). Here, “c” is a constant. The “c” is preferably a real number. In this case, the graph image data of the function g (x, y, z) = c is stored in the image data storage unit 21, and the recording unit (not shown) accessible by the calculation unit 24 and the like is used. , Function g (x, y, z) = c will be stored. In this case, the z-axis numerical value may be a plurality of values, or may be a continuous value having a range. Therefore, in that case, for example, the image generation unit 25 may generate two or more point graphic image data, or may generate line graphic or curved point graphic image data having a continuous length. .

Further, when the calculation unit 24 calculates the z-axis numerical value by using the x-axis numerical value and the y-axis numerical value acquired by the numerical value acquisition unit 23, the calculation unit 24 uses the x-axis, y-axis, and z-axis ranges of the coordinate system image data. What is necessary is just to calculate. That is, when the z-axis numerical value calculated by the calculation unit 24 exceeds the range of each axis of the coordinate system image data, the calculation unit 24 may not use the value of the calculation result. This is because the point graphic corresponding to the value cannot be displayed on the coordinate system. Similarly, when there are two or more calculation results or when the calculation results have a continuous range, the calculation may be performed in the range of each axis of the coordinate system. Further, when it is difficult to calculate analytically, the calculation unit 24 may perform approximate calculation in a finite step by numerical calculation.

(Embodiment 3)
An electronic function graph display device 3 according to Embodiment 3 of the present invention will be described with reference to the drawings. The electronic function graph display device 3 according to the present embodiment designates the z-axis value in the three-dimensional coordinate system, and designates the y-axis value in the graph on the xy coordinate plane corresponding to the z-axis value. The x-axis values are calculated and displayed, and point graphics are displayed at corresponding positions.

FIG. 11 is a block diagram showing a configuration of the electronic function graph display device 3 according to the present embodiment. The electronic function graph display device 3 according to the present embodiment includes an image data storage unit 31, a first position designation reception unit 32, a first numerical value acquisition unit 33, a first image generation unit 34, and a second image generation unit 34. The position designation receiving unit 35, the second numerical value acquiring unit 36, the calculating unit 37, the second image generating unit 38, and the image display unit 39.

The image data storage unit 31 stores coordinate system image data that is image data of a three-dimensional coordinate system having an x-axis, a y-axis, and a z-axis. The image data storage unit 31 stores graph image data that is image data of a graph of the function z = f (x, y). Each axis of the coordinate system, that is, the x axis, the y axis, and the z axis may or may not constitute an orthogonal coordinate system. Even when the coordinate system is an orthogonal coordinate system, the axes do not have to be orthogonal as shown in FIG. 14 for the convenience of displaying a three-dimensional coordinate system on a two-dimensional plane. In addition, a character string indicating the name of the variable corresponding to the axis may be included in the vicinity of each axis, and each axis may include a graphic of the variable scale or a numerical value corresponding to the memory. What is good is the same as in the first embodiment. Further, it is assumed that the graph image data is image data of a graph displayed within the range of the x axis, the y axis, and the z axis of the coordinate system of the coordinate system image data. That is, the maximum x value, the minimum x value, the maximum y value, the minimum y value, the maximum z value, and the minimum z value of the graph are the x-axis of the coordinate system image data, It is preferable that it is included in the range of the y-axis and the z-axis.

The process in which the coordinate system image data and the like are stored in the image data storage unit 31 does not matter. For example, coordinate system image data or the like may be stored in the image data storage unit 31 via a recording medium, and coordinate system image data or the like transmitted via a communication line or the like may be stored in the image data storage unit 31. The image data storage unit 31 may store the coordinate system image data or the like input via the input device. Storage in the image data storage unit 31 may be temporary storage in a RAM or the like, or may be long-term storage. In the former case, for example, the image data storage unit 31 may be considered as a VRAM in which image data before display is buffered. The image data storage unit 31 can be realized by a predetermined recording medium (for example, a semiconductor memory, a magnetic disk, an optical disk, etc.).

The first position designation accepting unit 32 accepts designation of a position on the coordinate system. The reception of the position on the coordinate system is performed via the GUI on the coordinate system of the coordinate system image data displayed by the image display unit 39. The designation of the position input via the GUI may be, for example, an instruction for movement by dragging, designation of a position by clicking, or designation of another position.

The first position designation receiving unit 32 may receive, for example, designation of a position input from a pointing device (for example, a mouse, a trackball, a pen tablet, a touch pad, a pointing stick, a joystick, etc.) The designation of the position transmitted via the wireless communication line may be received. The first position designation receiving unit 32 may or may not include a device (for example, a modem or a network card) for receiving. The first position designation receiving unit 32 may be realized by hardware, or may be realized by software such as a driver that drives a predetermined device.

The first numerical value acquisition unit 33 acquires a z-axis numerical value that is a z-axis value corresponding to the position received by the first position designation reception unit 32. The first numerical value acquisition unit 33 detects, for example, a position on the display screen received by the first position designation reception unit 32, and converts the position into a position in the z-axis direction of the coordinate system, whereby the z-axis A numerical value can be acquired. This processing can be performed by the conversion from the screen coordinates to the client coordinates and the conversion from the client coordinates to the z-axis direction described in the first embodiment. For example, the numerical values of both end points of the z-axis 110 (for example, the smaller value is “L1” and the larger value is “H1”), and the coordinate values of the both end points in the client coordinates ( For example, the coordinate value corresponding to the end point of the smaller value of the z-axis 110 is (A, B), and the coordinate value corresponding to the end point of the larger value is (C, D)). It is assumed that the recording medium is not set in advance. Then, the value of the z-axis 110 when the coordinate value (X, Y) of the client coordinates on the z-axis 110 is designated can be obtained as follows.
L1 + (H1-L1) ×
{(X−A) ² + (Y−B) ² } ^1/2 / {(C−A) ² + (D−B) ² } ^1/2

This method of determination is an example, and if it is certain that (X, Y) is on the z-axis 110, it may be determined as follows.
L1 + (H1−L1) × (X−A) / (C−A) (where A ≠ C)
Or you may obtain | require as follows. As shown in FIG. 14, when the z-axis is in the same direction as the Y coordinate of the client coordinates, it is preferable to use the following equation.
L1 + (H1−L1) × (Y−B) / (D−B) (B ≠ D)

The first image generation unit 34 generates xy coordinate plane image data relating to a plane of z = z axis numerical value. The xy coordinate plane image data corresponds to the relationship between the x-axis value and the y-axis value when the z-axis numerical value acquired by the first numerical value acquisition unit 33 is substituted into the function z = f (x, y). This is image data of a two-dimensional graph and a plane on which the two-dimensional graph exists, and an xy coordinate plane that is a plane defined by the x axis and the y axis in the z = z axis numerical value. The first image generation unit 34 corresponds to xy coordinate plane image data corresponding to a part of the three-dimensional coordinate system indicated by the coordinate system image data stored in the image data storage unit 31 (that is, corresponding to the graph image data). A two-dimensional graph on a cross section obtained by cutting a three-dimensional graph with a plane of “z = z-axis numerical value” and image data of an xy coordinate plane) may be generated, or xy may be used regardless of coordinate system image data. Coordinate plane image data may be generated. In the present embodiment, the former case will be described. In other words, in the present embodiment, the first image generation unit 34 generates image data for displaying an xy coordinate plane on a plane of “z = z axis numerical value” corresponding to the coordinate system image data. For example, as shown in FIG. 14, the x-axis 101 and the y-axis 102 in the coordinate system image data may be moved by the z-axis numerical value. The xy coordinate plane is normally an oblique coordinate system. The first image generation unit 34 generates image data for displaying a graph of the function “f (x, y) = z-axis numerical value” on the xy coordinate plane.

The second position designation accepting unit 35 accepts designation of a position on the xy coordinate plane of the xy coordinate plane image data generated by the first image generating unit 34. The reception of the position on the xy coordinate plane is performed via the GUI on the xy coordinate plane of the xy coordinate plane image data displayed by the image display unit 39. The designation of the position input via the GUI may be, for example, an instruction for movement by dragging, designation of a position by clicking, or designation of another position. The reception of the designation of the position is performed in the same manner as the position designation receiving unit 22 of the second embodiment, for example. Thus, the second position designation receiving unit 35 is the same as the position designation receiving unit 22 of the second embodiment, and a detailed description thereof is omitted.

The second numerical value acquiring unit 36 acquires a y-axis numerical value that is a y-axis value corresponding to the position on the xy coordinate plane received by the second position designation receiving unit 35. For example, the second numerical value acquisition unit 36 detects the position on the display screen received by the second position designation reception unit 35 and converts the position into a position on the xy coordinate plane, thereby converting the y-axis numerical value. Can be acquired. This process can be performed in the same manner as the numerical value acquisition unit 23 of the second embodiment.

The calculating unit 37 substitutes the z-axis numerical value acquired by the first numerical value acquiring unit 33 and the y-axis numerical value acquired by the second numerical value acquiring unit 36 into the function z = f (x, y). An x-axis numerical value that is an axis value is calculated. Information indicating the function z = f (x, y) is stored in a recording medium (not shown), and the calculation unit 37 reads information indicating the function z = f (x, y) from the recording medium. The x-axis numerical value may be calculated by substituting the z-axis numerical value acquired by the first numerical value acquiring unit 33 and the y-axis numerical value acquired by the second numerical value acquiring unit 36. The x-axis numerical value may be a plurality of values or may be a continuous value having a range. In the present embodiment, a case where one x-axis numerical value is mainly calculated will be described.

The second image generation unit 38 generates point graphic image data, x-axis numerical image data, y-axis numerical image data, and z-axis numerical image data. These data will be described with reference to FIG. 14 described later.

The point graphic image data is image data of the point graphic 105. The point graphic 105 is a graphic indicating the position on the three-dimensional coordinate system image 100 indicated by the coordinate system image data. The point graphic 105 is displayed on the graph image 103 of the function z = f (x, y). Therefore, by looking at the point graphic 105, the position of the function z = f (x, y) on the graph can be visually confirmed. When the x-axis numerical value calculated by the calculation unit 37 is a plurality of values or a value having a continuous range, two or more point graphic image data or a line segment having a continuous length is used. Alternatively, curved point graphic image data is generated.

The second image generation unit 38 includes the z-axis numerical value acquired by the first numerical value acquisition unit 33, the y-axis numerical value acquired by the second numerical value acquisition unit 36, and the x-axis numerical value calculated by the calculation unit 37. Point graphic image data, which is image data of the point graphic 105, is generated at a position on the coordinate system corresponding to. When the first position designation accepting unit 32 or the second position designation accepting unit 35 accepts the designation of a new position, the point graphic image data corresponding to the point graphic 105 displayed so far is deleted. Point graphic image data corresponding to a newly designated position may be generated. Note that generating point graphic image data corresponding to a certain position means generating point graphic image data for displaying the point graphic 105 at that position.

The x-axis numerical image data is image data of the x-axis numerical value 106. The x-axis numerical value is calculated by the calculation unit 37. By displaying the x-axis numerical value 106, the user can know the value of the x-axis 101 corresponding to the point graphic 105. The x-axis numerical value 106 may be displayed in the vicinity of the point graphic 105, for example, may be displayed in the vicinity of the position of the x-axis 101 corresponding to the value, or may be displayed in another position. May be. In addition, the display position of the x-axis numerical value 106 may or may not move according to the movement of the point graphic 105. The x-axis numerical image data is usually image data indicating numerical text.

Y-axis numerical image data is image data of the y-axis numerical value 107. The y-axis numerical value is acquired by the second numerical value acquiring unit 36. By displaying the y-axis numerical value 107, the user can know the value of the y-axis 102 corresponding to the point graphic 105. The y-axis numerical value 107 may be displayed, for example, in the vicinity of the point graphic 105, may be displayed in the vicinity of the position of the y-axis 102 corresponding to the value, or displayed at other positions. May be. Further, the display position of the y-axis numerical value 107 may or may not move according to the movement of the point graphic 105. The y-axis numerical image data is usually image data indicating numerical text.

The z-axis numerical image data is image data of the z-axis numerical value 111. The z-axis numerical value is acquired by the first numerical value acquiring unit 33. By displaying the z-axis numerical value 111, the user can know the value of the z-axis 110 corresponding to the point graphic 105. The z-axis numerical value 111 may be displayed, for example, in the vicinity of the point graphic 105, may be displayed in the vicinity of the position of the z-axis 110 corresponding to the value, or may be displayed in other positions. May be. In addition, the display position of the z-axis numerical value 111 may be moved according to the movement of the point graphic 105 or may not be so. The z-axis numerical image data is usually image data indicating numerical text.

The image display unit 39 includes coordinate system image data and graph image data read from the image data storage unit 31, xy coordinate plane image data generated by the first image generation unit 34, and a second image generation unit 38. The point graphic image data, the x-axis numerical image data, the y-axis numerical image data, and the z-axis numerical image data are displayed. It is assumed that the image display unit 39 performs display output for finally performing image display related to coordinate system image data and the like. Therefore, the image display unit 39 may be, for example, a transmission unit that transmits image data or the like to a display device (for example, a CRT or a liquid crystal display). Further, the image display unit 39 may or may not include a display device that performs the display. The image display unit 39 may be realized by hardware, or may be realized by software such as a driver that drives a display device.

Next, the operation of the electronic function graph display device 3 according to the present embodiment will be described using the flowchart of FIG.
(Step S501) The image display unit 39 determines whether to display coordinate system image data or the like. If so, the process proceeds to step S502; otherwise, the process of step S501 is repeated until it is determined to be displayed. Note that the image display unit 39 may determine to display the coordinate system image data or the like when receiving an instruction to display the coordinate system image data or the like, for example, and may display the coordinate system image data or the like at other timings. May be determined to be displayed.

(Step S502) The image display unit 39 displays the coordinate system image data and the graph image data read from the image data storage unit 31, and the image data generated by the first image generation unit 34 and the second image generation unit 38. . When displaying the coordinate system image data or the like for the first time, the image display unit 39 may display only the coordinate system image data and the graph image data, or the point graphic point at a predetermined position. Graphic image data and x-axis numerical image data corresponding to the point graphic may also be displayed.

(Step S503) The first position designation receiving unit 32 determines whether a position designation has been accepted. If the position designation is accepted, the process proceeds to step S504. If not, the process in step S503 is repeated until the position designation is accepted.

(Step S504) The first image generation unit 34 and the like perform processing for generating point graphic image data according to the designation of the position received by the first position designation reception unit 32, and the like. Details of this processing will be described later with reference to the flowchart of FIG. Then, the process returns to step S502.
In the flowchart of FIG. 12, the process is terminated by powering off or a process termination interrupt.

FIG. 13 is a flowchart showing details of processing (step S504) such as image generation in the flowchart of FIG.
(Step S601) The first numerical value acquisition unit 33 acquires a z-axis numerical value corresponding to the position received by the first position designation reception unit 32. The z-axis numerical value may be temporarily stored in a recording medium (not shown). For example, when the first position designation receiving unit 32 receives a position on the z axis, the first numerical value acquiring unit 33, as described above, the z axis numerical value corresponding to the position on the z axis. May be obtained. Further, for example, when the first position designation receiving unit 32 receives a position that is considerably away from the z-axis, the first numerical value acquisition unit 33 draws a normal from the position with respect to the z-axis. As described above, the z-axis numerical value may be acquired for the position of the intersection of the normal line and the z-axis. The calculation of the position of the intersection may be performed in client coordinates, for example.

(Step S602) The first image generation unit 34 uses the xy coordinate plane that is image data of a two-dimensional graph of “f (x, y) = z-axis numerical value” and the xy coordinate plane in which the graph exists. Generate image data.

(Step S603) The image display unit 39 displays the xy coordinate plane image data generated by the first image generation unit 34.

(Step S604) The second position designation receiving unit 35 determines whether a position designation has been accepted. If the position designation is accepted, the process proceeds to step S605. If not, the process of step S604 is repeated until the position designation is accepted.

(Step S605) The second numerical value acquiring unit 36 acquires a y-axis numerical value corresponding to the position on the xy coordinate plane received by the second position designation receiving unit 35. The y-axis numerical value may be temporarily stored in a recording medium (not shown). This processing can be realized by performing conversion from the screen coordinates to the client coordinates and conversion from the client coordinates to the xy coordinate plane, as in the first embodiment.

(Step S606) The calculation unit 37 substitutes the z-axis numerical value acquired by the first numerical value acquisition unit 33 and the y-axis numerical value acquired by the second numerical value acquisition unit 36 into a function, and the expression after the substitution is obtained. The x-axis numerical value is calculated by solving for the x-axis numerical value. The x-axis numerical value may be temporarily stored in a recording medium (not shown).

(Step S607) The second image generation unit 38 calculates the x-axis numerical value calculated by the calculation unit 37, the y-axis numerical value acquired by the second numerical value acquisition unit 36, and the z-axis acquired by the first numerical value acquisition unit 33. A point graphic is generated at a position on the coordinate system corresponding to the numerical value. A method in which the second image generation unit 38 displays a figure at a position corresponding to the coordinate value using the x-axis numerical value, the y-axis numerical value, and the z-axis numerical value is already known in graph drawing software, etc. Detailed description is omitted.

(Step S608) The second image generation unit 38 uses x-axis numerical image data that is x-axis numerical image data, y-axis numerical image data that is y-axis numerical image data, and z-axis numerical image data. Certain z-axis numerical image data is generated. And it returns to the flowchart of FIG.

Next, the operation of the electronic function graph display device 3 according to this embodiment will be described using a specific example. In this specific example, the image display unit 39 displays each image data on the display.

Also in this specific example, similar to the specific example of the second embodiment, the annual interest rate in the repayment of the principal and interest of the loan, the repayment years, and the borrowing amount (10,000 yen) are expressed in the x axis, the y axis, and the z axis. A case where the function z = f (x, y) having the value of is used will be described. The function z = f (x, y) is as described above. Also in this specific example, it is assumed that the monthly repayment amount M = 20 (10,000 yen).

First, it is assumed that the user inputs an instruction to output the three-dimensional coordinate system image 100 to the electronic function graph display device 3 by operating a mouse or a keyboard. Then, the image display unit 39 determines that it is time to display the image data (step S501), reads the coordinate system image data and the graph image data from the image data storage unit 31, and outputs them to the display (step S502). ). As a result, in the three-dimensional coordinate system shown in FIG. 14, the screen without the point graphic 105, the x-axis numerical value 106, the y-axis numerical value 107, the z-axis numerical value 111, or the like, that is, the x-axis 101, the y-axis 102, the three-dimensional coordinate system image 100 having the z-axis 110 and the graph image 103 are displayed on the display.

Next, it is assumed that when the user operates the mouse, the mouse pointer 104 is moved to the position where the borrowing amount on the z-axis 110 is 40 million yen, and the mouse is clicked there. Then, the first position designation receiving unit 32 determines that the position designation has been received (step S503). Then, the first image generation unit 34 and the like generate image data (step S504).

Specifically, the first numerical value acquisition unit 33 converts the X coordinate and Y coordinate values of the screen coordinates of the clicked position into client coordinate values, and further converts them into z-axis numerical values. The z-axis numerical value “4000 (10,000 yen)” is acquired (step S601). The z-axis numerical value is temporarily stored in a recording medium (not shown).

Next, the first image generation unit 34 reads out the above-described function z = {1- (1 + x / 12) ^{−12 × y} } × (12 / x) × 20 from a recording medium (not shown), and the value of z As a result, “4000” acquired by the first numerical value acquisition unit 33 is substituted, and an expression indicating the relationship between x and y is calculated. In addition, the first image generation unit 34 displays an xy coordinate plane when the x-axis 101 and the y-axis 102 are moved by the z-axis numerical value “4000 (10,000 yen)”, and on the xy coordinate plane, Xy coordinate plane image data for displaying a graph indicating the relationship between the calculated x and y is generated (step S602). The image display unit 39 also displays the xy coordinate plane image data generated as described above (step S603). As a result, the coordinate system image 100, the graph image 103, the xy coordinate plane 120, and the two-dimensional graph image 121 of the three-dimensional coordinate system shown in FIG. 14 are displayed. Will be displayed above.

Next, it is assumed that when the user operates the mouse, the mouse pointer 104 is moved to a position where the repayment years on the xy coordinate plane 120 is 30 years, that is, a position where y = 30, and the mouse is clicked there. Then, the second position designation receiving unit 35 determines that the position designation has been received (step S604). Then, the second position designation receiving unit 35 converts the coordinate values of the screen coordinates X and Y coordinates of the clicked position into the coordinate values of the client coordinates, and further converts them into y-axis numerical values, whereby y The axis value “30” is acquired (step S605). The y-axis numerical value is temporarily stored in a recording medium (not shown).

Next, the calculation unit 37 reads the above-described function z = {1− (1 + x / 12) ^{−12 × y} } × (12 / x) × 20 from a recording medium (not shown), and uses the y and z values as “30” and “4000” acquired by the second numerical value acquisition unit 36 and the first numerical value acquisition unit 33 are respectively substituted to calculate the value of x (step S606). The value of x, that is, the x-axis numerical value is “0.044”. In this calculation, the value of the fourth decimal place is rounded off.

Thereafter, the second image generation unit 38 generates point graphic image data at positions corresponding to the x-axis numerical value “0.044”, the y-axis numerical value “30”, and the z-axis numerical value “4000” (step S607). . In addition, the second image generation unit 38 generates x-axis numerical image data, y-axis numerical image data, and z-axis numerical image data corresponding to the x-axis numerical value, the y-axis numerical value, and the z-axis numerical value, respectively. (Step S608). In this specific example, the second image generation unit 38 displays the x-axis numerical image data, the y-axis numerical image so that the x-axis numerical value, the y-axis numerical value, and the z-axis numerical value are displayed in the vicinity of the point graphic. Data and z-axis numerical image data are generated.

The image display unit 39 displays the point graphic image data generated by the second image generation unit 38 on the display (step S502). As a result, the display shown in FIG. 14 is performed. In FIG. 14, the x-axis numerical value 106, the y-axis numerical value 107, and the z-axis numerical value 111 are surrounded by a rectangular frame, but the second image generation unit 38 also appropriately generates an image such as such a frame. May be.

When the user looks at the display of FIG. 14 and clicks another position on the z-axis 110 with the mouse pointer 104, new xy coordinate plane image data is displayed again, and the xy coordinate plane is displayed on the xy coordinate plane. The point graphic 105 can be moved by clicking an arbitrary position. When moved in such a manner, the z-axis numerical value and y-axis numerical value of the new position are acquired in the same manner as described above (steps S601 and S605), and the z-axis numerical value and y-axis numerical value are obtained. A corresponding x-axis numerical value is calculated (step S606), point graphic image data is generated at a new position (step S607), and x-axis numerical image data corresponding to the new x-axis numerical value is generated (step S607). In step S608, those images are displayed on the display (step S502).

As described above, according to the electronic function graph display device 3 according to the present embodiment, the position on the z-axis is designated, and then the position on the xy coordinate plane corresponding to the designated z-axis is designated. The point graphic can be displayed at a point on the function z = f (x, y) corresponding to the position, and the values of the coordinate axes corresponding to the point graphic can also be displayed. For example, in the case of the above-described specific example, when the monthly repayment amount is 200,000 yen by looking at the display in FIG. 14, assuming that the borrowing amount is 40 million yen and the repayment period is 30 years, the annual interest rate is It turns out that it will be set to 0.044. In addition, by viewing the displayed graph image 103 and the two-dimensional graph image 121, for example, it is visually recognized that the lower limit of repayment is about 17 years and the upper limit of annual interest is about 0.6. can do.

In the present embodiment, the xy coordinate plane image data may not be displayed after the designation of the position on the xy coordinate plane is completed. Further, when the xy coordinate plane image data is displayed even after the designation of the position on the xy coordinate plane is completed, on the xy coordinate plane according to the designation of the position on the xy coordinate plane. The position of the point graphic may be moved. When the xy coordinate plane image data is displayed only temporarily, the graph image data may not be displayed at the time of display.

In the present embodiment, graph image data of the function z = f (x, y) is displayed, and the first image generation unit 34 generates or calculates xy coordinate plane image data using the function. Although the case where the unit 37 calculates the x-axis numerical value has been described, the function may not be z = f (x, y), for example, the function g (x, y, z) = c Also good. Here, “c” is a constant. The “c” is preferably a real number. In this case, the graph data of the function g (x, y, z) = c is stored in the image data storage unit 31, and the first image generation unit 34 and the like are accessible. In the recording medium that does not, the function g (x, y, z) = c is stored. Further, when the function g (x, y, z) = c is used, each value of the x-axis numerical value and the y-axis numerical value obtained or calculated may be a plurality of values. May be a continuous value with a range. Therefore, in that case, for example, there may be two or more point graphics, and the point graphics may be continuous line segments or curves.

In the present embodiment, the case where the second numerical value acquisition unit 36 acquires the y-axis numerical value has been described. However, the second numerical value acquisition unit 36 may acquire the x-axis numerical value. In that case, the calculation unit 37 substitutes the z-axis numerical value acquired by the first numerical value acquisition unit 33 and the x-axis numerical value acquired by the second numerical value acquisition unit 36 into the function, and the result is the y-axis. The y-axis numerical value may be calculated by solving for the numerical value. Since the two axes are simply called the x-axis and the y-axis in order to specify the coordinate axes, the electronic function graph display device 3 of the present embodiment can be changed by replacing the names of these axes. The x-axis numerical value is acquired and the y-axis numerical value is calculated.

In the present embodiment, it goes without saying that the first position designation receiving unit 32 and the second position designation receiving unit 35 may be configured as one position designation receiving unit. In that case, the one position designation receiving unit functions as the first position designation receiving unit 32 and receives the designation of the position on the xy coordinate plane when accepting the designation of the position regarding the z-axis. In this case, it functions as the second position designation receiving unit 35.

In addition, when the calculation unit 37 calculates the x-axis numerical value using the z-axis numerical value acquired by the first numerical value acquisition unit 33 and the y-axis numerical value acquired by the second numerical value acquisition unit 36, the coordinates Calculations may be performed in the x-axis, y-axis, and z-axis ranges of the system image data. In other words, when the numerical value of the x-axis calculated by the calculation unit 37 exceeds the range of each axis of the coordinate system image data, the calculation unit 37 may not use the value of the calculation result. This is because the point graphic corresponding to the value cannot be displayed on the coordinate system. Similarly, when there are two or more calculation results or when the calculation results have a continuous range, the calculation may be performed in the range of each axis of the coordinate system. Further, when it is difficult to calculate analytically, the calculation unit 37 may perform approximate calculation in a finite step by numerical calculation.

In the present embodiment, there may be a function in which a two-dimensional graph indicated by xy coordinate plane image data rarely indicates a region. In that case, the calculation unit 37 acquires an x-axis numerical value having a range in accordance with the y-axis numerical value acquired by the second numerical value acquisition unit 36. Therefore, in that case, in accordance with the x-axis numerical value having the range, x-axis numerical image data indicating the value having the range, or point graphic image data of the point graphic that is a line segment or curve having a continuous length is included. Will be generated and displayed.

(Embodiment 4)
An electronic function graph display device 4 according to Embodiment 4 of the present invention will be described with reference to the drawings. The electronic function graph display device 4 according to the present embodiment directly designates a three-dimensional coordinate value on a three-dimensional graph.

FIG. 15 is a block diagram showing a configuration of the electronic function graph display device 4 according to the present embodiment. The electronic function graph display device 4 according to the present embodiment includes an image data storage unit 41, a position designation receiving unit 42, a straight line acquisition unit 43, a calculation unit 44, a numerical value acquisition unit 45, an image generation unit 46, And an image display unit 47.

The image data storage unit 41 stores coordinate system image data that is image data of a three-dimensional coordinate system having an x-axis, a y-axis, and a z-axis. The image data storage unit 41 stores graph image data that is image data of a graph of the function z = f (x, y). The image data storage unit 41, the coordinate system image data, and the graph image data are the same as those described for the image data storage unit 21 of the second embodiment, and a description thereof is omitted.

The position designation receiving unit 42 receives designation of a position on the coordinate system. The position on the coordinate system is received via the GUI on the coordinate system of the coordinate system image data displayed by the image display unit 47. The position designation receiving unit 42 also accepts designation of a position on an auxiliary line, which will be described later. The designation of this position is also received via the GUI. The designation of the position input via the GUI may be, for example, an instruction for movement by dragging, designation of a position by clicking, or designation of another position.

The position designation receiving unit 42 may receive, for example, designation of a position input from a pointing device (for example, a mouse, a trackball, a pen tablet, a touch pad, a pointing stick, a joy stick, etc.), wired or wireless communication A location designation sent via the line may be received. Note that the position designation receiving unit 42 may or may not include a device (for example, a modem or a network card) for receiving. Further, the position designation receiving unit 42 may be realized by hardware, or may be realized by software such as a driver that drives a predetermined device.

The straight line acquisition unit 43 acquires a straight line expression in the coordinate system according to the position on the coordinate system received by the position designation reception unit 42. When a three-dimensional coordinate system is displayed on a two-dimensional plane, information for one dimension is lost, so even if one point is specified on the two-dimensional plane, the point is three-dimensional. It corresponds to a straight line in the coordinate system. The straight line acquisition unit 43 acquires the straight line expression. When displaying the coordinate system of the three-dimensional space on the two-dimensional plane, the coordinate system is displayed when the coordinate system of the three-dimensional space is viewed in a certain viewing direction. Therefore, in that case, the straight line extending in the line-of-sight direction becomes one point on the display. The straight line expression acquired by the straight line acquisition unit 43 is a straight line expression passing through a designated position and extending in the line-of-sight direction. A method for acquiring the straight line expression will be described later.

The calculation unit 44 calculates the intersection of the straight line expression acquired by the straight line acquisition unit 43 and the function z = f (x, y). For example, the calculation unit 44 calculates x = h (z) and y = k (z) from a straight line expression, and substitutes these expressions in z = f (x, y) to obtain the value of z, That is, by calculating a z-axis numerical value and substituting the z value into x = h (z) and y = k (z), the x value, the y value, that is, the x-axis numerical value, the y-axis numerical value. May be calculated. Normally, the x-axis numerical value, the y-axis numerical value, and the z-axis numerical value calculated in this way are each a single value, but depending on the case, a plurality of values or a value having a continuous range may be used. There can be.

The numerical value acquisition unit 45 acquires an x-axis numerical value, a y-axis numerical value, and a z-axis numerical value that are received by the position designation receiving unit 42 and that correspond to a position on an auxiliary line to be described later. The numerical value acquisition unit 45 detects, for example, the position on the display screen received by the position designation reception unit 42, and converts the position into a position on the auxiliary line, whereby an x-axis numerical value corresponding to the position on the auxiliary line, A y-axis numerical value and a z-axis numerical value can be acquired. This process can be performed by the conversion from the screen coordinates to the client coordinates and the conversion from the client coordinates to the coordinate values on the auxiliary line described in the first embodiment.

The image generation unit 46 generates point graphic image data, x-axis numerical image data, y-axis numerical image data, z-axis numerical image data, and auxiliary line image data. These data will be described with reference to FIG. 20 described later.

The image generation unit 46 corresponds to the x-axis value that is the x-axis value, the y-axis value that is the y-axis value, and the z-axis value that is the z-axis value corresponding to the intersection calculated by the calculation unit 44. Point graphic image data, which is image data of the point graphic 105, is generated at a position on the coordinate system. In this case, it should be as a result. In the case of the present embodiment, the position itself designated on the display screen is the position on the coordinate system corresponding to the x-axis numerical value, y-axis numerical value, and z-axis numerical value of the intersection calculated by the calculation unit 44. The generation unit 46 may generate the point graphic image data at the position on the coordinate system received by the position designation reception unit 42. When the position designation accepting unit 42 accepts designation of a new position, the point figure image data corresponding to the point figure 105 displayed so far is erased, and the point figure corresponding to the newly designated position is deleted. Image data may be generated. Note that generating point graphic image data corresponding to a certain position means generating point graphic image data for displaying the point graphic 105 at that position.

The x-axis numerical image data is image data of the x-axis numerical value 106. The x-axis numerical value is calculated by the calculation unit 44. By displaying the x-axis numerical value 106, the user can know the value of the x-axis 101 corresponding to the point graphic 105. The x-axis numerical value 106 may be displayed in the vicinity of the point graphic 105, for example, may be displayed in the vicinity of the position of the x-axis 101 corresponding to the value, or may be displayed in another position. May be. In addition, the display position of the x-axis numerical value 106 may or may not move according to the movement of the point graphic 105. The x-axis numerical image data is usually image data indicating numerical text.

The y-axis numerical image data and the z-axis numerical image data are image data of the y-axis numerical value 107 and the z-axis numerical value 111, respectively. The y-axis numerical value and the z-axis numerical value are respectively calculated by the calculation unit 44. The display positions and the like of these numerical values are the same as in the case of the x-axis numerical values, and the description thereof is omitted.

The image generation unit 46 displays auxiliary line image data to be described later, receives designation of a position on the auxiliary line, and an x-axis numerical value, a y-axis numerical value, and a z-axis numerical value corresponding to the position are numerical value acquisition unit 45. In this case, x-axis numerical image data, y-axis numerical image data, and z-axis numerical image data respectively corresponding to the acquired x-axis numerical value, y-axis numerical value, and z-axis numerical value may be generated. .

The auxiliary line image data is generated when the intersection calculated by the calculation unit 44 is two or more points. The auxiliary line image data is image data of auxiliary lines corresponding to the two or more points, and is displayed to select any one of the two or more points. The two or more points may be a discrete finite number of points, or may be an infinite number of consecutive points, that is, a line segment or a curve having a continuous length. The auxiliary line may be a projection of a straight line corresponding to the straight line expression acquired by the straight line acquisition unit 43 on a certain plane. The plane may be, for example, an xy plane, a yz plane, an xz plane, or another plane. In the present embodiment, the case where the plane is the xy plane will be described. When a straight line corresponding to the straight line expression is projected onto the xy plane, the straight line expression on the xy plane is obtained by extracting an expression indicating the relationship between x and y from the straight line expression on the three-dimensional space. Can be acquired. Specifically, a straight line expression in a three-dimensional space can be described as a × x + b = c × y + d = e × z + f (where a to f are real numbers). Therefore, the formula of the straight line projected on the xy plane is a × x + b = c × y + d. The image generation unit 46 can generate auxiliary line image data by generating image data of an auxiliary line for displaying a straight line according to this expression on the xy coordinate plane in the three-dimensional coordinate system. In the auxiliary line, it is preferable that the position corresponding to the intersection calculated by the calculation unit 44 is visually distinguishable from other places. This is because the position corresponding to the intersection on the auxiliary line can be easily confirmed. To be visually distinguishable, for example, the position on the auxiliary line corresponding to the intersection may be different in color from other places, and the position on the auxiliary line corresponding to the intersection may be a circle, square, or triangle. Or the like, the thickness of the auxiliary line at the position on the auxiliary line corresponding to the intersection may be different, or may be other.

The image display unit 47 includes coordinate system image data and graph image data read from the image data storage unit 41, point graphic image data generated by the image generation unit 46, x-axis numerical image data, y-axis numerical image data, and z The numerical axis image data and the auxiliary line image data generated by the image generation unit 46 are displayed. It is assumed that the image display unit 47 performs display output for finally performing image display related to coordinate system image data and the like. Therefore, the image display unit 47 may be, for example, a transmission unit that transmits image data or the like to a display device (for example, a CRT or a liquid crystal display). Further, the image display unit 47 may or may not include a display device that performs the display. The image display unit 47 may be realized by hardware, or may be realized by software such as a driver that drives a display device.

Next, the operation of the electronic function graph display device 4 according to the present embodiment will be described with reference to the flowchart of FIG.
(Step S701) The image display unit 47 determines whether to display coordinate system image data or the like. If so, the process proceeds to step S702; otherwise, the process of step S701 is repeated until it is determined to be displayed. The image display unit 47 may determine to display the coordinate system image data or the like when receiving an instruction to display the coordinate system image data or the like, for example, or may display the coordinate system image data or the like at other timing. May be determined to be displayed.

(Step S702) The image display unit 47 displays the coordinate system image data and graph image data read from the image data storage unit 41, and the image data generated by the image generation unit 46. When displaying the coordinate system image data or the like for the first time, the image display unit 47 may display only the coordinate system image data and the graph image data, or the point graphic point at a predetermined position. Graphic image data and x-axis numerical image data corresponding to the point graphic may also be displayed.

(Step S703) The position designation receiving unit 42 determines whether a position designation has been received. If the position designation is accepted, the process proceeds to step S704, and if not, the process proceeds to step S705.

(Step S704) The image generation unit 46 and the like perform processing for generating point graphic image data in accordance with the designation of the position received by the position designation reception unit 42. Details of this processing will be described later with reference to the flowchart of FIG. Then, the process returns to step S702.

(Step S705) The image generation unit 46 determines whether the intersection calculated by the calculation unit 44 is 2 or more. If there are two or more intersections, the process proceeds to step S706. If not, that is, if there is one intersection, the process returns to step S703. Note that the image generation unit 46 may determine the number of intersection points in the range of the coordinate system displayed by the image display unit 47 at the time of the determination. In this case, even if an intersection exists outside the display range, if there is only one intersection within the display range, it is determined that there are no two or more intersections.

(Step S706) The image generation unit 46 and the like specify any one of two or more intersections by generating auxiliary line image data and the like. Details of this processing will be described later with reference to the flowchart of FIG. Then, the process returns to step S702.
In the flowchart of FIG. 16, the process is terminated by power-off or a process termination interrupt.

FIG. 17 is a flowchart showing details of processing (step S704) such as image generation in the flowchart of FIG.
(Step S801) The straight line acquisition unit 43 acquires a straight line expression corresponding to the position on the coordinate system received by the position designation reception unit 42. The straight line expression may be temporarily stored in a recording medium (not shown).

(Step S802) The calculation unit 44 calculates the intersection point between the straight line obtained by the straight line acquisition unit 43 and the function z = f (x, y). This intersection may be temporarily stored in a recording medium (not shown).

(Step S803) The image generation unit 46 generates point graphic image data for displaying a point graphic at a position on the coordinate system corresponding to the intersection. As described above, the point graphic image data may be generated according to the position received by the position designation receiving unit 42.

(Step S804) The image generation unit 46 performs x-axis numerical image data that is x-axis numerical image data, y-axis numerical image data that is y-axis numerical image data, and z-axis that is z-axis numerical image data. Numerical image data is generated. And it returns to the flowchart of FIG.

FIG. 18 is a flowchart showing details of the intersection specifying processing (step S706) in the flowchart of FIG.
(Step S901) The image generation unit 46 generates auxiliary line image data corresponding to two or more intersections.

(Step S902) The image display unit 47 displays the auxiliary line image data generated by the image generation unit 46.

(Step S903) The position designation receiving unit 42 determines whether designation of a position on the auxiliary line has been received. If accepted, the process proceeds to step S904; otherwise, the process of step S903 is repeated until designation of a position on the auxiliary line is accepted.

(Step S904) The numerical value acquisition unit 45 acquires an x-axis numerical value, a y-axis numerical value, and a z-axis numerical value according to the position on the designated auxiliary line. These numerical values may be temporarily stored in a recording medium (not shown).

(Step S905) The image generation unit 46 generates x-axis numerical image data or the like corresponding to the x-axis numerical value or the like acquired in step S904. And it returns to the flowchart of FIG. As a result, the x-axis numerical image data generated in step S905 is displayed instead of the x-axis numerical image data generated in step S804.

Here, a method for obtaining a straight line expression corresponding to the designated position will be described. Consider a point P in the three-dimensional coordinate system shown in FIG. When it is considered that the point P exists on the xy coordinate plane (that is, the z coordinate is 0), it is assumed that the coordinates of the point P are (a, b, 0). Further, when it is considered that the point P exists on the yz coordinate plane (that is, the x coordinate is 0), it is assumed that the coordinate of the point P is (0, c, −d). Then, the equation of the straight line corresponding to the point P in the three-dimensional coordinate system is as follows.
(Xa) / a = (yb) / (bc) = z / d

The straight line acquisition unit 43 acquires the values a and b described above assuming that the position received by the position designation reception unit 42 is on the xy coordinate plane in the three-dimensional coordinate system, and the position is in the three-dimensional coordinate system. As described above, the values of c and d can be acquired on the yz coordinate plane. The method for obtaining these values is the same as the method for obtaining coordinate values in the two-dimensional oblique coordinate system described in the second embodiment, for example. The straight line acquisition unit 43 can acquire a straight line expression by substituting the values of a to d thus acquired into the above-described expression. Thus, since the straight line is determined when the values of a to d are determined, the acquisition of the straight line expression may be acquisition of the values of a to d.

Note that the above-described straight line expression is an example, and the straight line expression can be described using other values. For example, it can be described using an angle between each axis (an angle when displayed on a two-dimensional plane) or the like.

Next, the operation of the electronic function graph display device 4 according to this embodiment will be described using a specific example. In this specific example, the image display unit 47 displays each image data on the display.

First, suppose that the user inputs an instruction to output the three-dimensional coordinate system image 100 to the electronic function graph display device 4 by operating a mouse or a keyboard. Then, the image display unit 47 determines that it is time to display the image data (step S701), reads the coordinate system image data and the graph image data from the image data storage unit 41, and outputs them to the display (step S702). ). As a result, in the three-dimensional coordinate system shown in FIG. 20, the screen without the point graphic 105, the x-axis numerical value 106, the y-axis numerical value 107, the z-axis numerical value 111, or the like, that is, the x-axis 101, the y-axis 102, the three-dimensional coordinate system image 100 having the z-axis 110 and the graph image 103 are displayed on the display.

Next, assume that the user operates the mouse to move the mouse pointer 104 to a certain point on the coordinate plane and clicks the mouse at that position. Then, the position designation receiving unit 42 determines that the position designation has been received (step S703). The image generation unit 46 and the like generate image data corresponding to the position clicked with the mouse (step S704).

Specifically, the straight line acquisition unit 43 converts the X and Y coordinate values of the screen coordinates at the clicked position into the coordinate values of the client coordinates, and further, the coordinate values on the xy coordinate plane and the yz coordinates. The values of a to d described above are acquired by converting them into coordinate values on a plane, and the values of the straight lines are acquired by substituting those values into the above-described straight line expressions (step S801). The straight line equation is temporarily stored in a recording medium (not shown).

Next, the calculation unit 44 reads the above-described function z = {1− (1 + x / 12) ^{−12 × y} } × (12 / x) × 20 from a recording medium (not shown), and the straight line acquired by the straight line acquisition unit 43. And the intersection point between the straight line and the curved surface is calculated (step S802). This calculation may be performed analytically or may be performed approximately in finite steps by numerical calculation. The x-axis numerical value, y-axis numerical value, and z-axis numerical value corresponding to the intersection may be temporarily stored in a recording medium (not shown). Further, the calculation unit 44 may perform calculation in the range of the x-axis, y-axis, and z-axis of the coordinate system image data. That is, when the x-axis numerical value, the y-axis numerical value, and the z-axis numerical value calculated by the calculation unit 44 exceed the range of each axis of the coordinate system image data, the calculation unit 44 does not use the value of the calculation result. You may do it. This is because the point graphic corresponding to the value cannot be displayed on the coordinate system. Similarly, when there are two or more calculation results or when the calculation results have a continuous range, the calculation may be performed in the range of each axis of the coordinate system.

Next, the image generation unit 46 generates the point graphic image data at the position where the position specification receiving unit 42 has received the designation, that is, the clicked position (step S803). Further, the image generation unit 46 generates x-axis numerical image data corresponding to the x-axis numerical value, the y-axis numerical value, and the z-axis numerical value calculated by the calculation unit 44 (step S804). In this specific example, the image generation unit 46 also generates x-axis numerical image data and the like so that the x-axis numerical values and the like are displayed in the vicinity of the point graphic.

The image display unit 47 displays the point graphic image data generated by the image generation unit 46 on the display (step S702). As a result, the display shown in FIG. 20 is performed. In FIG. 20, the x-axis numerical value 106, the y-axis numerical value 107, and the z-axis numerical value 111 are surrounded by a rectangular frame, but the image generation unit 46 may also appropriately generate an image such as such a frame. .
In this case, since there is only one intersection, no specific processing of the intersection (steps S705 and S706) is performed.

Next, a process for specifying an intersection when there are two or more intersections will be described. The function is assumed to be z = sin (x) × y / 10. The process until the designation of the position in the coordinate system is accepted and the point graphic image data, the x-axis numerical image data, etc. are generated and displayed is the same as in the above-described specific example. Omitted. In this case, as shown in FIG. 21, two sets of x-axis numerical values, y-axis numerical values, and z-axis numerical values corresponding to the point graphic 105 are acquired and displayed. Since there are two intersections, the image generation unit 46 determines that there are two or more intersections (step S705). And the process which specifies an intersection is performed (step S706).

Specifically, the image generation unit 46 generates auxiliary line image data (step S901). The auxiliary line image data is displayed by the image display unit 47 as shown in FIG. 21 (step S902). The auxiliary line 131 is obtained by projecting a straight line corresponding to the position of the point graphic 105 onto the xy coordinate plane. Specifically, the image generation unit 46 can generate auxiliary line image data by generating image data of a straight line graphic passing through the position of the point graphic 105 and parallel to the z axis 110. In the auxiliary line 131, a square graphic is displayed at a position on the xy coordinate plane corresponding to two points corresponding to the point graphic 105. The image generation unit 46 puts the square figure at the position on the xy coordinate plane corresponding to two combinations of the x-axis numerical value and the y-axis numerical value among the coordinates of the two intersections calculated by the calculation unit 44. It is only necessary to generate auxiliary line image data. Drop lines 132 to 135 extend from the positions on the two xy coordinate planes corresponding to the point graphic 105 to the x axis 101 and the y axis 102, respectively. Assuming that the point on the xy coordinate plane corresponding to the point graphic 105 is (x, y) = (a, b), the image generation unit 46 starts from (a, b) to (0, b) and ( What is necessary is just to produce | generate the image data of the drop line figure each extended to a, 0). Note that the image generation unit 46 may generate image data of a drop line figure using coordinate values obtained by converting coordinate values on the xy coordinate plane into client coordinates, screen coordinates, and the like. By displaying the drop lines 132 to 135, it is easily recognized that the point on the auxiliary line 131 exists on the xy coordinate plane. Further, by using the drop lines 132 to 135, it becomes possible to know the x-axis value and the y-axis value corresponding to the points on the auxiliary line 131. When the positions on the auxiliary line 131 corresponding to the intersection are continuous, the image generation unit 46 may generate the drop line only for the end points of the continuous range.

21. In the display of FIG. 21, the user can select an intersection point by clicking on one of the square figures. Here, it is assumed that the user clicks the lower square figure with the mouse pointer 104 as shown in FIG. Then, the designation of the position is accepted by the position designation accepting unit 42 (step S903), and the numerical value obtaining unit 45 obtains the coordinate value on the xy coordinate plane corresponding to the position, that is, the x-axis numeric value and the y-axis numeric value. get. In this case, even if a position strictly different from the position on the auxiliary line corresponding to the intersection is clicked, the numerical value acquisition unit 45 is on the auxiliary line corresponding to the intersection closest to the clicked position. You may make it acquire the numerical value of a position. Further, the numerical value acquisition unit 45 acquires the z-axis numerical value by substituting the acquired x-axis numerical value and y-axis numerical value into the function z = sin (x) × y / 10 (step S904). Further, the image generation unit 46 generates x-axis numerical image data and the like corresponding to the x-axis numerical value, the y-axis numerical value, and the z-axis numerical value acquired in this way (step S905). As a result, as shown in FIG. 22, x-axis numerical image data corresponding to the x-axis numerical value acquired using the auxiliary line 131 is displayed.

Note that the numerical value acquired by the numerical value acquisition unit 45 is a numerical value corresponding to any intersection calculated by the calculation unit 44. Therefore, the numerical value acquisition unit 45 does not directly calculate the numerical value according to the position on the auxiliary line received by the position designation receiving unit 42, but acquires the numerical value by selecting the value of the intersection closest to the position. Also good. When the positions on the auxiliary line 131 corresponding to the intersection point are continuous, the numerical value acquisition unit 45 uses the x-axis numerical value and the y-axis value that are the x-axis values received by the position designation receiving unit 42. By acquiring only one of a certain y-axis numerical value and substituting the acquired x-axis numerical value or the y-axis numerical value into the straight line expression acquired by the straight line acquisition unit 43, the y-axis numerical value and the z-axis numerical value, or An x-axis numerical value and a z-axis numerical value may be calculated. In this specific example, the case where the image generation unit 46 also generates image data of a drop line graphic has been described, but this need not be the case.

As described above, according to the electronic function graph display device 4 according to the present embodiment, a position on the coordinate system is designated, a straight line expression corresponding to the position is acquired, and the straight line and the function z = f ( By calculating the intersection of x, y) with the graph, the coordinates on the graph corresponding to the designated position can be obtained. And the acquired x-axis numerical value etc., the point figure etc. corresponding to the designated position can be displayed. For example, by looking at the display in FIG. 20, it is possible to know the relationship between the annual interest rate corresponding to the clicked position, the repayment years, and the borrowing amount when the monthly repayment amount is 200,000 yen. Further, when there are a plurality of intersections between the straight line and the graph, any intersection can be selected by using the auxiliary line. And the x-axis numerical value etc. of the selection result come to be displayed.

In the present embodiment, the graph image data of the function z = f (x, y) is displayed, and the calculation unit 44 calculates the intersection with the straight line using the function. However, the function is Z = f (x, y), for example, the function g (x, y, z) = c may be used. Here, “c” is a constant. The “c” is preferably a real number. In this case, the graph data of the function g (x, y, z) = c is stored in the image data storage unit 41, and in a recording medium (not shown) accessible by the calculation unit 44 and the like. , Function g (x, y, z) = c will be stored.

Further, in the present embodiment, when two or more intersections are calculated, an auxiliary line is displayed, and one intersection is specified using a position designated on the auxiliary line. It does not have to be. For example, even when two or more intersections are calculated, it is not necessary to specify one intersection. In that case, the electronic function graph display device 4 may not include the numerical value acquisition unit 45. Further, the image generation unit 46 may not generate the auxiliary line image data, and the image display unit 47 may not display the auxiliary line image data.

In the second to fourth embodiments, each of the electronic function graph display devices 2 to 4 is similar to the electronic function graph display device 1 shown in FIG. 6, and a change receiving unit that receives an instruction regarding a change in the displayed coordinate system. And a graph generation unit that generates new coordinate system image data or graph image data in accordance with an instruction related to the change and accumulates the image data in the image data storage unit. The change instruction may be an instruction for changing the range of the coordinate axes to be displayed, an instruction for enlargement / reduction, or another change instruction. In addition, a method for generating a changed coordinate system or graph image in response to a change instruction received by the change receiving unit is already known in commercially available graph drawing software, and the description thereof is omitted. The change accepting unit is information indicating the range of the coordinate axis after the change, for example, the x-axis range is 0 to 100, the y-axis range is 100 to 200, and the z-axis range is 0 to 10. Information indicating that it is present may be received, and the graph generation unit may generate a coordinate system or a graph corresponding to the range.

In the first to fourth embodiments, each of the electronic function graph display devices 1 to 4 outputs an x-axis numerical value, a y-axis numerical value, and a z-axis numerical value acquired by the numerical value acquisition unit or calculated by the calculation unit. An output unit may be further provided. This output may be, for example, display on a display device (for example, a CRT or a liquid crystal display), transmission via a communication line to a predetermined device, printing by a printer, audio output by a speaker, It may be stored in a recording medium or delivered to another component. The output unit may or may not include an output device (for example, a display device or a printer). The output unit may be realized by hardware, or may be realized by software such as a driver that drives these devices.

(Embodiment 5)
A coordinate acquisition device 5 according to Embodiment 5 of the present invention will be described with reference to the drawings. The coordinate acquisition device 5 according to the present embodiment uniquely specifies and acquires coordinates in the three-dimensional coordinate system according to the designated position even when the three-dimensional coordinate system is displayed on the two-dimensional plane. To do.

FIG. 23 is a block diagram showing a configuration of the coordinate acquisition device 5 according to the present embodiment. The coordinate acquisition device 5 according to the present embodiment includes an image data storage unit 51, a first position designation reception unit 52, a straight line acquisition unit 53, an image generation unit 54, an image display unit 55, and a second position. A designation receiving unit 56, a numerical value acquisition unit 57, and a numerical value output unit 58 are provided.

The image data storage unit 51 stores coordinate system image data that is image data of a three-dimensional coordinate system having an x-axis, a y-axis, and a z-axis. About this image data storage part 51 and coordinate system image data, it is the same as that of the description regarding the image data storage part 21 of Embodiment 2, The description is abbreviate | omitted.

The first position designation accepting unit 52 accepts designation of a position on the coordinate system. The position on the coordinate system is received via the GUI on the coordinate system of the coordinate system image data displayed by the image display unit 55. The designation of the position input via the GUI may be, for example, an instruction for movement by dragging, an instruction for a position by clicking, or another position designation.

The first position designation accepting unit 52 may accept designation of a position input from, for example, a pointing device (for example, a mouse, a trackball, a pen tablet, a touch pad, a pointing stick, a joystick, etc.) The designation of the position transmitted via the wireless communication line may be received. The first position designation receiving unit 52 may or may not include a device (for example, a modem or a network card) for receiving. The first position designation receiving unit 52 may be realized by hardware, or may be realized by software such as a driver that drives a predetermined device.

The straight line acquisition unit 53 acquires a straight line expression in the coordinate system according to the position on the coordinate system received by the first position designation reception unit 52. The method of obtaining the straight line expression is the same as that of the straight line obtaining unit 43 of the fourth embodiment, and the description thereof is omitted.

The image generation unit 54 generates point graphic image data, x-axis numerical image data, y-axis numerical image data, z-axis numerical image data, and auxiliary line image data. These data will be described with reference to FIGS. 25 to 27 described later.

The point graphic image data is, for example, image data of the point graphic 105 as shown in FIG. The point graphic 105 is a graphic indicating the position on the three-dimensional coordinate system image 100 indicated by the coordinate system image data. Note that the image generation unit 54 has point graphic image data that is image data of the point graphic 105 at a position on the coordinate system corresponding to an x-axis numerical value, a y-axis numerical value, and a z-axis numerical value acquired by a numerical value acquisition unit 57 described later. Is generated. It should be noted that as a result. In the case of the present embodiment, the position itself designated on the display screen is the position on the coordinate system corresponding to the x-axis numerical value, the y-axis numerical value, and the z-axis numerical value acquired by the numerical value acquisition unit 57, so that image generation is performed. The unit 54 may generate the point graphic image data at the position on the coordinate system received by the first position designation receiving unit 52. When the first position designation accepting unit 52 accepts designation of a new position, the point graphic image data corresponding to the point graphic 105 displayed so far is deleted, and the newly designated position is supported. Point graphic image data to be generated may be generated. Note that generating point graphic image data corresponding to a certain position means generating point graphic image data for displaying the point graphic 105 at that position.

The x-axis numerical image data is, for example, image data of the x-axis numerical value 106 as shown in FIG. The x-axis numerical value is acquired by the numerical value acquiring unit 57. By displaying the x-axis numerical value 106, the user can know the value of the x-axis 101 corresponding to the point graphic 105. The x-axis numerical value 106 may be displayed in the vicinity of the point graphic 105, for example, may be displayed in the vicinity of the position of the x-axis 101 corresponding to the value, or may be displayed in another position. May be. In addition, the display position of the x-axis numerical value 106 may or may not move according to the movement of the point graphic 105. The x-axis numerical image data is usually image data indicating numerical text.

The y-axis numerical image data and the z-axis numerical image data are image data of a y-axis numerical value 107 and a z-axis numerical value 111, for example, as shown in FIG. The y-axis numerical value and the z-axis numerical value are respectively acquired by the numerical value acquisition unit 57. The display positions and the like of these numerical values are the same as in the case of the x-axis numerical values, and the description thereof is omitted.

The auxiliary line image data is, for example, image data of the auxiliary line 141 passing through the position received by the first position designation receiving unit 52 as shown in FIGS. As described above, when a three-dimensional coordinate system is displayed on a two-dimensional plane, even if one point is designated on the two-dimensional plane, the point is in the line-of-sight direction in the three-dimensional coordinate system. Corresponds to a straight line extending to Therefore, it is this auxiliary line that is displayed to specify the point on the straight line. In this embodiment, two types of auxiliary lines will be described.

(1) Auxiliary Line Projected on a Plane The auxiliary line may be a projection of a straight line according to a straight line expression acquired by the straight line acquisition unit 53 on a certain plane (for example, see FIG. 25). The plane may be, for example, an xy plane, a yz plane, an xz plane, or another plane. The other plane may be, for example, a plane defined in advance by an equation or the like (for example, a plane such as 2x + 3y + 4z = 1). In the present embodiment, the case where the plane is the xy plane will be described. When a straight line corresponding to the straight line expression is projected onto the xy plane, the straight line expression on the xy plane is obtained by extracting an expression indicating the relationship between x and y from the straight line expression on the three-dimensional space. Can be acquired. Specifically, a straight line expression in a three-dimensional space can be described as a × x + b = c × y + d = e × z + f (where a to f are real numbers). Therefore, the formula of the straight line projected on the xy plane is a × x + b = c × y + d. The image generation unit 54 can generate auxiliary line image data by generating image data of an auxiliary line for displaying a straight line corresponding to this expression on an xy coordinate plane in a three-dimensional coordinate system. The auxiliary line usually passes through the position received by the first position designation receiving unit 52 and becomes a straight line parallel to the z-axis.

(2) Auxiliary line whose line-of-sight direction has been changed The auxiliary line corresponds to the coordinate system of the coordinate system image data stored in the image data storage unit 51 as a straight line corresponding to the straight line expression acquired by the straight line acquisition unit 53. It may be displayed in a line-of-sight direction different from the line-of-sight direction (for example, see FIG. 27). The straight line corresponding to the straight line expression acquired by the straight line acquisition unit 53 is displayed as a point in the case of the line-of-sight direction corresponding to the coordinate system of the coordinate system image data, but by introducing a different line-of-sight direction, It can be displayed as an auxiliary line. This auxiliary line can be generated by rendering a straight line according to a straight line expression in a three-dimensional coordinate system in a new line-of-sight direction. On the other hand, when a new line-of-sight direction is uniquely determined, the rendered auxiliary lines are the same straight line. Therefore, the image generation unit 54 may store the auxiliary line information and generate auxiliary line image data using the auxiliary line information. The auxiliary line information may be the auxiliary line image data itself or information indicating the inclination of the auxiliary line for generating the auxiliary line image data. In addition, since the coordinate system shown by coordinate system image data etc. is a figure which generally does not use a perspective (perspective method), it can be considered that the viewpoint position is at a position at infinity. In addition, it is preferable that the auxiliary line generated by the image generation unit 54 passes through the position received by the first position designation reception unit 52. The image generation unit 54 may also generate coordinate system image data corresponding to the auxiliary line after changing the line-of-sight direction. The image generation unit 54 generates auxiliary line image data so that the auxiliary line passes through the position received by the first position designation reception unit 52.

The image display unit 55 includes coordinate system image data read from the image data storage unit 51, point graphic image data generated by the image generation unit 54, x-axis numerical image data, y-axis numerical image data, z-axis numerical image data, The auxiliary line image data is displayed. It is assumed that the image display unit 55 performs display output for finally performing image display related to coordinate system image data and the like. Therefore, the image display unit 55 may be, for example, a transmission unit that transmits image data or the like to a display device (for example, a CRT or a liquid crystal display). Further, the image display unit 55 may or may not include a display device that performs the display. The image display unit 55 may be realized by hardware, or may be realized by software such as a driver that drives a display device.

The second position designation receiving unit 56 receives the designation of the position on the auxiliary line displayed by the image display unit 55. The position on the coordinate system is received on the auxiliary line of the auxiliary line image data displayed by the image display unit 55 via the GUI. The designation of the position input via the GUI may be, for example, an instruction for movement by dragging, designation of a position by clicking, or designation of another position.

The second position designation accepting unit 56 may accept designation of a position input from, for example, a pointing device (for example, a mouse, a trackball, a pen tablet, a touch pad, a pointing stick, a joystick, etc.) The designation of the position transmitted via the wireless communication line may be received. Note that the second position designation receiving unit 56 may or may not include a device for receiving (for example, a modem or a network card). Further, the second position designation receiving unit 56 may be realized by hardware, or may be realized by software such as a driver that drives a predetermined device.

The numerical value acquisition unit 57 uses the straight line expression acquired by the straight line acquisition unit 53 and the position received by the second position specification reception unit 56, and x corresponding to the position received by the first position specification reception unit 52 An x-axis value that is an axis value, a y-axis value that is a y-axis value, and a z-axis value that is a z-axis value are acquired. The method for acquiring the x-axis numerical value and the like will be specifically described in the case of the two auxiliary lines described above.

(1) In the case of an auxiliary line projected onto a plane In this case, the numerical value acquisition unit 57 acquires a designated position on the auxiliary line projected onto the plane. This position acquisition can be performed, for example, in the same manner as the position acquisition on the xy coordinate plane, as described in the above embodiment. Specifically, the value of a certain axis (for example, y axis) corresponding to the designated position is acquired, and the value of the other axis (for example, x axis) on the auxiliary line corresponding to the value is calculated. Good. Then, by using the position on the plane and the equation of the straight line acquired by the straight line acquisition unit 53, the x-axis numerical value, the y-axis numerical value, the z-axis corresponding to the position received by the first position designation receiving unit 52 A numerical value can be acquired. For example, when the auxiliary line is a straight line on the xy plane, the numerical value acquisition unit 57 may acquire only one of the x-axis numerical value and the y-axis numerical value instead of acquiring both. That is, the numerical value acquisition unit 57 may acquire at least one of an x-axis numerical value and a y-axis numerical value corresponding to the position received by the second position designation receiving unit 56. Then, the numerical value acquisition unit 57 may acquire the x-axis numerical value, the y-axis numerical value, and the z-axis numerical value by substituting at least one of the x-axis numerical value and the y-axis numerical value into a linear equation. By doing in this way, the calculated x-axis numerical value, y-axis numerical value, and z-axis numerical value are points on the straight line acquired by the straight line acquisition unit 53 with certainty.

(2) In the case of an auxiliary line whose line-of-sight direction has been changed In this case, the numerical value acquisition unit 57 is positioned on the designated auxiliary line in the coordinate system after the line-of-sight direction has been changed, like the line acquisition unit 53. Get the straight line expression corresponding to. Then, the numerical value acquisition unit 57 calculates the intersection of both straight lines by using the straight line expression thus acquired and the straight line expression acquired by the straight line acquisition unit 53. The coordinates of the intersection are the x-axis numerical value, the y-axis numerical value, and the z-axis numerical value.

As described above, even if an arbitrary point on the three-dimensional space displayed on the two-dimensional plane is designated, the coordinates in the three-dimensional coordinate system cannot be uniquely specified. When an arbitrary point on a straight line in the three-dimensional space displayed on the three-dimensional plane is specified, it is possible to uniquely specify the coordinates in the three-dimensional coordinate system on the straight line according to the specification. is there. This will be described. In the case of an auxiliary line with a changed line-of-sight direction, the image generation unit 54 generates a position on the auxiliary line (this position is a position on a two-dimensional plane. For example, client coordinates or It is possible to know the correspondence between the position on the straight line (which may be indicated by screen coordinates) and the position on the straight line according to the straight line expression acquired by the straight line acquisition unit 53 (this position is a position in the three-dimensional space). . Therefore, the image generation unit 54 uses the information on the correspondence relationship to change the position on the two-dimensional plane (for example, may be indicated by client coordinates or screen coordinates) to the position on the straight line in the three-dimensional space. By converting, coordinate values corresponding to the position in the three-dimensional space, that is, x-axis numerical values, y-axis numerical values, and z-axis numerical values can be acquired. Therefore, the numerical value acquisition unit 57 may acquire the x-axis numerical value and the like in this way.

In addition, when acquiring an x-axis numerical value or the like corresponding to a designated position on the auxiliary line whose line-of-sight direction has been changed, it is preferable to ensure that the acquired x-axis numerical value or the like is a numerical value on the auxiliary line. It is. Therefore, in the case of an auxiliary line whose line-of-sight direction is changed, the numerical value acquisition unit 57 may acquire an x-axis numerical value or the like as follows, for example. Specifically, the numerical value acquisition unit 57 uses the straight line expression obtained by the straight line acquisition unit 53 to obtain the X coordinate value or the Y coordinate value of the client coordinates according to the position received by the second position designation reception unit 56. (This formula is a formula of a straight line in a three-dimensional space) Substituting it into a formula of a straight line (auxiliary line) in client coordinates (this formula is a formula of X, Y on a two-dimensional plane) Thus, the value of the Y coordinate or the value of the X coordinate of the client coordinates can be acquired, and the coordinate value of the client coordinates corresponding to the position on the auxiliary line can be acquired reliably. The numerical value acquisition part 57 can acquire an x-axis numerical value etc. by converting the coordinate value into the position on the straight line of three-dimensional space as mentioned above. In addition, for example, the numerical value acquisition unit 57 is a linear expression on the three-dimensional space according to the position received by the second position designation receiving unit 56 (this is a three-dimensional coordinate system after the line-of-sight direction is changed). In order to distinguish it from the straight line expression acquired by the straight line acquisition unit 53, it will be referred to as “second straight line expression”. Then, the numerical value acquisition unit 57 includes two equations that are related to the two coordinate axes in the straight line expression acquired by the straight line acquisition unit 53 (for example, the expression of the x axis and the y axis) and the second straight line expression. By using an expression relating to the coordinate axes (for example, the expression of the x-axis and the y-axis), the intersection of the straight lines corresponding to the both expressions can be calculated (for example, the x-axis numerical value and the y-axis numerical value corresponding to the intersection point are Can be calculated). And the numerical value acquisition part 57 can acquire the value (for example, z-axis numerical value) of the remaining coordinate axes by substituting the value of the intersection in the straight line type | formula which the straight line acquisition part 53 acquired.

The numerical value output unit 58 outputs the x-axis numerical value, the y-axis numerical value, and the z-axis numerical value acquired by the numerical value acquiring unit 57. Here, the output may be, for example, display on a display device (for example, a CRT or a liquid crystal display), transmission via a communication line to a predetermined device, printing by a printer, or audio output by a speaker. Alternatively, it may be stored in a recording medium or delivered to another component. The numerical value output unit 58 may or may not include an output device (for example, a display device or a printer). The numerical value output unit 58 may be realized by hardware, or may be realized by software such as a driver that drives these devices.

Next, operation | movement of the coordinate acquisition apparatus 5 by this Embodiment is demonstrated using the flowchart of FIG.
(Step S1001) The image display unit 55 determines whether or not to display coordinate system image data. If so, the process proceeds to step S1002, and if not, the process of step S1001 is repeated until it is determined to be displayed. The image display unit 55 may determine to display the coordinate system image data when receiving an instruction to display the coordinate system image data, for example, and display the coordinate system image data at other timing. You may judge.

(Step S1002) The image display unit 55 displays the coordinate system image data read from the image data storage unit 51.

(Step S1003) The first position designation accepting unit 52 determines whether designation of a position on the coordinate system of the coordinate system image data displayed by the image display unit 55 has been accepted. If the position designation is accepted, the process proceeds to step S1004. If not, the process in step S1003 is repeated until the position designation is accepted.

(Step S1004) The image generation unit 54 generates point graphic image data at a position on the coordinate system received by the first position designation receiving unit 52.

(Step S1005) The straight line obtaining unit 53 obtains a straight line expression corresponding to the position received by the first position designation receiving unit 52. The straight line expression may be temporarily stored in a recording medium (not shown).

(Step S1006) The image generation unit 54 generates auxiliary line image data that is image data of an auxiliary line passing through the position received by the first position designation receiving unit 52.

(Step S1007) The image display unit 55 displays point graphic image data and auxiliary line image data.

(Step S1008) The second position designation receiving unit 56 determines whether the designation of the position on the auxiliary line of the auxiliary line image data displayed by the image display unit 55 has been received. If accepted, the process proceeds to step S1009. If not, the process of step S1008 is repeated until a position designation is accepted.

(Step S1009) The numerical value acquisition unit 57 uses the straight line expression acquired by the straight line acquisition unit 53 and the position received by the second position specification reception unit 56. An x-axis numerical value, a y-axis numerical value, and a z-axis numerical value corresponding to the position are acquired. These x-axis numerical values and the like may be temporarily stored in a recording medium (not shown).

(Step S1010) The numerical value output unit 58 outputs the x-axis numerical value, the y-axis numerical value, and the z-axis numerical value acquired by the numerical value acquiring unit 57.

(Step S1011) The image generation unit 54 generates x-axis numerical image data or the like corresponding to the x-axis numerical value acquired by the numerical value acquisition unit 57.

(Step S1012) The image display unit 55 also displays the x-axis numerical image data and the like generated by the image generation unit 54. In this display, the auxiliary line image data may not be displayed. That is, after the acquisition of the x-axis numerical value and the like by the numerical value acquisition unit 57 is completed, the display of the auxiliary line image data may be ended. Then, the process returns to step S1003.
Note that the processing is ended by powering off or interruption for aborting the processing in the flowchart in FIG.

Next, the operation of the coordinate acquisition device 5 according to this embodiment will be described using a specific example. In this specific example, the image display unit 55 displays each image data on the display. First, the case of the aforementioned auxiliary line (1) will be described.

Suppose that the user inputs an instruction to output the three-dimensional coordinate system image 100 to the coordinate acquisition device 5 by operating a mouse or a keyboard. Then, the image display unit 55 determines that it is time to display the image data (step S1001), reads the coordinate system image data from the image data storage unit 51, and outputs it to the display (step S1002). As a result, the three-dimensional coordinate system shown in FIG. 25 is a screen on which the point graphic 105 and the auxiliary line 141 are not displayed, that is, the three-dimensional coordinate system having the x axis 101, the y axis 102, and the z axis 110. The image 100 is displayed on the display.

Next, it is assumed that the user moves the mouse pointer 104 to the position shown in FIG. 25 by operating the mouse and clicks the mouse there. Then, the first position designation receiving unit 52 determines that the position designation has been received (step S1003). Then, the image generation unit 54 generates point graphic image data at the designated position (step S1004). In addition, the straight line acquisition unit 53 acquires a straight line expression corresponding to the designated position (step S1005). Assume that the equation of the straight line is as follows.
4x-80 = -4y = 5z-150

Further, the image generation unit 54 generates auxiliary line image data that is image data of an auxiliary line in which the straight line is projected on the xy plane (step S1006). The formula of the auxiliary line is as follows.
y = -x + 20

The image display unit 55 displays the point graphic image data generated by the image generation unit 54 and the auxiliary line image data on the display (step S1007). As a result, the display shown in FIG. 25 is performed. Assume that the user moves the mouse pointer 104 to the position shown in FIG. 26 when the user operates the mouse in the displayed state, and clicks the mouse there. Then, the second position designation receiving unit 56 determines that the position designation has been received (step S1008). Then, the numerical value acquisition unit 57 acquires the x-axis numerical value “10” and the y-axis numerical value “10”. Also, the numerical value acquisition unit 57 acquires the z-axis numerical value “22” by substituting the x-axis numerical value into the above-described straight line equation and solving for z (step S1009). The numerical value output unit 58 accumulates the x-axis numerical value and the like acquired by the numerical value acquisition unit 57 in a recording medium (not shown) (step S1010). Further, the image generation unit 54 generates x-axis numerical image data or the like corresponding to the x-axis numerical value or the like (step S1011), and the image display unit 55 also displays the x-axis numerical image data or the like on the display ( Step S1012). As a result, the display shown in FIG. 26 is performed. In this specific example, (x, y, z) = (10, 10, 22) is acquired as the coordinate value corresponding to the point graphic 105. As described above, the auxiliary line image data may be deleted when the display of FIG. 26 is performed. In addition, when the mouse pointer 104 is positioned on the auxiliary line 141 so that the position on the auxiliary line 141 can be easily specified, the image generating unit 54 starts the x-axis 101, y from that position. Image data of a drop line extending on the axis 102 may be generated, and the image display unit 55 may also display the image data of the drop line.

Next, a case where the above-described auxiliary line (2) is generated will be described. Similarly to the case of the auxiliary line (1), coordinate system image data is displayed (steps S1001 and S1002), and in this display, the mouse is clicked at the position of the mouse pointer 104 shown in FIG. 25 (step S1003). It is assumed that point graphic image data is generated at the position (step S1004) and the above-described straight line expression is acquired (step S1005). Thereafter, the image generation unit 54 displays auxiliary line image data for displaying a straight line corresponding to the straight line formula and the coordinate system of the coordinate system image data in a line-of-sight direction changed by a predetermined angle, and the changed coordinates. System image data is generated (step S1006), and the image display unit 55 displays these images (step S1007). FIG. 27 is a diagram showing the auxiliary line 141 displayed in this way and the coordinate system 145 after the change. In FIG. 27, the coordinate system image 100 displayed from the beginning is displayed in a light color. However, if the coordinate system images before and after the change can be distinguished, they may be displayed in different colors. Good.

In this specific example, when the user moves the mouse pointer 104 on the auxiliary line 141, the numerical value acquisition unit 57 acquires the x-axis value, the y-axis value, and the z-axis value according to the position, It is assumed that the image generation unit 54 generates a corresponding drop line and the image display unit 55 displays it. For example, when (x, y, z) = (a, b, c) is acquired, the image generation unit 54 determines (x, y, z) = (a, b, 0) from the position of the point graphic 105. ) Image data of the drop line 142 up to. The image generation unit 54 also includes image data of a drop line 143 extending from a position on the xy coordinate plane of the drop line 142 to a point (x, y, z) = (a, 0, 0) on the x axis, Image data of a drop line 144 extending from a position on the xy coordinate plane to a point (x, y, z) = (0, b, 0) on the y axis is generated. Then, the image display unit 55 displays those drop lines. As a result, the user can visually know the x, y, and z values corresponding to the position of the mouse pointer 104. Assume that the user clicks the mouse when the mouse pointer 104 is present on the auxiliary line 141 at the position shown in FIG. Then, the second position designation accepting unit 56 determines that the designation of the position has been accepted (step S1008), and the numerical value obtaining unit 57 selects the x-axis numerical value “15”, the y-axis numerical value “5” corresponding to the position, The z-axis numerical value “34” is acquired (step S1009). Then, the numerical value acquisition unit 57 accumulates these numerical values in a recording medium (not shown) (step S1010), and the image generation unit 54 generates x-axis numerical image data and the like corresponding to the x-axis numerical values and the like (step S1011). The image display unit 55 displays the x-axis numerical image data and the like in the same manner as in FIG. 26 (step S1012). In this display, the auxiliary line 141 and the changed coordinate system 145 are deleted, and the display shown in FIG. 28 is performed.

When the x-axis numerical image data or the like is displayed, if the user clicks another position on the coordinate system, the previous point graphic 105 is deleted accordingly, and the point graphic 105 is at a new position. Is displayed, an auxiliary line 141 is displayed, and a position on the auxiliary line 141 is designated. Then, new x-axis numerical values and the like are acquired, and new x-axis numerical image data and the like are displayed.

In this specific example, when the auxiliary line (1) is displayed, the z-axis may not be displayed in order to clarify that the auxiliary line is a straight line on the xy plane. When displaying the auxiliary line (2), the coordinate system that has been displayed so far, that is, the coordinate system of the coordinate system image data stored in the image data storage unit 51 is not displayed. Also good.

As described above, according to the coordinate acquisition device 5 according to the present embodiment, even when the three-dimensional coordinate system is displayed on the two-dimensional plane, the three-dimensional coordinate system displayed on the two-dimensional plane. By specifying the position on the auxiliary line and specifying the position on the auxiliary line, the coordinates in the three-dimensional coordinate system can be uniquely specified and acquired. In addition, since the designation of the position for the second time is the designation of the position on the straight line corresponding to the designation of the position for the first time (that is, the auxiliary line), the designation of the position for the first time was not uniquely determined. By further specifying the range, one point in the three-dimensional space can be finally specified. Therefore, the user can specify one point on the three-dimensional space intuitively.

In the present embodiment, the image generation unit 54 determines positions on the x-axis, y-axis, and z-axis corresponding to the x-axis numerical value, the y-axis numerical value, and the z-axis numerical value acquired by the numerical value acquiring unit 57, respectively. Specific graphic image data, which is image data of a specific graphic for specifying, may also be generated. The image display unit 55 may also display the specific graphic image data generated by the image generation unit 54. Here, it is assumed that the specific figure is a figure that allows the user to know the values of the x-axis, the y-axis, and the z-axis by viewing the displayed specific figure. The specific figure may be, for example, drop lines 151 to 154 as shown in FIG. The user can know the values of the x-axis, y-axis, and z-axis corresponding to the point graphic 105 by the intersection of these drop lines and the x-axis, y-axis, and z-axis. The specific figure may be only the drop line 151 shown in FIG. The user can know the xy coordinate on the xy coordinate plane by the end point of the drop line 151 on the xy plane, and can know the value of the z axis by the height of the drop line 151 in the z-axis direction. Because you can. The specific figure may be a figure other than the drop line. For example, the specific figure may be a figure (for example, a shape such as a circle, a square, or a triangle) arranged at a position on the x axis corresponding to the x axis numerical value acquired by the numerical value acquisition unit 57. In addition, in step S1011 of the flowchart of FIG. 24, the image generation unit 54 may generate specific graphic image data together with the x-axis numerical image data or the like or instead of the x-axis numerical image data or the like. When the specific graphic image data is drop line image data, the x-axis numerical value acquired by the numerical value acquisition unit 57 is “a”, the y-axis numerical value is “b”, and the z-axis numerical value is “c” For example, the image generation unit 54 generates image data of the drop line 151 from the position of the point graphic 105 to (x, y, z) = (a, b, 0). The image generation unit 54 also includes image data of a drop line 152 extending from a position on the xy coordinate plane of the drop line 151 to a point (x, y, z) = (a, 0, 0) on the x axis, Image data of a drop line 153 extending from a position on the xy coordinate plane to a point (x, y, z) = (0, b, 0) on the y axis is generated. The image generation unit 54 generates image data of a drop line 154 extending from the position of the point graphic 105 to (x, y, z) = (0, 0, c). Note that the method of displaying the coordinate position of the drop line in the three-dimensional spatial coordinate system after converting it to screen coordinates or the like is already known in graph drawing software and the like, and detailed description thereof will be omitted. In this case, since the auxiliary line and the drop line are confused, it is preferable that the image display unit 55 does not display the auxiliary line image data in step S1012 in the flowchart of FIG.

In the first to fifth embodiments, when the image data storage unit storing image data is a VRAM, the image generation unit stores coordinate system image data and graph images in the image data storage unit that is the VRAM. You may perform the process which accumulate | stores data. Note that the processing for generating the coordinate system and graph image data is already known in graph drawing software and the like, and the description thereof will be omitted.

In the above embodiment, the case of displaying the BMI graph and the loan repayment graph has been mainly described, but it goes without saying that the type of the graph is not limited. In the above embodiment, the case where each axis is the x-axis, the y-axis, and the z-axis has been described. However, these are simply designations for identifying each axis, and the name of each axis is the x-axis, etc. Needless to say, it is not limited to.

In the above embodiment, the case where the electronic function graph display devices 1 to 4 and the coordinate acquisition device 5 are stand-alone has been described. However, the electronic function graph display devices 1 to 4 and the coordinate acquisition device 5 are stand-alone devices. It may be a server device in a server / client system. In the latter case, the output unit or the reception unit may receive input or output information via a communication line.

In the above embodiment, each process or each function may be realized by centralized processing by a single device or a single system, or may be distributedly processed by a plurality of devices or a plurality of systems. It may be realized by doing.

In the above embodiment, information related to processing executed by each component, for example, information received, acquired, selected, generated, transmitted, or received by each component In addition, information such as threshold values, mathematical formulas, addresses, etc. used by each component in processing is retained temporarily or over a long period of time on a recording medium (not shown) even when not explicitly stated in the above description. It may be. Further, the storage of information in the recording medium (not shown) may be performed by each component or a storage unit (not shown). Further, reading of information from the recording medium (not shown) may be performed by each component or a reading unit (not shown).

In the above embodiment, when information used by each component, for example, information such as a threshold value, an address, and various setting values used by each component may be changed by the user Even if it is not specified in the above description, the user may be able to change the information as appropriate, or it may not be. If the information can be changed by the user, the change is realized by, for example, a not-shown receiving unit that receives a change instruction from the user and a changing unit (not shown) that changes the information in accordance with the change instruction. May be. The change instruction received by the receiving unit (not shown) may be received from an input device, information received via a communication line, or information read from a predetermined recording medium, for example. .

In the above embodiment, when two or more components included in the electronic function graph display devices 1 to 4 and the coordinate acquisition device 5 have communication devices, input devices, etc., the two or more components are physically You may have a single device or you may have separate devices.

In the above-described embodiment, each component may be configured by dedicated hardware, or a component that can be realized by software may be realized by executing a program. For example, each component can be realized by a program execution unit such as a CPU reading and executing a software program recorded on a recording medium such as a hard disk or a semiconductor memory. In addition, the software which implement | achieves the electronic function graph display apparatus 1 in the said embodiment is the following programs. That is, this program causes a computer to display coordinate system image data that is image data of a two-dimensional coordinate system having an x-axis and a y-axis, and graph image data that is image data of a graph of a function y = f (x). Are stored in the image data storage unit in which the coordinate system image data is stored, a position designation receiving unit that accepts designation of the position on the coordinate system, and the x-axis corresponding to the position on the coordinate system accepted by the position designation receiving unit A numerical value acquisition unit that acquires an x-axis numerical value (assuming that this x-axis numerical value is “a”), and an x-axis numerical value acquired by the numerical value acquisition unit, a value of y = f (a) A point that is image data of a point graphic, which is a calculation unit that calculates a certain y-axis numerical value, an x-axis numerical value acquired by the numerical value acquisition unit, and a figure indicating a position on the coordinate system corresponding to the y-axis numerical value calculated by the calculation unit Graphic image data and x-axis numerical image Image generating unit for generating x-axis numerical image data as data and y-axis numerical image data as y-axis numerical image data, coordinate system image data and graph image data read out from the image data storage unit, and image The position designation receiving unit is functioned as an image display unit that displays the point graphic image data, the x-axis numerical image data, and the y-axis numerical image data generated by the generating unit. This is a program that accepts designation of a position via a graphical user interface on the coordinate system.

The software may be the following program. That is, this program causes a computer to perform coordinate system image data that is image data of a two-dimensional coordinate system having an x-axis and a y-axis, and a function y = f (x) or g (x, y) = c ( (Where c is a constant), a position designation accepting unit that accepts designation of the position on the coordinate system of the coordinate system image data stored in the image data storage unit in which the graph image data that is the image data of the graph is stored A numerical value acquisition unit that acquires a y-axis numerical value that is a y-axis value corresponding to a position on the coordinate system received by the position designation reception unit, and an x-axis when the y-axis numerical value acquired by the numerical value acquisition unit is substituted into a function Image data of a point graphic that is a figure indicating a position on the coordinate system corresponding to the x-axis numerical value calculated by the calculating unit, the numerical value acquiring unit, the y-axis numerical value acquired by the numerical value acquiring unit, and the x-axis numerical value Point graphic image data, Image generating unit that generates x-axis numerical image data that is image data of axis values and y-axis numerical image data that is image data of y-axis values, coordinate system image data and graph image data read from the image data storage unit And the point graphic image data generated by the image generation unit, the x-axis numerical image data, and the y-axis numerical image data. A program that accepts designation of a position via a graphical user interface on the coordinate system of the system image data may be used.

Further, the software that realizes the electronic function graph display device 2 in the above embodiment is the following program. That is, this program causes a computer to perform coordinate system image data that is image data of a three-dimensional coordinate system having an x-axis, a y-axis, and a z-axis, and image data of a graph of a function z = f (x, y). The position designation accepting unit for accepting designation of the position on the xy coordinate plane on the coordinate system of the coordinate system image data stored in the image data storage unit in which the graph image data is stored is accepted by the position designation accepting unit According to the position on the coordinate system, an x-axis value that is an x-axis value (assuming this x-axis value is “a”), and a y-axis value that is a y-axis value (this y-axis value is “ a z-axis numerical value that is a value of z = f (a, b) is calculated using a numerical value acquisition unit that acquires “b”) and an x-axis numerical value and a y-axis numerical value acquired by the numerical value acquisition unit. Calculation unit, x-axis numerical value and y-axis numerical value acquired by numerical value acquisition unit, and calculation unit calculates Point graphic image data that is image data of a point graphic that is a graphic indicating a position on the coordinate system corresponding to the z-axis numerical value, x-axis numerical image data that is image data of an x-axis numerical value, and an image of a y-axis numerical value Image generating unit for generating y-axis numerical image data as data and z-axis numerical image data as z-axis numerical image data, coordinate system image data and graph image data read from the image data storage unit, and image generation Function as an image display unit that displays the point graphic image data, x-axis numerical image data, y-axis numerical image data, and z-axis numerical image data generated by the unit, and the image display unit displays the position designation receiving unit. This is a program that accepts designation of a position via a graphical user interface on the coordinate system of the coordinate system image data.

The software that realizes the electronic function graph display device 3 in the above embodiment is the following program. That is, this program causes a computer to perform coordinate system image data that is image data of a three-dimensional coordinate system having an x-axis, a y-axis, and a z-axis, and a function z = f (x, y) or g (x, y, z) = c (where c is a constant) graph image data, which is image data of a graph, is stored in the image data storage unit of the coordinate system image data stored in the coordinate system. A first position specification receiving unit that receives a designation, a first numerical value acquisition unit that acquires a z-axis numerical value that is a z-axis value corresponding to the position received by the first position specification receiving unit, and z acquired by the first numerical value acquisition unit An xy coordinate plane image that is image data of a two-dimensional graph corresponding to the relationship between an x-axis value and a y-axis value when an axis value is substituted into a function, and an xy coordinate plane in which the two-dimensional graph exists. First image generation unit for generating data, position on xy coordinate plane A second position designation accepting unit for accepting designation of the second, a second numeric value obtaining unit for obtaining a y-axis numeric value corresponding to a position on the xy coordinate plane received by the second position designation accepting unit, and a first numeric value A calculation unit that calculates an x-axis value that is an x-axis value when the z-axis value acquired by the acquisition unit and the y-axis value acquired by the second numerical value acquisition unit are substituted into the function, and the first numerical value acquisition unit acquires Point figure image data which is image data of a point figure which is a figure indicating a position on the coordinate system corresponding to the z-axis numerical value, the y-axis numerical value acquired by the second numerical value acquisition unit, and the x-axis numerical value calculated by the calculation unit Generating x-axis numerical image data that is image data of x-axis numerical values, y-axis numerical image data that is image data of y-axis numerical values, and z-axis numerical image data that is image data of z-axis numerical values. 2 Coordinates read from image generator and image data storage Image data and graph image data, xy coordinate plane image data generated by the first image generation unit, point graphic image data generated by the second image generation unit, x-axis numerical image data, y-axis numerical image data, and z The first position designation receiving unit designates a position on the coordinate system of the coordinate system image data displayed by the image display unit via a graphical user interface. The accepting and second position designation accepting unit is a program that accepts designation of a position via a graphical user interface on the xy coordinate plane of the xy coordinate plane image data displayed by the image display unit.

The software that realizes the electronic function graph display device 4 in the above embodiment is the following program. That is, this program causes a computer to perform coordinate system image data that is image data of a three-dimensional coordinate system having an x-axis, a y-axis, and a z-axis, and a function z = f (x, y) or g (x, y, z) = c (where c is a constant) graph image data, which is image data of a graph, is stored in the image data storage unit of the coordinate system image data stored in the coordinate system. A position designation accepting unit that accepts designation, a straight line obtaining unit that obtains an equation of a straight line in the coordinate system according to a position on the coordinate system accepted by the position designation accepting unit, a linear equation obtained by the straight line obtaining unit, a function, and The calculation unit for calculating the intersection point of x, the x-axis value that is the x-axis value, the y-axis value that is the y-axis value, and the z-axis value that is the z-axis value corresponding to the intersection calculated by the calculation unit Image data of a point graphic that is a graphic showing the position on the coordinate system Point graphic image data, x-axis numerical image data that is x-axis numerical image data, y-axis numerical image data that is y-axis numerical image data, and z-axis numerical image that is z-axis numerical image data An image generation unit that generates data, coordinate system image data and graph image data read from the image data storage unit, point graphic image data generated by the image generation unit, x-axis numerical image data, y-axis numerical image data, and The position designation accepting unit accepts designation of a position via a graphical user interface on the coordinate system of the coordinate system image data displayed by the image display unit. Is a program.

The software that realizes the coordinate acquisition device 5 in the above embodiment is the following program. That is, this program stores the computer in a coordinate system image stored in an image data storage unit in which coordinate system image data that is image data of a three-dimensional coordinate system having an x axis, a y axis, and a z axis is stored. A first position designation accepting unit for accepting designation of a position on the coordinate system of data, a straight line obtaining unit for obtaining an equation of a straight line in the coordinate system according to the position on the coordinate system accepted by the first position designation accepting unit, An image generation unit that generates auxiliary line image data that is image data of an auxiliary line that passes through a position received by one position designation reception unit, coordinate system image data read from the image data storage unit, and an auxiliary line generated by the image generation unit An image display unit that displays image data, a second position designation accepting unit that accepts designation of a position on an auxiliary line, a straight line expression obtained by a straight line obtaining unit, and a position accepted by the second position designation accepting unit are used. A numerical value acquisition unit that acquires an x-axis value that is an x-axis value, a y-axis value that is a y-axis value, and a z-axis value that is a z-axis value according to the position received by the first position designation reception unit , Functioning as a numerical value output unit that outputs the x-axis numerical value, the y-axis numerical value, and the z-axis numerical value acquired by the numerical value acquiring unit, and the first position designation receiving unit is configured to display coordinates of the coordinate system image data displayed by the image display unit On the system, the designation of the position is received via the graphical user interface, and the second position designation receiving unit accepts the designation of the position via the graphical user interface on the auxiliary line of the auxiliary line image data displayed by the image display unit. Is a program.

In the above program, the functions realized by the program do not include functions that can only be realized by hardware. For example, functions that can be realized only by hardware such as a modem and an interface card in a reception unit that receives information and an output unit that outputs information are not included in at least the functions realized by the program.

Further, this program may be executed by being downloaded from a server or the like, and a program recorded on a predetermined recording medium (for example, an optical disk such as a CD-ROM, a magnetic disk, or a semiconductor memory) is read out. May be executed by Further, this program may be used as a program constituting a program product.

Further, the computer that executes this program may be singular or plural. That is, centralized processing may be performed, or distributed processing may be performed.

FIG. 30 is a schematic diagram showing an example of the external appearance of a computer that executes the program and realizes the electronic function graph display devices 1 to 4 and the coordinate acquisition device 5 according to the embodiment. The above-described embodiment can be realized by computer hardware and a computer program executed on the computer hardware.

In FIG. 30, a computer system 900 includes a computer 901 including a CD-ROM (Compact Disk Only Memory) drive 905 and an FD (Floppy (registered trademark) Disk) drive 906, a keyboard 902, a mouse 903, a monitor 904, Is provided.

FIG. 31 is a diagram showing an internal configuration of the computer system 900. As shown in FIG. In FIG. 31, in addition to the CD-ROM drive 905 and the FD drive 906, a computer 901 is connected to an MPU (Micro Processing Unit) 911, a ROM 912 for storing a program such as a bootup program, and the MPU 911. A RAM (Random Access Memory) 913 that temporarily stores program instructions and a temporary storage space, a hard disk 914 that stores application programs, system programs, and data, and an MPU 911 and a ROM 912 are interconnected. And a bus 915. The computer 901 may include a network card (not shown) that provides connection to the LAN.

Programs for causing the computer system 900 to execute the functions of the electronic function graph display devices 1 to 4 and the coordinate acquisition device 5 according to the above-described embodiment are stored in the CD-ROM 921 or FD 922, and are stored in the CD-ROM drive 905 or FD. It may be inserted into the drive 906 and transferred to the hard disk 914. Instead, the program may be transmitted to the computer 901 via a network (not shown) and stored in the hard disk 914. The program is loaded into the RAM 913 when executed. The program may be loaded directly from the CD-ROM 921, the FD 922, or the network.

The program does not necessarily include an operating system (OS) or a third-party program that causes the computer 901 to execute the functions of the electronic function graph display devices 1 to 4 and the coordinate acquisition device 5 according to the above-described embodiment. . The program may include only a part of an instruction that calls an appropriate function (module) in a controlled manner and obtains a desired result. How the computer system 900 operates is well known and will not be described in detail.

Further, the present invention is not limited to the above-described embodiment, and various modifications are possible, and it goes without saying that these are also included in the scope of the present invention.

As described above, according to the electronic function graph display device or the like according to the present invention, for example, an effect that coordinates according to an arbitrary point on the graph displayed in the coordinate system can be obtained is obtained. It is useful as a reading device. In addition, according to the coordinate acquisition device or the like according to the present invention, it is possible to uniquely specify and acquire the coordinates in the three-dimensional coordinate system corresponding to the position specified in the three-dimensional coordinate system displayed on the two-dimensional plane. For example, it is useful as a device for inputting coordinate values in a three-dimensional space using a three-dimensional coordinate system displayed on a two-dimensional plane.

Claims

An image data storage unit that stores coordinate system image data that is image data of a two-dimensional coordinate system having an x-axis and a y-axis, and graph image data that is image data of a graph of a function y = f (x) When,
A position designation accepting unit for accepting designation of a position on the coordinate system;
A numerical value acquisition unit for acquiring an x-axis numerical value (assuming that the x-axis numerical value is “a”) corresponding to a position on the coordinate system received by the position designation receiving unit;
A calculation unit that calculates a y-axis numerical value that is a value of y = f (a) using the x-axis numerical value acquired by the numerical value acquisition unit;
Point figure image data that is image data of a point figure that is a figure indicating a position on the coordinate system corresponding to the x-axis numerical value acquired by the numerical value acquisition unit and the y-axis numerical value calculated by the calculation unit; An image generation unit that generates x-axis numerical image data that is image data of axial values and y-axis numerical image data that is image data of y-axis values;
An image display unit for displaying coordinate system image data and graph image data read from the image data storage unit, and point graphic image data, x-axis numerical image data, and y-axis numerical image data generated by the image generation unit; With
The position designation accepting unit is an electronic function graph display device that accepts designation of a position via a graphical user interface on the coordinate system of the coordinate system image data displayed by the image display unit.
Coordinate system image data that is image data of a two-dimensional coordinate system having an x-axis and a y-axis, and a function y = f (x) or g (x, y) = c (where c is a constant) An image data storage unit that stores graph image data that is image data of a graph;
A position designation accepting unit for accepting designation of a position on the coordinate system;
A numerical value acquisition unit that acquires a y-axis numerical value that is a y-axis value according to a position on the coordinate system received by the position designation reception unit;
A calculation unit that calculates an x-axis value that is an x-axis value when the y-axis value acquired by the numerical value acquisition unit is substituted into the function;
Point figure image data that is image data of a point figure that is a figure indicating a position on the coordinate system corresponding to the y-axis numerical value acquired by the numerical value acquisition unit and the x-axis numerical value calculated by the calculation unit, and the x An image generation unit that generates x-axis numerical image data that is image data of axial values and y-axis numerical image data that is image data of y-axis values;
An image display unit for displaying coordinate system image data and graph image data read from the image data storage unit, and point graphic image data, x-axis numerical image data, and y-axis numerical image data generated by the image generation unit; With
The position designation accepting unit is an electronic function graph display device that accepts designation of a position via a graphical user interface on the coordinate system of the coordinate system image data displayed by the image display unit.
Coordinate system image data that is image data of a three-dimensional coordinate system having an x axis, a y axis, and a z axis, and graph image data that is image data of a graph of a function z = f (x, y) are stored. An image data storage unit,
A position designation accepting unit for accepting designation of a position on the xy coordinate plane on the coordinate system;
The x-axis value (assuming that this x-axis value is “a”) and the y-axis value corresponding to the position on the coordinate system received by the position designation receiving unit A numerical value acquisition unit that acquires a numerical value (assuming that this y-axis numerical value is “b”);
A calculation unit that calculates a z-axis numerical value that is a value of z = f (a, b) using the x-axis numerical value and the y-axis numerical value acquired by the numerical value acquisition unit;
Point graphic image data which is image data of a point graphic which is a graphic indicating the position on the coordinate system corresponding to the x-axis numerical value and the y-axis numerical value acquired by the numerical value acquisition unit and the z-axis numerical value calculated by the calculation unit. X-axis numerical image data that is the image data of the x-axis numerical value, y-axis numerical image data that is the image data of the y-axis numerical value, and z-axis numerical image data that is the image data of the z-axis numerical value An image generator to generate;
Coordinate system image data and graph image data read from the image data storage unit, point graphic image data generated by the image generation unit, x-axis numerical image data, y-axis numerical image data, and z-axis numerical image data An image display unit for displaying,
The position designation accepting unit is an electronic function graph display device that accepts designation of a position via a graphical user interface on the coordinate system of the coordinate system image data displayed by the image display unit.
coordinate system image data that is image data of a three-dimensional coordinate system having an x-axis, a y-axis, and a z-axis, and a function z = f (x, y) or g (x, y, z) = c (where an image data storage unit that stores graph image data that is image data of a graph of (c is a constant);
A first position designation accepting unit for accepting designation of a position on the coordinate system;
A first numerical value acquisition unit that acquires a z-axis numerical value that is a z-axis value according to the position received by the first position designation reception unit;
There are a two-dimensional graph corresponding to the relationship between the x-axis value and the y-axis value when the z-axis numerical value acquired by the first numerical value acquisition unit is substituted into the function, and the two-dimensional graph. a first image generation unit that generates xy coordinate plane image data that is image data with the xy coordinate plane;
A second position designation receiving unit for receiving designation of a position on the xy coordinate plane;
A second numerical value acquisition unit that acquires a y-axis numerical value that is a y-axis value according to a position on the xy coordinate plane received by the second position designation reception unit;
A calculation unit that calculates an x-axis numerical value that is an x-axis value when the z-axis numerical value acquired by the first numerical value acquisition unit and the y-axis numerical value acquired by the second numerical value acquisition unit are substituted into the function. When,
A figure indicating the position on the coordinate system corresponding to the z-axis numerical value acquired by the first numerical value acquisition unit, the y-axis numerical value acquired by the second numerical value acquisition unit, and the x-axis numerical value calculated by the calculation unit Point graphic image data that is image data of the point graphic, x-axis numerical image data that is the image data of the x-axis numerical value, y-axis numerical image data that is the image data of the y-axis numerical value, and the z-axis A second image generation unit that generates z-axis numerical image data that is numerical image data;
Coordinate system image data and graph image data read from the image data storage unit, xy coordinate plane image data generated by the first image generation unit, point graphic image data generated by the second image generation unit, an image display unit for displaying x-axis numerical image data, y-axis numerical image data, and z-axis numerical image data,
The first position designation accepting unit accepts designation of a position via a graphical user interface on the coordinate system of the coordinate system image data displayed by the image display unit,
The second position designation accepting unit is an electronic function graph display device that accepts designation of a position via a graphical user interface on the xy coordinate plane of the xy coordinate plane image data displayed by the image display unit.
coordinate system image data that is image data of a three-dimensional coordinate system having an x-axis, a y-axis, and a z-axis, and a function z = f (x, y) or g (x, y, z) = c (where an image data storage unit that stores graph image data that is image data of a graph of (c is a constant);
A position designation accepting unit for accepting designation of a position on the coordinate system;
A straight line acquisition unit that acquires a formula of a straight line in the coordinate system according to the position on the coordinate system received by the position designation reception unit;
A calculation unit for calculating an intersection of the straight line expression acquired by the straight line acquisition unit and the function;
A position on the coordinate system corresponding to an x-axis value that is an x-axis value, a y-axis value that is a y-axis value, and a z-axis value that is a z-axis value, corresponding to the intersection calculated by the calculation unit. Point figure image data which is image data of a point figure which is a figure to be shown, x-axis numerical image data which is image data of the x-axis numerical value, y-axis numerical image data which is image data of the y-axis numerical value, an image generator that generates z-axis numerical image data that is z-axis numerical image data;
Coordinate system image data and graph image data read from the image data storage unit, point graphic image data generated by the image generation unit, x-axis numerical image data, y-axis numerical image data, and z-axis numerical image data An image display unit for displaying,
The position designation accepting unit is an electronic function graph display device that accepts designation of a position via a graphical user interface on the coordinate system of the coordinate system image data displayed by the image display unit.
When the intersection calculated by the calculation unit is two or more points, the image generation unit also generates auxiliary line image data that is image data of an auxiliary line corresponding to the two or more points,
The image display unit also displays the auxiliary line image data generated by the image generation unit,
The position designation accepting unit accepts designation of a position on the auxiliary line;
A numerical value acquisition unit for acquiring an x-axis numerical value, a y-axis numerical value, and a z-axis numerical value according to the position on the auxiliary line received by the position designation receiving unit;
The image generation unit also generates x-axis numerical image data, y-axis numerical image data, and z-axis numerical image data corresponding to the x-axis numerical value, the y-axis numerical value, and the z-axis numerical value acquired by the numerical value acquisition unit, respectively. The electronic function graph display device according to claim 5.
an image data storage unit that stores coordinate system image data that is image data of a three-dimensional coordinate system having an x-axis, a y-axis, and a z-axis;
A first position designation accepting unit for accepting designation of a position on the coordinate system;
A straight line acquisition unit that acquires a formula of a straight line in the coordinate system according to the position on the coordinate system received by the first position designation reception unit;
An image generation unit that generates auxiliary line image data that is image data of an auxiliary line that passes through the position received by the first position designation receiving unit;
An image display unit for displaying the coordinate system image data read from the image data storage unit and the auxiliary line image data generated by the image generation unit;
A second position designation accepting unit for accepting designation of a position on the auxiliary line;
X is a value of the x-axis corresponding to the position received by the first position designation receiving unit using the formula of the straight line acquired by the straight line acquisition unit and the position received by the second position designation receiving unit. A numerical value acquisition unit that acquires an axial numerical value, a y-axis numerical value that is a y-axis value, and a z-axis numerical value that is a z-axis value;
A numerical value output unit that outputs the x-axis numerical value, the y-axis numerical value, and the z-axis numerical value acquired by the numerical value acquisition unit,
The first position designation accepting unit accepts designation of a position via a graphical user interface on the coordinate system of the coordinate system image data displayed by the image display unit,
The second position designation accepting unit is a coordinate acquisition device that accepts designation of a position via a graphical user interface on the auxiliary line of the auxiliary line image data displayed by the image display unit.
The auxiliary line is a projection of a straight line according to the straight line expression acquired by the straight line acquisition unit on the xy plane,
The numerical value acquisition unit acquires at least one of an x-axis numerical value and a y-axis numerical value corresponding to the position received by the second position designation receiving unit, and at least one of the x-axis numerical value and the y-axis numerical value is obtained as the straight line. The coordinate acquisition apparatus according to claim 7, wherein an x-axis numerical value, a y-axis numerical value, and a z-axis numerical value are acquired by substituting into the equation.
The auxiliary line is for displaying a straight line according to the straight line expression acquired by the straight line acquisition unit in a visual line direction different from the visual line direction according to the coordinate system,
The coordinate acquisition device according to claim 7, wherein the numerical value acquisition unit acquires an x-axis numerical value, a y-axis numerical value, and a z-axis numerical value corresponding to the position received by the second position designation receiving unit.
The image generation unit is an image of a specific figure for specifying a position on the x-axis, y-axis, and z-axis corresponding to the x-axis numerical value, the y-axis numerical value, and the z-axis numerical value acquired by the numerical value acquisition unit. Generate specific graphic image data that is data,
The coordinate acquisition device according to claim 7, wherein the image display unit also displays the specific graphic image data.
An image data storage unit that stores coordinate system image data that is image data of a two-dimensional coordinate system having an x-axis and a y-axis, and graph image data that is image data of a graph of a function y = f (x) And an electronic function graph display method processed by using a position designation receiving unit, a numerical value acquiring unit, a calculating unit, an image generating unit, and an image display unit,
A first image display step in which the image display unit displays coordinate system image data and graph image data read from the image data storage unit;
A position designation accepting step for accepting designation of a position via a graphical user interface on the coordinate system of the coordinate system image data displayed in the first image display step;
Numerical value acquisition by which the numerical value acquisition unit acquires an x-axis numerical value (assuming that this x-axis numerical value is “a”) corresponding to the position on the coordinate system received in the position designation receiving step. Steps,
A calculation step in which the calculation unit calculates a y-axis numerical value that is a value of y = f (a) using the x-axis numerical value acquired in the numerical value acquisition step;
A point graphic that is image data of a point graphic that is a graphic indicating a position on the coordinate system corresponding to the x-axis numerical value acquired in the numerical value acquisition step and the y-axis numerical value calculated in the calculation step. An image generation step of generating image data, x-axis numerical image data that is image data of the x-axis numerical value, and y-axis numerical image data that is image data of the y-axis numerical value;
An electronic function graph display method comprising: a second image display step in which the image display unit displays the point graphic image data, the x-axis numerical image data, and the y-axis numerical image data generated in the image generating step.
Coordinate system image data that is image data of a two-dimensional coordinate system having an x-axis and a y-axis, and a function y = f (x) or g (x, y) = c (where c is a constant) Processing is performed using an image data storage unit that stores graph image data that is image data of a graph, a position designation receiving unit, a numerical value acquisition unit, a calculation unit, an image generation unit, and an image display unit. An electronic function graph display method,
A first image display step in which the image display unit displays coordinate system image data and graph image data read from the image data storage unit;
A position designation accepting step for accepting designation of a position via a graphical user interface on the coordinate system of the coordinate system image data displayed in the first image display step;
A numerical value acquisition step in which the numerical value acquisition unit acquires a y-axis numerical value that is a y-axis value corresponding to the position on the coordinate system received in the position designation reception step;
A calculating step in which the calculating unit calculates an x-axis numerical value that is an x-axis value when the y-axis numerical value acquired in the numerical value acquiring step is substituted into the function;
Point graphic that is image data of a point graphic that is a graphic indicating a position on the coordinate system corresponding to the y-axis numerical value acquired in the numerical value acquisition step and the x-axis numerical value calculated in the calculation step. An image generation step of generating image data, x-axis numerical image data that is image data of the x-axis numerical value, and y-axis numerical image data that is image data of the y-axis numerical value;
An electronic function graph display method comprising: a second image display step in which the image display unit displays the point graphic image data, the x-axis numerical image data, and the y-axis numerical image data generated in the image generating step.
Coordinate system image data that is image data of a three-dimensional coordinate system having an x axis, a y axis, and a z axis, and graph image data that is image data of a graph of a function z = f (x, y) are stored. An electronic function graph display method processed using an image data storage unit, a position designation receiving unit, a numerical value acquisition unit, a calculation unit, an image generation unit, and an image display unit,
A first image display step in which the image display unit displays coordinate system image data and graph image data read from the image data storage unit;
A position designation accepting step for accepting designation of a position via a graphical user interface on the coordinate system of the coordinate system image data displayed in the first image display step;
An x-axis numerical value (assuming that this x-axis numerical value is “a”) and a y-axis according to the position on the coordinate system received in the position designation receiving step by the numerical value acquisition unit; A numerical value acquisition step of acquiring a y-axis numerical value (assuming that the y-axis numerical value is “b”) that is a value of
A calculation step in which the calculation unit calculates a z-axis numerical value that is a value of z = f (a, b) using the x-axis numerical value and the y-axis numerical value acquired in the numerical value acquiring step;
Image data of a point graphic that is a graphic indicating the position on the coordinate system corresponding to the x-axis numerical value and the y-axis numerical value acquired in the numerical value acquisition step and the z-axis numerical value calculated in the calculation step. Point figure image data, x-axis numerical image data that is the x-axis numerical image data, y-axis numerical image data that is the y-axis numerical image data, and z that is the z-axis numerical image data An image generation step for generating numerical axis image data;
A second image display step for displaying the point graphic image data, the x-axis numerical image data, the y-axis numerical image data, and the z-axis numerical image data generated in the image generating step; Electronic function graph display method.
coordinate system image data that is image data of a three-dimensional coordinate system having an x-axis, a y-axis, and a z-axis, and a function z = f (x, y) or g (x, y, z) = c (where an image data storage unit that stores graph image data that is image data of a graph of (c is a constant), a first position designation receiving unit, a first numerical value acquiring unit, and a first image generating unit An electronic function graph display method processed using a second position designation receiving unit, a second numerical value acquisition unit, a calculation unit, a second image generation unit, and an image display unit,
A first image display step in which the image display unit displays coordinate system image data and graph image data read from the image data storage unit;
A first position designation accepting step in which the first position designation accepting unit accepts designation of a position via a graphical user interface on the coordinate system of the coordinate system image data displayed in the first image display step;
A first numerical value acquisition step in which the first numerical value acquisition unit acquires a z-axis numerical value that is a z-axis value corresponding to the position received in the first position designation reception step;
A two-dimensional graph corresponding to a relationship between an x-axis value and a y-axis value when the first image generation unit substitutes the z-axis value acquired in the first numerical value acquisition step into the function; A first image generation step of generating xy coordinate plane image data that is image data with the xy coordinate plane in which the two-dimensional graph exists;
A second image display step in which the image display unit displays the xy coordinate plane image data generated in the first image generation step;
A second position designation accepting step for accepting designation of a position via a graphical user interface on the xy coordinate plane of the xy coordinate plane image data displayed in the second image display step; When,
A second numerical value acquisition step in which the second numerical value acquisition unit acquires a y-axis numerical value that is a y-axis value corresponding to the position on the xy coordinate plane received in the second position designation reception step;
An x-axis numerical value that is an x-axis value when the calculation unit substitutes the z-axis numerical value acquired in the first numerical value acquisition step and the y-axis numerical value acquired in the second numerical value acquisition step into the function. A calculating step for calculating
The second image generation unit corresponds to the z-axis numerical value acquired in the first numerical value acquisition step, the y-axis numerical value acquired in the second numerical value acquisition step, and the x-axis numerical value calculated in the calculation step. Point graphic image data that is image data of a point graphic that is a graphic indicating a position on the coordinate system, x-axis numerical image data that is image data of the x-axis numerical value, and y that is image data of the y-axis numerical value A second image generation step of generating axial numerical image data and z-axis numerical image data which is image data of the z-axis numerical value;
A third image display step in which the image display unit displays the point graphic image data, the x-axis numerical image data, the y-axis numerical image data, and the z-axis numerical image data generated in the second image generation step; An electronic function graph display method comprising:
coordinate system image data that is image data of a three-dimensional coordinate system having an x-axis, a y-axis, and a z-axis, and a function z = f (x, y) or g (x, y, z) = c (where an image data storage unit that stores graph image data that is image data of a graph of (c is a constant), a position designation receiving unit, a straight line acquisition unit, a calculation unit, an image generation unit, and an image display unit Electronic function graph display method processed using
A first image display step in which the image display unit displays coordinate system image data and graph image data read from the image data storage unit;
A position designation accepting step for accepting designation of a position via a graphical user interface on the coordinate system of the coordinate system image data displayed in the first image display step;
The straight line acquisition unit acquires a straight line expression in the coordinate system according to the position on the coordinate system received in the position designation reception step;
The calculation unit calculates the intersection of the straight line expression acquired in the straight line acquisition step and the function; and
The image generation unit corresponds to the x-axis value that is the x-axis value, the y-axis value that is the y-axis value, and the z-axis value that is the z-axis value corresponding to the intersection calculated in the calculation step. Point graphic image data that is image data of a point graphic that is a graphic indicating a position on the coordinate system, x-axis numerical image data that is image data of the x-axis numerical value, and y-axis that is image data of the y-axis numerical value An image generation step of generating numerical image data and z-axis numerical image data which is image data of the z-axis numerical value;
A second image display step for displaying the point graphic image data, the x-axis numerical image data, the y-axis numerical image data, and the z-axis numerical image data generated in the image generating step; Electronic function graph display method.
An image data storage unit that stores coordinate system image data that is image data of a three-dimensional coordinate system having an x-axis, a y-axis, and a z-axis, a first position designation receiving unit, a straight line acquisition unit, an image An electronic function graph display method processed using a generation unit, an image display unit, a second position designation reception unit, a numerical value acquisition unit, and a numerical value output unit,
A first image display step in which the image display unit displays coordinate system image data read from the image data storage unit;
A first position designation accepting step in which the first position designation accepting unit accepts designation of a position via a graphical user interface on the coordinate system of the coordinate system image data displayed in the first image display step;
A straight line acquisition step in which the straight line acquisition unit acquires a formula of a straight line in the coordinate system according to the position on the coordinate system received in the first position designation reception step;
An image generating step in which the image generating unit generates auxiliary line image data that is image data of an auxiliary line passing through the position received in the first position designation receiving step;
A second image display step in which the image display unit displays the auxiliary line image data generated in the image generation step;
A second position designation accepting step for accepting designation of a position via a graphical user interface on the auxiliary line of the auxiliary line image data displayed in the second image display step;
X corresponding to the position received in the first position designation accepting step using the formula of the straight line obtained in the straight line obtaining step and the position accepted in the second position designation accepting step. A numerical value acquisition step of acquiring an x-axis numerical value that is an axis value, a y-axis numerical value that is a y-axis value, and a z-axis numerical value that is a z-axis value;
A coordinate acquisition method comprising: a numerical value output step in which the numerical value output unit outputs an x-axis numerical value, a y-axis numerical value, and a z-axis numerical value acquired in the numerical value acquisition step.
Computer
An image data storage unit that stores coordinate system image data that is image data of a two-dimensional coordinate system having an x-axis and a y-axis, and graph image data that is image data of a graph of a function y = f (x) A position designation accepting unit for accepting designation of a position on the coordinate system of the coordinate system image data stored in
A numerical value acquisition unit for acquiring an x-axis numerical value (assuming that this x-axis numerical value is “a”) corresponding to the position on the coordinate system received by the position designation receiving unit;
A calculation unit that calculates a y-axis numerical value that is a value of y = f (a) using the x-axis numerical value acquired by the numerical value acquisition unit;
Point figure image data that is image data of a point figure that is a figure indicating a position on the coordinate system corresponding to the x-axis numerical value acquired by the numerical value acquisition unit and the y-axis numerical value calculated by the calculation unit; An image generation unit that generates x-axis numerical image data that is image data of an axis value and y-axis numerical image data that is image data of the y-axis value;
An image display unit for displaying the coordinate system image data and the graph image data read from the image data storage unit, the point graphic image data generated by the image generation unit, the x-axis numerical image data, and the y-axis numerical image data; Function as
The position designation accepting unit is a program that accepts designation of a position via a graphical user interface on the coordinate system of the coordinate system image data displayed by the image display unit.
Computer
Coordinate system image data that is image data of a two-dimensional coordinate system having an x-axis and a y-axis, and a function y = f (x) or g (x, y) = c (where c is a constant) A position designation accepting unit that accepts designation of a position on the coordinate system of the coordinate system image data stored in an image data storage unit in which graph image data that is image data of a graph is stored;
A numerical value acquisition unit that acquires a y-axis numerical value that is a y-axis value according to a position on the coordinate system received by the position designation reception unit;
A calculation unit that calculates an x-axis numerical value that is a value of the x-axis when the y-axis numerical value acquired by the numerical value acquisition unit is substituted into the function;
Point figure image data that is image data of a point figure that is a figure indicating a position on the coordinate system corresponding to the y-axis numerical value acquired by the numerical value acquisition unit and the x-axis numerical value calculated by the calculation unit, and the x An image generation unit that generates x-axis numerical image data that is image data of an axis value and y-axis numerical image data that is image data of the y-axis value;
An image display unit for displaying the coordinate system image data and the graph image data read from the image data storage unit, the point graphic image data generated by the image generation unit, the x-axis numerical image data, and the y-axis numerical image data; Function as
The position designation accepting unit is a program that accepts designation of a position via a graphical user interface on the coordinate system of the coordinate system image data displayed by the image display unit.
Computer
Coordinate system image data that is image data of a three-dimensional coordinate system having an x axis, a y axis, and a z axis, and graph image data that is image data of a graph of a function z = f (x, y) are stored. A position designation accepting unit for accepting designation of a position on the xy coordinate plane on the coordinate system of the coordinate system image data stored in the image data storage unit;
The x-axis value (assuming that this x-axis value is “a”) and the y-axis value corresponding to the position on the coordinate system received by the position designation receiving unit A numerical value acquisition unit for acquiring a numerical value (assuming that this y-axis numerical value is “b”);
A calculation unit that calculates a z-axis numerical value that is a value of z = f (a, b) using the x-axis numerical value and the y-axis numerical value acquired by the numerical value acquisition unit;
Point graphic image data which is image data of a point graphic which is a graphic indicating the position on the coordinate system corresponding to the x-axis numerical value and the y-axis numerical value acquired by the numerical value acquisition unit and the z-axis numerical value calculated by the calculation unit. X-axis numerical image data that is the image data of the x-axis numerical value, y-axis numerical image data that is the image data of the y-axis numerical value, and z-axis numerical image data that is the image data of the z-axis numerical value An image generator to generate,
Coordinate system image data and graph image data read from the image data storage unit, point graphic image data generated by the image generation unit, x-axis numerical image data, y-axis numerical image data, and z-axis numerical image data Function as an image display section to display,
The position designation accepting unit is a program that accepts designation of a position via a graphical user interface on the coordinate system of the coordinate system image data displayed by the image display unit.
Computer
coordinate system image data that is image data of a three-dimensional coordinate system having an x-axis, a y-axis, and a z-axis, and a function z = f (x, y) or g (x, y, z) = c (where (c is a constant) First position designation that accepts designation of a position on the coordinate system of the coordinate system image data stored in the image data storage unit in which the graph image data that is the image data of the graph is stored Reception desk,
A first numerical value acquisition unit that acquires a z-axis numerical value that is a z-axis value corresponding to the position received by the first position designation reception unit;
There are a two-dimensional graph corresponding to the relationship between the x-axis value and the y-axis value when the z-axis numerical value acquired by the first numerical value acquisition unit is substituted into the function, and the two-dimensional graph. a first image generation unit that generates xy coordinate plane image data that is image data with the xy coordinate plane;
A second position designation accepting unit for accepting designation of a position on the xy coordinate plane;
A second numerical value acquisition unit that acquires a y-axis numerical value that is a y-axis value according to a position on the xy coordinate plane received by the second position designation reception unit;
A calculation unit that calculates an x-axis numerical value that is an x-axis value when the z-axis numerical value acquired by the first numerical value acquisition unit and the y-axis numerical value acquired by the second numerical value acquisition unit are substituted into the function. ,
A figure indicating the position on the coordinate system corresponding to the z-axis numerical value acquired by the first numerical value acquisition unit, the y-axis numerical value acquired by the second numerical value acquisition unit, and the x-axis numerical value calculated by the calculation unit Point graphic image data that is image data of the point graphic, x-axis numerical image data that is the image data of the x-axis numerical value, y-axis numerical image data that is the image data of the y-axis numerical value, and the z-axis A second image generating unit that generates z-axis numerical image data that is numerical image data;
Coordinate system image data and graph image data read from the image data storage unit, xy coordinate plane image data generated by the first image generation unit, point graphic image data generated by the second image generation unit, function as an image display unit for displaying x-axis numerical image data, y-axis numerical image data, and z-axis numerical image data,
The first position designation accepting unit accepts designation of a position via a graphical user interface on the coordinate system of the coordinate system image data displayed by the image display unit,
The second position designation accepting unit is a program for accepting designation of a position via a graphical user interface on the xy coordinate plane of the xy coordinate plane image data displayed by the image display unit.
Computer
coordinate system image data that is image data of a three-dimensional coordinate system having an x-axis, a y-axis, and a z-axis, and a function z = f (x, y) or g (x, y, z) = c (where a position designation accepting unit for accepting designation of a position on the coordinate system of the coordinate system image data stored in an image data storage unit in which graph image data that is image data of a graph of (c is a constant) is stored;
A straight line acquisition unit that acquires a formula of a straight line in the coordinate system according to the position on the coordinate system received by the position designation reception unit;
A calculation unit that calculates an intersection of the equation of the straight line acquired by the straight line acquisition unit and the function;
A position on the coordinate system corresponding to an x-axis value that is an x-axis value, a y-axis value that is a y-axis value, and a z-axis value that is a z-axis value, corresponding to the intersection calculated by the calculation unit. Point figure image data which is image data of a point figure which is a figure to be shown, x-axis numerical image data which is image data of the x-axis numerical value, y-axis numerical image data which is image data of the y-axis numerical value, an image generation unit that generates z-axis numerical image data that is z-axis numerical image data;
Coordinate system image data and graph image data read from the image data storage unit, point graphic image data generated by the image generation unit, x-axis numerical image data, y-axis numerical image data, and z-axis numerical image data Function as an image display section to display,
The position designation accepting unit is a program that accepts designation of a position via a graphical user interface on the coordinate system of the coordinate system image data displayed by the image display unit.
Computer
A position on the coordinate system of the coordinate system image data stored in an image data storage unit in which coordinate system image data, which is image data of a three-dimensional coordinate system having an x-axis, a y-axis, and a z-axis, is stored. A first position designation accepting unit for accepting designation;
A straight line acquisition unit that acquires a formula of a straight line in the coordinate system according to a position on the coordinate system received by the first position designation reception unit;
An image generation unit that generates auxiliary line image data that is image data of an auxiliary line passing through the position received by the first position designation receiving unit;
An image display unit for displaying the coordinate system image data read from the image data storage unit and the auxiliary line image data generated by the image generation unit;
A second position designation accepting unit for accepting designation of a position on the auxiliary line;
X is a value of the x-axis corresponding to the position received by the first position designation receiving unit using the formula of the straight line acquired by the straight line acquisition unit and the position received by the second position designation receiving unit. A numerical value acquisition unit that acquires an axial numerical value, a y-axis numerical value that is a y-axis value, and a z-axis numerical value that is a z-axis value;
Function as a numerical value output unit that outputs the x-axis numerical value, the y-axis numerical value, and the z-axis numerical value acquired by the numerical value acquisition unit,
The first position designation accepting unit accepts designation of a position via a graphical user interface on the coordinate system of the coordinate system image data displayed by the image display unit,
The second position designation receiving unit receives a designation of a position via a graphical user interface on the auxiliary line of the auxiliary line image data displayed by the image display unit.