CN110110280B - Curve integral calculation method, device and equipment for coordinates and storage medium - Google Patents
Curve integral calculation method, device and equipment for coordinates and storage medium Download PDFInfo
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Abstract
The invention belongs to the technical field of mathematical computation, and discloses a method, a device, equipment and a storage medium for calculating curve integral of a coordinate. The method comprises the steps of obtaining integral data corresponding to curve integral of coordinates to be calculated; determining a target calculation type corresponding to curve integration of coordinates according to the integration data; determining a format conversion standard corresponding to the integral data according to the target calculation type; converting the integral data according to a format conversion standard to obtain a curve integral model conforming to a preset format; determining an integral calculation formula corresponding to curve integral of the coordinates according to the curve integral model; and calculating an integral result corresponding to curve integral of the coordinates according to the integral data and the integral calculation formula. By the mode, the technical problems of high requirement and high difficulty in calculating curve integral of coordinates in the prior art are solved.
Description
Technical Field
The present invention relates to the field of mathematical computation, and in particular, to a method, an apparatus, a device, and a storage medium for calculating a curve integral of a coordinate.
Background
The curve integration of coordinates is a specific curve integration, also commonly referred to as a second type of curve integration.
Currently, in order to facilitate calculation of curve integral of coordinates, a plurality of calculation devices for curve integral of coordinates are sequentially introduced.
However, since in actual calculation, curve integration of coordinates is generally divided into plane curve integration of coordinates and space curve integration of coordinates, and each type of curve integration of coordinates has various formats due to writing habits of users. Thus, when calculating the curve integral to the coordinates, the user needs to determine which type of curve integral to be calculated to the coordinates by himself, which integral calculation formula needs to be used, and then selects a calculation device specially calculating such curve integral to the coordinates to calculate.
Although, the integral result of curve integral of the coordinates can be calculated quickly and accurately by using the calculation devices. However, for a beginner who does not grasp the characteristics and calculation principles of the curve integration of coordinates in various formats, when taking one curve integration equation of coordinates, it is often impossible to accurately determine which type of curve integration of coordinates corresponds to the curve integration equation of coordinates at present, which integration calculation formula needs to be selected, and which calculation device of curve integration of coordinates needs to be selected for calculation, so that the corresponding integration result cannot be calculated quickly and accurately at all.
Therefore, it is desirable to provide a calculation scheme capable of calculating different types of curve integrals for coordinates, so that any user can quickly and accurately calculate the integral results of the various types of curve integrals for coordinates.
The foregoing is provided merely for the purpose of facilitating understanding of the technical solutions of the present invention and is not intended to represent an admission that the foregoing is prior art.
Disclosure of Invention
The invention mainly aims to provide a method, a device, equipment and a storage medium for calculating curve integral of coordinates, and aims to solve the technical problems of high requirement and high difficulty in calculating curve integral of a coordinate in the prior art.
In order to achieve the above object, the present invention provides a method for calculating a curve integral of a coordinate, the method comprising the steps of:
acquiring integral data corresponding to curve integral of coordinates to be calculated;
determining a target calculation type corresponding to curve integration of the pair of coordinates according to the integration data;
determining a format conversion standard corresponding to the integral data according to the target calculation type;
converting the integral data according to the format conversion standard to obtain a curve integral model conforming to a preset format;
Determining an integral calculation formula corresponding to the curve integral of the pair of coordinates according to the curve integral model;
and calculating an integration result corresponding to the curve integration of the coordinates according to the integration data and the integration calculation formula.
Preferably, the step of determining the target calculation type corresponding to the curve integration of the coordinates according to the integration data includes:
determining the type of an integral symbol in the integral data;
if the type of the integral symbol is a two-dimensional curve integral symbol, determining that the target calculation type corresponding to the curve integral of the coordinates is a plane curve integral calculation type of the coordinates;
and if the type of the integral symbol is a three-dimensional curve integral symbol, determining the target calculation type corresponding to the curve integral of the coordinates as a space curve integral calculation type of the coordinates.
Preferably, the format conversion standard includes: a variable conversion rule and an integral variable data position arrangement rule;
the step of converting the integral data according to the format conversion standard to obtain a curve integral model conforming to a preset format comprises the following steps:
converting the integral data into character strings, and filtering illegal characters in the character strings to obtain integral data to be processed;
Extracting initial integral variable data from the integral data to be processed, and replacing variable values corresponding to the initial integral variable data with preset characters according to the variable conversion rule to obtain target integral variable data;
and according to the integral variable data position arrangement rule, arranging the integral variable data of each target in sequence to obtain the curve integral model.
Preferably, before the step of determining the integral calculation formula corresponding to the curve integral of the coordinates according to the curve integral model, the method further includes:
judging whether the curve integral model is available or not;
if the curve integration model is available, executing the operation of determining an integration calculation formula corresponding to the curve integration of the coordinates according to the curve integration model;
and if the curve integral model is not available, performing error prompt.
Preferably, the step of determining whether the curve integration model is available includes:
determining a curve integral model library to be searched according to the target calculation type;
traversing the curve integral model library, and comparing the traversed current preset curve integral model with the curve integral model;
If the curve integral model is the same as the preset curve integral model, determining that the curve integral model is available;
otherwise, it is determined that the curve integration model is not available.
Preferably, before the step of determining the curve integral model library to be searched according to the target calculation type, the method further includes:
constructing the curve integral model library according to the target calculation type, and establishing a corresponding relation between the target calculation type and the curve integral model library;
the step of determining a curve integral model library to be searched according to the target calculation type comprises the following steps:
and determining a curve integral model library corresponding to the target calculation type according to the corresponding relation between the target calculation type and the curve integral model library.
Preferably, the step of calculating an integration result corresponding to the curve integration of the coordinates according to the integration data and the integration calculation formula includes:
extracting an integral variable and a value range corresponding to the integral variable from the integral data;
and calculating an integral result corresponding to the curve integral of the pair of coordinates according to the integral variable, the value range corresponding to the integral variable and the integral calculation formula.
In order to achieve the above object, the present invention also provides a curve integral calculation device for coordinates, the device including:
the acquisition module is used for acquiring integral data corresponding to curve integral of the coordinates to be calculated;
the first determining module is used for determining a target calculation type corresponding to the curve integration of the pair of coordinates according to the integration data;
the second determining module is used for determining a format conversion standard corresponding to the integral data according to the target calculation type;
the conversion module is used for converting the integral data according to the format conversion standard to obtain a curve integral model conforming to a preset format;
the third determining module is used for determining an integral calculation formula corresponding to the curve integral of the pair of coordinates according to the curve integral model;
and the calculation module is used for calculating an integration result corresponding to the curve integration of the coordinates according to the integration data and the integration calculation formula.
In order to achieve the above object, the present invention further proposes a curve integration calculation device for coordinates, the device comprising: a memory, a processor and a curve integral calculation program for coordinates stored on the memory and executable on the processor, the curve integral calculation program for coordinates being configured to implement the steps of the curve integral calculation method for coordinates as described above.
Furthermore, to achieve the above object, the present invention also proposes a computer-readable storage medium having stored thereon a curve integration calculation program for coordinates, which when executed by a processor, implements the steps of the curve integration calculation method for coordinates as described above.
According to the curve integral calculation scheme for the coordinates, when calculating the integral result of the curve integral for the coordinates, a user does not need to consider the calculation type corresponding to the curve integral for the coordinates to be calculated, but directly triggers the calculation operation of the curve integral for the coordinates, integral data corresponding to the curve integral for the coordinates to be calculated are obtained by the terminal equipment, then the target calculation type corresponding to the curve integral for the coordinates to be calculated is determined by the terminal equipment according to the obtained integral data, the format conversion standard corresponding to the integral data is determined according to the determined target calculation type, then the integral data is converted according to the format conversion standard, so that a curve integral model conforming to a preset format is obtained, then an integral calculation formula corresponding to the curve integral for the coordinates is determined by utilizing the obtained curve integral model, and finally the integral result corresponding to the curve integral for the coordinates can be automatically calculated according to the integral data and the determined integral calculation formula.
Because the whole calculation process is that the user only needs to provide the integral data corresponding to the curve integral of the coordinates to be calculated, and does not need to learn and master any calculation principle of the curve integral of the coordinates, the user operation is greatly simplified, and any user can quickly and accurately calculate the integral results of the curve integral of the coordinates of various types.
Drawings
FIG. 1 is a schematic diagram of a coordinate curve integrating computing device of a hardware operating environment according to an embodiment of the present invention;
FIG. 2 is a flowchart of a first embodiment of a method for calculating curve integral of coordinates according to the present invention;
FIG. 3 is a flowchart of a method for calculating curve integral of coordinates according to a second embodiment of the present invention;
fig. 4 is a block diagram of a first embodiment of a coordinate curve integrating device according to the present invention.
The achievement of the objects, functional features and advantages of the present invention will be further described with reference to the accompanying drawings, in conjunction with the embodiments.
Detailed Description
It should be understood that the specific embodiments described herein are for purposes of illustration only and are not intended to limit the scope of the invention.
Referring to fig. 1, fig. 1 is a schematic structural diagram of a coordinate curve integrating computing device in a hardware running environment according to an embodiment of the present invention.
As shown in fig. 1, the curve integration calculation device for the pair of coordinates may include: a processor 1001, such as a central processing unit (Central Processing Unit, CPU), a communication bus 1002, a user interface 1003, a network interface 1004, a memory 1005. Wherein the communication bus 1002 is used to enable connected communication between these components. The user interface 1003 may include a Display, an input unit such as a Keyboard (Keyboard), and the optional user interface 1003 may further include a standard wired interface, a wireless interface. The network interface 1004 may optionally include a standard wired interface, a WIreless interface (e.g., a WIreless-FIdelity (WI-FI) interface). The Memory 1005 may be a high-speed random access Memory (Random Access Memory, RAM) Memory or a stable nonvolatile Memory (NVM), such as a disk Memory. The memory 1005 may also optionally be a storage device separate from the processor 1001 described above.
Those skilled in the art will appreciate that the structure shown in fig. 1 does not constitute a limitation of a curve integrating computing device for coordinates, and may include more or fewer components than shown, or may combine certain components, or may be a different arrangement of components.
As shown in fig. 1, an operating system, a network communication module, a user interface module, and a curve integral calculation program for coordinates may be included in the memory 1005 as one storage medium.
In the curve-integrating computing device for coordinates shown in fig. 1, the network interface 1004 is mainly used for data communication with a network server; the user interface 1003 is mainly used for data interaction with a user; the processor 1001 and the memory 1005 in the coordinate curve integration computing device of the present invention may be provided in the coordinate curve integration computing device, where the coordinate curve integration computing device invokes the coordinate curve integration computing program stored in the memory 1005 through the processor 1001, and executes the coordinate curve integration computing method provided by the embodiment of the present invention.
An embodiment of the present invention provides a method for calculating curve integral of coordinates, and referring to fig. 2, fig. 2 is a schematic flow chart of a first embodiment of a method for calculating curve integral of coordinates according to the present invention.
In this embodiment, the method for calculating the curve integral of the coordinate includes the following steps:
step S10, obtaining integral data corresponding to curve integral of coordinates to be calculated.
In particular, in practical applications, the integral data may be from a user's manual input or from data output internally by the system awaiting further processing.
For convenience of explanation, this embodiment will be described taking the example that the integral data is from user input.
Further, it should be understood that, in the present embodiment, the above-described integral data specifically refers to integral equation data corresponding to curve integral of coordinates to be calculated.
And step S20, determining the target calculation type corresponding to the curve integration of the coordinates according to the integration data.
In particular, since in practical applications, the curve integral of coordinates can be generally divided into two types, the first type is plane curve integral of coordinates, and the second type is space curve integral of coordinates.
Thus, the target calculation type corresponding to the curve integration of the coordinates is determined according to the integration data, specifically, whether the curve integration of the coordinates is a plane curve integration calculation type of the coordinates or a space curve integration calculation type of the coordinates is determined according to the integration data.
It can be seen from an observation of a large number of curve integrals for coordinates that the curve integral for coordinates is a planar curve integral for coordinates when the type of integral symbol in the curve integral for coordinates is a two-dimensional curve integral symbol f (xy) and that the curve integral for coordinates is a spatial curve integral for coordinates when the type of integral symbol in the curve integral for coordinates is a three-dimensional curve integral symbol f (xyz).
Therefore, when determining the target calculation type corresponding to the curve integration of the coordinates according to the integration data, the determination can be specifically performed by determining the type class of the integration symbol in the integration data.
For example, when the type of the integral symbol is a two-dimensional curve integral symbol, it is determined that the target calculation type corresponding to the curve integral of the coordinates is a planar curve integral calculation type of the coordinates.
Also, for example, when the type of the integral symbol is a three-dimensional curve integral symbol, it is determined that the target calculation type corresponding to the curve integral of the coordinates is a space curve integral calculation type of the coordinates.
As for the operation of determining the type of the integral symbol in the integral data, it may be specifically determined that the type of the integral symbol in the current integral data is a two-dimensional curve integral symbol or a three-dimensional curve integral symbol by traversing the integral data if several successively traversed bit data are combined to be the two-dimensional curve integral symbol or the three-dimensional curve integral symbol.
It should be understood that the foregoing is only a specific implementation manner of determining the target calculation type corresponding to the curve integral of the coordinates according to the integral data, and the technical solution of the present invention is not limited in any way, and in specific applications, those skilled in the art may set the implementation manner as required, which is not limited in this aspect of the present invention.
And step S30, determining a format conversion standard corresponding to the integral data according to the target calculation type.
Specifically, since the final determined target calculation types are different, the determined format conversion standards may also be different.
For example, for the type of planar curve integral calculation on coordinates, the integral variables contained are integral variable x and integral variable y. Therefore, in the format conversion standard for the target calculation type, the value corresponding to the integral variable x can be respectively represented by a variable symbol a and a variable symbol b, and the value corresponding to the integral variable y can be respectively represented by a variable symbol c and a variable symbol d.
Also for example, for the type of spatial curve integral calculation on coordinates, the integral variables contained are integral variable x, integral variable y, and integral variable z. Therefore, in the format conversion standard aiming at the target calculation type, the value corresponding to the integral variable x can be respectively represented by a variable sign a and a variable sign b, the value corresponding to the integral variable y can be respectively represented by a variable sign c and a variable sign d, and the value corresponding to the integral variable z can be respectively represented by a variable sign p and a variable sign q.
In addition, if in practical application, the values corresponding to the integral variable x, the integral variable y and the integral variable z are associated with the time variable t, the values corresponding to the time variable t need to be represented by the variable coincidence α and the variable coincidence β.
It should be understood that the foregoing is illustrative only and is not limiting, and that in specific applications, those skilled in the art may set the invention as desired, and the invention is not limited thereto.
And S40, converting the integral data according to the format conversion standard to obtain a curve integral model conforming to a preset format.
Specifically, in practical applications, the format conversion criteria can be broadly divided into two categories, namely, a variable conversion rule and an integral variable data position arrangement rule.
Correspondingly, the operation of converting the integral data according to the format conversion standard to obtain the curve integral model conforming to the preset format can be realized by the following steps:
(1) And converting the integral data into a character string, and filtering illegal characters in the character string to obtain integral data to be processed.
Specifically, in practical application, in order to identify the content in the integral data as accurately as possible, integral data of curve integral of the coordinates written by different users can be collected from each big data platform in advance, and a corresponding relation table capable of identifying integral data provided by different users as far as possible is determined by analyzing and learning a large amount of existing integral data based on big data analysis technology and machine learning technology.
For example, if the current information extracted from the integral data is "xε [ a, b ]", the content may be converted into a character string of "x: a→b".
Also for example, if the current information extracted from the integral data is "y e [ c, d ]", the content may be converted into a character string of "y: c→d".
It should be understood that the foregoing is illustrative only and is not limiting, and that in specific applications, those skilled in the art may set the invention as desired, and the invention is not limited thereto.
In addition, regarding the above-described operation of filtering illegal characters in the character string, in practical application, for convenience of implementation, an illegal character table may be preset, and illegal characters may be recorded in the illegal character table. In this way, when illegal character filtering operation is performed on the integral data, the integral data is directly traversed, the traversed current character is compared with illegal characters in the illegal character table, and if the traversed current character is identical with the illegal characters, the traversed current character is deleted from the integral data.
(2) Extracting initial integral variable data from the integral data to be processed, and replacing variable values corresponding to the initial integral variable data with preset characters according to the variable conversion rule to obtain target integral variable data.
(3) And according to the integral variable data position arrangement rule, arranging the integral variable data of each target in sequence to obtain the curve integral model.
It should be understood that the above description is only a specific implementation manner of converting the integral data according to the format conversion standard to obtain the curve integral model conforming to the preset format, and the technical solution of the present invention is not limited in any way, and in specific applications, those skilled in the art can set the implementation manner according to the needs, which is not limited in the present invention.
And S50, determining an integral calculation formula corresponding to the curve integral of the coordinates according to the curve integral model.
Specifically, in order to facilitate the execution of the above operation, in practical application, all the integral calculation formulas corresponding to the curve integral calculation type of the coordinate and the curve integral model corresponding to the space curve integral calculation type of the coordinate may be edited in advance. And then, according to the determined curve integration model, searching an integration calculation formula corresponding to the curve integration of the coordinates.
For example, when the determined curve integral model is "f (xy) =f (x, y) dx, x=x (y), y: c→d", the integral calculation formula can be determined by query
And step S60, calculating an integration result corresponding to the curve integration of the coordinates according to the integration data and the integration calculation formula.
Specifically, to calculate the integration result corresponding to the curve integration of the coordinates, it is necessary to include a plurality of integration variables in the integration data input by the user.
Therefore, the operation of calculating the integration result corresponding to the curve integration of the coordinates can be specifically divided into the following two sub-steps:
firstly, extracting an integral variable and a value range corresponding to the integral variable from the integral data;
and then, calculating an integral result corresponding to curve integral of the pair of coordinates according to the integral variable, the value range corresponding to the integral variable and the integral calculation formula.
In order to facilitate understanding of the calculation method of curve integration of coordinates given in the present embodiment, the following description is given in connection with examples:
for example, the user provided integral data corresponding to the curve integral to the coordinates to be calculated includes the following information:
1)x∈[1,2]；2)y＝2*x-1；3)z＝3*x-2；4)f(xyz)＝xdx+ydy+(x+y-1)dz。
first, according to the judgment rule given in step S20, it may be determined that the target calculation type corresponding to the curve integral of coordinates to be calculated is the space curve integral calculation type of coordinates.
And then converting the integral data into a character string, and filtering illegal characters in the character string to obtain integral data to be processed.
Specifically, by processing, the above formula 1) converted integrated data to be processed is "x: a→b", the formula 2) converted integrated data to be processed is "y=2x—1", the formula 3) converted integrated data to be processed is "z=3x—2", and the formula 4) converted integrated data to be processed is "f (xyz) = xdx + ydy + (x+y—1) dz".
Accordingly, the format conversion criteria determined are: the value 1 of the integral variable x is represented by a variable symbol a, and the value 2 of the integral variable x is represented by a variable symbol b; the content after the equal signs of the integral variable y and the integral variable z is represented by a variable sign (x); the content of the three-dimensional curve integration symbol "f (xyz) =" is replaced with "f (x, y, z) dz+g (x, y, z) dx+h (x, y, z) dy". Meanwhile, the 4 pieces of integral variable data after replacement are arranged in the sequence of the integral variable data 3), the integral variable data 4), the integral variable data 1) and the integral variable data 2). That is, after the format conversion, the curve integral model of the preset format is obtained as follows:
f(xyz)＝f(x,y,z)dz+g(x,y,z)dx+h(x,y,z)dy,y＝y(x),z＝z(x),x:a→b。
accordingly, according to the curve integral model, the determined integral calculation formula is as follows:
Accordingly, the integration variables extracted from the integration data are specifically an integration variable x, an integration variable y, and an integration variable z.
Correspondingly, the value range corresponding to the integral variable x is 'x: a- & gt b', the value range corresponding to the integral variable y is 'y=2x-1', and the value range corresponding to the integral variable z is 'z=3x-2'.
Therefore, the integral result, specifically 13, corresponding to the curve integral of the pair of coordinates can be calculated by substituting the integral variable and the value range corresponding to the integral variable into the integral calculation formula.
It should be understood that the foregoing is only a specific implementation manner of calculating the integral result corresponding to the curve integral of the coordinate, and the technical solution of the present invention is not limited in any way, and in specific applications, those skilled in the art may set the integral result as needed, which is not limited in this aspect of the present invention.
As is clear from the above description, in the method for calculating the curve integral of coordinates provided in this embodiment, when calculating the integral result of the curve integral of coordinates, the user does not need to consider the calculation type corresponding to the curve integral of coordinates to be calculated, but directly triggers the calculation operation of the curve integral of coordinates, the terminal device obtains the integral data corresponding to the curve integral of coordinates to be calculated, the terminal device determines the target calculation type corresponding to the curve integral of coordinates to be calculated according to the obtained integral data, determines the format conversion standard corresponding to the integral data according to the determined target calculation type, then converts the integral data according to the format conversion standard, thereby obtaining the curve integral model conforming to the preset format, then determines the integral calculation formula corresponding to the curve integral of coordinates by using the obtained curve integral model, and finally can automatically calculate the integral result corresponding to the curve integral of coordinates according to the integral data and the determined integral calculation formula.
Because the whole calculation process is that the user only needs to provide the integral data corresponding to the curve integral of the coordinates to be calculated, and does not need to learn and master any calculation principle of the curve integral of the coordinates, the user operation is greatly simplified, and any user can quickly and accurately calculate the integral results of the curve integral of the coordinates of various types.
Referring to fig. 3, fig. 3 is a flowchart illustrating a second embodiment of a method for calculating curve integral of a coordinate according to the present invention.
Based on the above-mentioned first embodiment, the method for calculating the curve integral of the coordinate in the present embodiment further includes, after the step S40:
step S00, judging whether the curve integral model is available.
Correspondingly, through judgment, if the curve integral model is available, executing a step S50; otherwise, the operation of performing error prompt in step S70 is performed.
To facilitate understanding of the operation of determining whether the curve integration model is available in step S00, this example gives a specific determination method, which is approximately as follows:
firstly, determining a curve integral model library to be searched according to the target calculation type;
then traversing the curve integral model library, and comparing the traversed current preset curve integral model with the curve integral model;
Correspondingly, if the curve integral model is the same as the preset curve integral model, determining that the curve integral model is available; and if the curve integral model is different from the preset curve integral model, determining that the curve integral model in the standard format is unavailable and determining that the curve integral model is unavailable.
It should be understood that the foregoing is merely a specific implementation manner for determining whether the curve integration model is available, and the technical solution of the present invention is not limited in any way, and in a specific application, those skilled in the art may set the implementation manner as needed, and the present invention is not limited thereto.
In addition, it should be noted that, in order to ensure smooth performance of the above operations, before determining the curve integral model library to be searched according to the target calculation type, the curve integral model library needs to be constructed according to the target calculation type, and a corresponding relationship between the target calculation type and the curve integral model library is established.
Correspondingly, the operation of determining the curve integral model library to be searched according to the target calculation type is specifically as follows: and determining a curve integral model library corresponding to the target calculation type according to the corresponding relation between the target calculation type and the curve integral model library.
For example, when the target calculation type is a planar curve integral calculation type of the coordinate, the constructed curve integral library model may be a curve integral model table corresponding to the planar curve integral calculation type of the coordinate and all the curve integral models corresponding to the planar curve integral calculation type of the coordinate and conforming to a preset format.
Furthermore, in order to facilitate quick and accurate finding of the corresponding integral calculation formula according to the curve integral model, an integral calculation formula table recorded with the corresponding curve integral models conforming to the preset format can be constructed.
For easy understanding, the following gives a curve integral model and an integral calculation formula corresponding to a preset format, where the target calculation type is a plane curve integral calculation type for the coordinate and a space curve integral calculation type for the coordinate, respectively.
Table 1 curve integral model corresponding to plane curve integral calculation type of coordinates and conforming to preset format
| Sequence number | Curve integral model conforming to preset format |
| 1 | f(xy)＝f(x,y)dx,x＝x(y),y:c→d |
| 2 | f(xy)＝f(x,y)dy,x＝x(y),y:c→d |
| 3 | f(xy)＝f(x,y)dx+g(x,y)dy,x＝(y),y:c→d |
| 4 | f(xy)＝f(x,y)dy+g(x,y)dx,x＝(y),y:c→d |
| 5 | f(xy)＝f(x,y)dx,y＝y(x),x:a→b |
| 6 | f(xy)＝f(x,y)dy,y＝y(x),x:a→b |
| 7 | f(xy)＝f(x,y)dx+g(x,y)dy,y＝y(x),x:a→b |
| 8 | f(xy)＝f(x,y)dy+g(x,y)dx,y＝y(x),x:a→b |
| 9 | f(xy)＝f(x,y)dx,x＝x(t),y＝y(t),t:α→β |
| 10 | f(xy)＝f(x,y)dy,x＝x(t),y(t),t:α→β |
| 11 | f(xy)＝f(x,y)dx+g(x,y)dy,x＝x(t),y＝y(t),t:α→β |
| 12 | f(xy)＝f(x,y)dy+g(x,y)dx,x＝x(t),y＝y(t),t:α→β |
Table 2 integral calculation formula corresponding to the type of planar curve integral calculation of coordinates
Table 3 Curve integral model corresponding to the type of calculation of spatial Curve integral of coordinates and conforming to the preset format
| Sequence number | Curve integral model conforming to preset format |
| 1 | f(xyz)＝f(x,y,z)dx,x＝x(z),y＝y(z),z:p→q |
| 2 | f(xyz)＝f(x,y,z)dy,x＝x(z),y＝y(z),z:p→q |
| 3 | f(xyz)＝f(x,y,z)dz,x＝(y),y＝y(z),z:p→q |
| 4 | f(xyz)＝f(x,y,z)dx+g(x,y,z)dy,x＝(z),y＝y(z),z:p→q |
| 5 | f(xyz)＝f(x,y,z)dy+g(x,y,z)dx,x＝x(z),y＝y(z),z:p→q |
| 6 | f(xyz)＝f(x,y,z)dx+g(x,y,z)dz,x＝x(z),y＝y(z),z:p→q |
| 7 | f(xyz)＝f(x,y,z)dz+g(x,y,z)dx,x＝x(z),y＝y(z),z:p→q |
| 8 | f(xyz)＝f(x,y,z)dy+g(x,y,z)dz,x＝x(z),y＝y(z),z:p→q |
| 9 | f(xyz)＝f(x,y,z)dz+g(x,y,z)dy,x＝x(z),y＝y(z),z:p→q |
| 10 | f(xyz)＝f(x,y,z)dx+g(x,y,z)dy,h(x,y,z)dz,x＝(z),y＝y(z),z:p→q |
| 11 | f(xyz)＝f(x,y,z)dy+g(x,y,z)dx,h(x,y,z)dz,x＝(z),y＝y(z),z:p→q |
| 12 | f(xyz)＝f(x,y,z)dx+g(x,y,z)dz,h(x,y,z)dy,x＝(z),y＝y(z),z:p→q |
Table 4 integral calculation formula corresponding to the type of spatial curve integral calculation of coordinates
It should be noted that, in the above table 3, only 12 curve integration models corresponding to the space curve integration calculation types of the coordinates and conforming to the preset format are given, in practical application, by changing the position of the integration variable and introducing the time variable t, 48 curve integration models corresponding to the space curve integration calculation types of the coordinates can be further deformed, which are not listed here, and in specific implementation, a person skilled in the art can set the curve integration models according to needs.
Accordingly, the integral calculation formulas recorded in table 4 corresponding to table 3 may be modified by 48 kinds, which are not listed here, and in a specific implementation, may be set by those skilled in the art as required.
In addition, it should be understood that the above description is only a specific implementation manner of determining the curve integral model library to be searched according to the target calculation type, and the technical solution of the present invention is not limited in any way, and in specific applications, those skilled in the art may set the method according to needs, and the present invention is not limited in this regard.
As is apparent from the above description, in the curve integration calculation method for coordinates provided in this embodiment, before the step of determining the integral calculation formula corresponding to the curve integration for coordinates according to the curve integration model is performed, by comparing the determined curve integration model with a preset curve integration model in a curve integration model library determined according to a target calculation type, when it is determined that there is the same preset curve integration model as the curve integration model in the curve integration model library, an operation of determining the integral calculation formula corresponding to the curve integration for coordinates according to the curve integration model is performed, otherwise, an error prompt is directly performed. By the method, the calculation of the integral result of the curve integral of the coordinates is realized, and meanwhile, the calculation scheme of the curve integral of the coordinates has completeness and fault tolerance, so that the user experience is greatly improved.
In addition, the embodiment of the invention also provides a computer readable storage medium, wherein the computer readable storage medium stores a curve integral calculation program for coordinates, and the curve integral calculation program for coordinates realizes the steps of the curve integral calculation method for coordinates when being executed by a processor.
Referring to fig. 4, fig. 4 is a block diagram of a first embodiment of a coordinate curve integrating device according to the present invention.
As shown in fig. 4, the apparatus for calculating curve integral of coordinates according to the embodiment of the present invention includes: the acquisition module 4001, the first determination module 4002, the second determination module 4003, the conversion module 4004, the third determination module 4005, and the calculation module 4006.
The acquiring module 4001 is configured to acquire integral data corresponding to curve integral of coordinates to be calculated; the first determining module 4002 is configured to determine, according to the integral data, a target calculation type corresponding to the curve integral of the coordinates; the second determining module 4003 is configured to determine, according to the target calculation type, a format conversion standard corresponding to the integral data; the conversion module 4004 is configured to convert the integral data according to the format conversion standard to obtain a curve integral model that accords with a preset format; the third determining module 4005 is configured to determine an integral calculation formula corresponding to the curve integral of the coordinates according to the curve integral model; the calculating module 4006 is configured to calculate an integration result corresponding to the curve integration of the coordinates according to the integration data and the integration calculation formula.
In addition, it should be noted that, in practical applications, regarding the operation of determining, by the first determining module 4002, the target calculation type corresponding to the curve integration of the coordinates according to the integration data, the operation may be specifically determined according to the type of the integration symbol, that is, the type of the integration symbol in the integration data needs to be determined.
Correspondingly, if the type of the integral symbol is a two-dimensional curve integral symbol, such as f (xy), determining that the target calculation type corresponding to the curve integral of the coordinates is a plane curve integral calculation type of the coordinates; if the type of the integral symbol is a three-dimensional curve integral symbol, such as f (xyz), determining that the target calculation type corresponding to the curve integral of the coordinates is a space curve integral calculation type of the coordinates.
It should be understood that the foregoing is only a specific implementation manner of determining the target calculation type corresponding to the curve integral of the coordinates according to the integral data, and the technical solution of the present invention is not limited in any way, and in specific applications, those skilled in the art may set the implementation manner as required, which is not limited in this aspect of the present invention.
In addition, in practical applications, the format conversion standard according to which the conversion module 4004 is based can be broadly divided into two categories, namely, a variable conversion rule and an integral variable data position arrangement rule.
Accordingly, the operation of the conversion module 4004 to determine the target calculation type corresponding to the curve integration of the coordinates according to the integration data may be implemented by the following steps:
firstly, converting the integral data into character strings, and filtering illegal characters in the character strings to obtain integral data to be processed;
then extracting initial integral variable data from the integral data to be processed, and replacing variable values corresponding to the initial integral variable data with preset characters according to the variable conversion rule to obtain target integral variable data;
and finally, according to the integral variable data position arrangement rule, arranging the integral variable data of each target in sequence to obtain the curve integral model.
It should be understood that the foregoing is only a specific implementation manner of determining the target calculation type corresponding to the curve integral of the coordinates according to the integral data, and the technical solution of the present invention is not limited in any way, and in specific applications, those skilled in the art may set the implementation manner as required, which is not limited in this aspect of the present invention.
In addition, in practical applications, the operation of the calculation module 4006 to calculate the integral result corresponding to the curve integral of the coordinates according to the integral data and the integral calculation formula may be implemented by approximately the following steps:
Firstly, extracting an integral variable and a value range corresponding to the integral variable from the integral data;
and then, calculating an integral result corresponding to curve integral of the pair of coordinates according to the integral variable, the value range corresponding to the integral variable and the integral calculation formula.
It should be understood that the foregoing is only a specific implementation manner of calculating the integral result corresponding to the curve integral of the coordinates according to the integral data and the integral calculation formula, and the technical solution of the present invention is not limited in any way, and in specific applications, those skilled in the art may set the integral result as required, which is not limited in this aspect of the present invention.
As is clear from the above description, in the calculation device for curve integration of coordinates provided in this embodiment, when calculating an integration result of curve integration of coordinates, a user does not need to consider a calculation type corresponding to curve integration of coordinates to be calculated, but directly triggers a calculation operation of curve integration of coordinates, integral data corresponding to curve integration of coordinates to be calculated is obtained by a terminal device, then a target calculation type corresponding to curve integration of coordinates to be calculated is determined by the terminal device according to the obtained integral data, a format conversion standard corresponding to the integral data is determined according to the obtained integral data, then the integral data is converted according to the format conversion standard, and then a curve integration model conforming to a preset format is obtained, then an integral calculation formula corresponding to curve integration of coordinates is determined by using the obtained curve integration model, and finally an integral result corresponding to curve integration of coordinates can be automatically calculated according to the integral data and the determined integral calculation formula.
Because the whole calculation process is that the user only needs to provide the integral data corresponding to the curve integral of the coordinates to be calculated, and does not need to learn and master any calculation principle of the curve integral of the coordinates, the user operation is greatly simplified, and any user can quickly and accurately calculate the integral results of the curve integral of the coordinates of various types.
It should be noted that the above-described working procedure is merely illustrative, and does not limit the scope of the present invention, and in practical application, a person skilled in the art may select part or all of them according to actual needs to achieve the purpose of the embodiment, which is not limited herein.
In addition, technical details not described in detail in the present embodiment can be referred to the curve integral calculation method for the coordinate provided in any embodiment of the present invention, which is not described herein.
Based on the first embodiment of the above-described curve integration calculation device for coordinates, a second embodiment of the curve integration calculation device for coordinates of the present invention is proposed.
In this embodiment, the curve integral calculation device for coordinates further includes: the device comprises a judging module and a prompting module.
The judging module is configured to judge whether the curve integration model is available before the third determining module determines, according to the curve integration model, an integration calculation formula corresponding to the curve integration of the coordinates.
Correspondingly, through judgment, if the curve integration model is available, notifying the third determination module to execute the operation of determining an integration calculation formula corresponding to the curve integration of the coordinates according to the curve integration model; otherwise, notifying the prompt module to carry out error prompt.
In addition, to facilitate understanding the operation of the judging module to judge whether the curve integration model is available, a specific judging manner is given in this example, which is approximately as follows:
firstly, determining a curve integral model library to be searched according to the target calculation type;
then traversing the curve integral model library, and comparing the traversed current preset curve integral model with the curve integral model;
correspondingly, if the curve integral model is the same as the preset curve integral model, determining that the curve integral model is available; and if the curve integral model is different from the preset curve integral model, determining that the curve integral model is not available.
It should be understood that the foregoing is merely a specific implementation manner for determining whether the curve integration model is available, and the technical solution of the present invention is not limited in any way, and in a specific application, those skilled in the art may set the implementation manner as needed, and the present invention is not limited thereto.
In addition, it should be noted that, in order to ensure smooth performance of the above operations, before determining the curve integral model library to be searched according to the target calculation type, the curve integral model library needs to be constructed according to the target calculation type, and a corresponding relationship between the target calculation type and the curve integral model library is established.
Correspondingly, the operation of determining the curve integral model library to be searched according to the target calculation type is specifically as follows: and determining a curve integral model library corresponding to the target calculation type according to the corresponding relation between the target calculation type and the curve integral model library.
It should be understood that the above is only a specific implementation manner of determining the curve integral model library to be searched according to the target calculation type, and the technical solution of the present invention is not limited in any way, and in specific applications, those skilled in the art may set the method according to the need, and the present invention is not limited in this regard.
As is apparent from the above description, the curve integration calculation device for coordinates provided in this embodiment, before executing the step of determining the integral calculation formula corresponding to the curve integration for coordinates according to the curve integration model, performs the operation of determining the integral calculation formula corresponding to the curve integration for coordinates according to the curve integration model when it is determined that there is the same preset curve integration model as the curve integration model in the curve integration model library by comparing the determined curve integration model with the preset curve integration model in the curve integration model library determined according to the target calculation type, otherwise directly performing the error prompt. By the method, the calculation of the integral result of the curve integral of the coordinates is realized, and meanwhile, the calculation scheme of the curve integral of the coordinates has completeness and fault tolerance, so that the user experience is greatly improved.
It should be noted that the above-described working procedure is merely illustrative, and does not limit the scope of the present invention, and in practical application, a person skilled in the art may select part or all of them according to actual needs to achieve the purpose of the embodiment, which is not limited herein.
In addition, technical details not described in detail in the present embodiment can be referred to the curve integral calculation method for the coordinate provided in any embodiment of the present invention, which is not described herein.
Furthermore, it should be noted that, in this document, the terms "comprises," "comprising," or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or system that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or system. Without further limitation, an element defined by the phrase "comprising one … …" does not exclude the presence of other like elements in a process, method, article, or system that comprises the element.
The foregoing embodiment numbers of the present invention are merely for the purpose of description, and do not represent the advantages or disadvantages of the embodiments.
From the above description of the embodiments, it will be clear to those skilled in the art that the above-described embodiment method may be implemented by means of software plus a necessary general hardware platform, but of course may also be implemented by means of hardware, but in many cases the former is a preferred embodiment. Based on such understanding, the technical solution of the present invention may be embodied essentially or in a part contributing to the prior art in the form of a software product stored in a storage medium (e.g. Read Only Memory)/RAM, magnetic disk, optical disk) and including several instructions for causing a terminal device (which may be a mobile phone, a computer, a server, or a network device, etc.) to perform the method according to the embodiments of the present invention.
The foregoing description is only of the preferred embodiments of the present invention, and is not intended to limit the scope of the invention, but rather is intended to cover any equivalents of the structures or equivalent processes disclosed herein or in the alternative, which may be employed directly or indirectly in other related arts.
Claims (5)
1. A method of calculating a curve integral for a coordinate, the method comprising:
Acquiring integral data corresponding to curve integral of coordinates to be calculated, wherein the integral data comprises integral equation data corresponding to curve integral of the coordinates to be calculated;
determining a target calculation type corresponding to curve integration of the pair of coordinates according to the integration data;
determining a format conversion standard corresponding to the integral data according to the target calculation type;
converting the integral data according to the format conversion standard to obtain a curve integral model conforming to a preset format, wherein the format conversion standard comprises the following steps: a variable conversion rule and an integral variable data position arrangement rule;
determining an integral calculation formula corresponding to the curve integral of the pair of coordinates according to the curve integral model;
calculating an integration result corresponding to the curve integration of the pair of coordinates according to the integration data and the integration calculation formula;
the step of determining the target calculation type corresponding to the curve integration of the coordinates according to the integration data comprises the following steps:
determining the type of an integral symbol in the integral data;
if the type of the integral symbol is a two-dimensional curve integral symbol, determining that the target calculation type corresponding to the curve integral of the coordinates is a plane curve integral calculation type of the coordinates;
If the type of the integral symbol is a three-dimensional curve integral symbol, determining that the target calculation type corresponding to the curve integral of the coordinates is a space curve integral calculation type of the coordinates;
the step of converting the integral data according to the format conversion standard to obtain a curve integral model conforming to a preset format comprises the following steps:
converting the integral data into character strings, and filtering illegal characters in the character strings to obtain integral data to be processed;
extracting initial integral variable data from the integral data to be processed, and replacing variable values corresponding to the initial integral variable data with preset characters according to the variable conversion rule to obtain target integral variable data;
according to the integral variable data position arrangement rule, arranging all target integral variable data in sequence to obtain the curve integral model;
the step of calculating the integration result corresponding to the curve integration of the coordinates according to the integration data and the integration calculation formula comprises the following steps:
extracting an integral variable and a value range corresponding to the integral variable from the integral data;
calculating an integral result corresponding to the curve integral of the pair of coordinates according to the integral variable, the value range corresponding to the integral variable and the integral calculation formula;
Before the step of determining the integral calculation formula corresponding to the curve integral of the coordinates according to the curve integral model, the method further comprises the following steps:
determining a curve integral model library to be searched according to the target calculation type, wherein the curve integral model library is a curve integral model table which records all the plane curve integral calculation types of the coordinates and corresponds to a preset format;
traversing the curve integral model library, and comparing the traversed current preset curve integral model with the curve integral model;
if the curve integral model is the same as the preset curve integral model, determining that the curve integral model is available;
otherwise, determining that the curve integration model is not available;
if the curve integration model is available, executing the operation of determining an integration calculation formula corresponding to the curve integration of the coordinates according to the curve integration model;
and if the curve integral model is not available, performing error prompt.
2. The method of claim 1, wherein prior to the step of determining a library of curve integration models to be looked up based on the target calculation type, the method further comprises:
Constructing the curve integral model library according to the target calculation type, and establishing a corresponding relation between the target calculation type and the curve integral model library;
the step of determining a curve integral model library to be searched according to the target calculation type comprises the following steps:
and determining a curve integral model library corresponding to the target calculation type according to the corresponding relation between the target calculation type and the curve integral model library.
3. A curve integral calculation device for a coordinate, the device comprising:
the system comprises an acquisition module, a calculation module and a calculation module, wherein the acquisition module is used for acquiring integral data corresponding to curve integral of coordinates to be calculated, and the integral data comprises integral equation data corresponding to the curve integral of the coordinates to be calculated;
the first determining module is used for determining a target calculation type corresponding to the curve integration of the pair of coordinates according to the integration data;
the second determining module is used for determining a format conversion standard corresponding to the integral data according to the target calculation type;
the conversion module is used for converting the integral data according to the format conversion standard to obtain a curve integral model conforming to a preset format, and the format conversion standard comprises the following steps: a variable conversion rule and an integral variable data position arrangement rule;
The third determining module is used for determining an integral calculation formula corresponding to the curve integral of the pair of coordinates according to the curve integral model;
the calculation module is used for calculating an integration result corresponding to the curve integration of the coordinates according to the integration data and the integration calculation formula;
the first determining module is further configured to determine a type of an integral symbol in the integral data;
if the type of the integral symbol is a two-dimensional curve integral symbol, determining that the target calculation type corresponding to the curve integral of the coordinates is a plane curve integral calculation type of the coordinates;
if the type of the integral symbol is a three-dimensional curve integral symbol, determining that the target calculation type corresponding to the curve integral of the coordinates is a space curve integral calculation type of the coordinates;
the conversion module is further used for converting the integral data into character strings and filtering illegal characters in the character strings to obtain integral data to be processed;
extracting initial integral variable data from the integral data to be processed, and replacing variable values corresponding to the initial integral variable data with preset characters according to the variable conversion rule to obtain target integral variable data;
According to the integral variable data position arrangement rule, arranging all target integral variable data in sequence to obtain the curve integral model;
the calculation module is also used for extracting an integral variable and a value range corresponding to the integral variable from the integral data;
calculating an integral result corresponding to the curve integral of the pair of coordinates according to the integral variable, the value range corresponding to the integral variable and the integral calculation formula;
the third determining module is further configured to determine a curve integration model library to be searched according to the target calculation type, where the curve integration model library is a curve integration model table corresponding to a plane curve integration calculation type of a record pair coordinate and conforming to a preset format;
traversing the curve integral model library, and comparing the traversed current preset curve integral model with the curve integral model;
if the curve integral model is the same as the preset curve integral model, determining that the curve integral model is available;
otherwise, determining that the curve integration model is not available;
if the curve integration model is available, executing the operation of determining an integration calculation formula corresponding to the curve integration of the coordinates according to the curve integration model;
And if the curve integral model is not available, performing error prompt.
4. A curve-integrating computing device for a coordinate, the device comprising: a memory, a processor and a curve integration calculation program for coordinates stored on the memory and executable on the processor, the curve integration calculation program for coordinates being configured to implement the steps of the curve integration calculation method for coordinates as claimed in any one of claims 1 to 2.
5. A computer readable storage medium, characterized in that it has stored thereon a curve integral calculation program for coordinates, which when executed by a processor, implements the steps of the curve integral calculation method for coordinates according to any of claims 1 to 2.
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Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPS6239701A (en) * | 1985-08-14 | 1987-02-20 | Tech Res & Dev Inst Of Japan Def Agency | Surface integrator |
| CN102457281A (en) * | 2010-11-03 | 2012-05-16 | 华润矽威科技（上海）有限公司 | Hyperbola integral analog-digital converting circuit |
| CN105550514A (en) * | 2015-12-14 | 2016-05-04 | 中国科学院地质与地球物理研究所 | Dual-path integration based speed model establishment method and system |
| CN107741949A (en) * | 2017-08-31 | 2018-02-27 | 北京卡路里信息技术有限公司 | Integration method, device, storage medium and processor |
| CN108733621A (en) * | 2018-05-14 | 2018-11-02 | 安徽理工大学 | The inversion method of probability integral Model Parameter based on BFGS algorithms |
-
2019
- 2019-05-14 CN CN201910401638.9A patent/CN110110280B/en active Active
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPS6239701A (en) * | 1985-08-14 | 1987-02-20 | Tech Res & Dev Inst Of Japan Def Agency | Surface integrator |
| CN102457281A (en) * | 2010-11-03 | 2012-05-16 | 华润矽威科技（上海）有限公司 | Hyperbola integral analog-digital converting circuit |
| CN105550514A (en) * | 2015-12-14 | 2016-05-04 | 中国科学院地质与地球物理研究所 | Dual-path integration based speed model establishment method and system |
| CN107741949A (en) * | 2017-08-31 | 2018-02-27 | 北京卡路里信息技术有限公司 | Integration method, device, storage medium and processor |
| CN108733621A (en) * | 2018-05-14 | 2018-11-02 | 安徽理工大学 | The inversion method of probability integral Model Parameter based on BFGS algorithms |
Non-Patent Citations (2)
| Title |
|---|
| 关于坐标的曲线、曲面积分向量教学方法;刘雄伟;衡阳师范学院学报;第148-149页 * |
| 曲线积分模型在道路坐标计算中的应用;李文科等;北京测绘;第59-62页 * |
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