Ground weak reinforcement engineering quantity evaluation method, electronic equipment and storage medium

By automating the processing of ground weak reinforcement data through AutoCAD secondary development programs, the problem of low efficiency in calculating the engineering quantity of ground weak reinforcement projects for rail transit has been solved, and efficient and accurate engineering quantity calculation and design have been achieved.

CN122020798APending Publication Date: 2026-05-12FOSHAN RAIL TRANSIT DESIGN & RES INST CO LTD
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Patent Information

Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
FOSHAN RAIL TRANSIT DESIGN & RES INST CO LTD
Filing Date
2026-02-06
Publication Date
2026-05-12

AI Technical Summary

Technical Problem

The calculation and design of ground reinforcement works for rail transit involve a large number of manual steps, resulting in low design efficiency and waste of resources, and making it impossible to achieve efficient and accurate calculation of engineering quantities.

Method used

Using a program based on AutoCAD secondary development, the system automatically reads ground line data, tunnel data, and line design scheme data to achieve digital management of design parameters for weak ground reinforcement of rail transit, automatically draws and marks the design scope, automatically arranges weak reinforcement piles, and calculates the engineering quantity.

Benefits of technology

It has enabled automated calculation of the amount of ground reinforcement work for rail transit, improving design efficiency and accuracy, reducing repetitive manual operations, and increasing productivity.

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Abstract

The invention relates to the related technical field of rail transit ground reinforcement, and discloses a ground weak reinforcement engineering quantity evaluation method, electronic equipment and a storage medium, the ground weak reinforcement engineering quantity evaluation method specifically comprises the following steps: reading ground reinforcement vertical section design scheme data and ground reinforcement plane width data; setting a rail transit ground weak reinforcement design and engineering quantity calculation range; marking and drawing a rail transit ground weak reinforcement design range outline; the distance between weak reinforcing piles on the rail transit ground is set, and the number of the weak reinforcing piles is determined; rail transit ground weak reinforcement piles are arranged row by row, and the length of each weak reinforcement pile is calculated and stored; and calculating the total length of all the weak reinforcement piles. And further determining the weak reinforcement engineering quantity of the rail transit ground. According to the method, the ground line data, the tunnel data, the reinforcement data and the line design scheme data are automatically obtained, digital management and storage of rail transit ground weak reinforcement design parameters are achieved, and high innovativeness is achieved.
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Description

Technical Field

[0001] This invention relates to the technical field of ground reinforcement for rail transit, specifically to a method for assessing the amount of weak ground reinforcement work in rail transit, electronic equipment, and storage medium. Background Technology

[0002] Currently, when designers in the rail transit industry calculate and design the amount of weak ground reinforcement work for rail transit, they first need to organize the ground line data, tunnel data, horizontal and vertical section reinforcement data, and line design scheme data. They then manually draw the weak ground reinforcement range and markings for each section of rail transit, manually read the area of ​​the weak reinforcement range and the corresponding line length, calculate the number and length of weak reinforcement piles based on the spacing, and finally manually calculate and determine the amount of weak ground reinforcement work for rail transit.

[0003] The above work requires the processing of a large amount of route and tunnel data, measurement of mileage, length and area, creation and editing of polylines, text and fill objects, involving a large number of manual operation steps, numerous design operation steps, and long time consumption. Designers have to do a lot of repetitive work, which wastes productivity and makes the design and engineering quantity calculation of weak reinforcement inefficient. Summary of the Invention

[0004] To address the shortcomings of existing technologies, the present invention aims to provide a method, electronic device, and storage medium for assessing the quantity of ground weak reinforcement projects. This method can automatically count the number and length of weak reinforcement piles and automatically calculate the quantity of weak reinforcement projects. Compared with traditional manual calculation methods, it significantly improves calculation efficiency and accuracy, demonstrating high innovation.

[0005] To achieve the above objectives, the present invention adopts the following technical solution: A method for assessing the quantity of ground weak reinforcement work, the specific steps of which are as follows: Read the longitudinal section design data and the plan design data of ground reinforcement from the longitudinal section design document and the plan design document of the rail transit ground reinforcement respectively; The scope of design and engineering quantity calculation for weak ground reinforcement of rail transit is determined based on the starting and ending mileages of the line in the longitudinal section design data and the plan design data of ground reinforcement. Based on the design and engineering quantity calculation scope of the weak reinforcement of the rail transit ground, mark and draw the outline of the weak reinforcement design of the rail transit ground. Within the scope of the design and engineering quantity calculation for the weak reinforcement of the rail transit ground, the spacing of the weak reinforcement piles for the rail transit ground shall be set, and the number of weak reinforcement piles shall be determined. Arrange weak reinforcement piles on the ground of the rail transit system row by row, and calculate and store the length of each weak reinforcement pile. Calculate the total length of all weak reinforcement piles within the scope of the design and engineering quantity calculation for the weak reinforcement of the rail transit ground, and then determine the engineering quantity of the weak reinforcement of the rail transit ground.

[0006] Furthermore, the longitudinal profile design data for ground reinforcement includes at least ground line data, tunnel outer diameter data, upper offset value of the tunnel reinforcement range, and route design data; the planar design data for ground reinforcement includes at least the width of the vertical projection of the ground reinforcement on the ground along the direction perpendicular to the centerline of the route on the horizontal plane.

[0007] Furthermore, the ground line data includes at least ground points and their corresponding histories and elevations.

[0008] Furthermore, the scope of the design and engineering quantity calculation for the ground weak reinforcement of the rail transit is determined by setting the starting mileage and ending mileage of the line.

[0009] Furthermore, the design outline for the weak reinforcement of the rail transit ground is a multi-segment design. The top outline of the design outline is the ground line within the scope of the design and engineering quantity calculation for the weak reinforcement of the rail transit ground; the bottom outline of the design outline is the upper boundary line of the strong reinforcement range within the scope of the design and engineering quantity calculation for the weak reinforcement of the rail transit ground.

[0010] Furthermore, the upper boundary line of the reinforced area is obtained based on the offset of the line centerline, and the offset amount is determined according to the tunnel outer diameter data and the upper offset value of the tunnel reinforced area.

[0011] Furthermore, the starting points on both sides of the design outline for the weak reinforcement of the rail transit ground are determined based on the starting mileage of the design and engineering quantity calculation range for the weak reinforcement of the rail transit ground; the ending points on both sides of the design outline for the weak reinforcement of the rail transit ground are determined based on the ending mileage of the design and engineering quantity calculation range for the weak reinforcement of the rail transit ground.

[0012] Furthermore, the marking of the design scope of weak reinforcement of the rail transit ground consists of marking leaders and text, including distance markings and start and end point markings.

[0013] Furthermore, the step of setting the spacing of the weak reinforcement piles for the rail transit ground within the scope of the design and engineering quantity calculation, and determining the number of weak reinforcement piles, specifically includes: The spacing of the ground weak reinforcement piles for rail transit includes longitudinal spacing and transverse spacing; The number of weak reinforcement piles includes the number of transverse rows of weak reinforcement piles within the scope of the design and engineering quantity calculation of the weak reinforcement of the rail transit ground and the number of weak reinforcement piles in each transverse row. The number of horizontal rows of the weakly reinforced piles Calculate using the following formula:

[0014] in, , These refer to the line length and the longitudinal spacing of the ground weak reinforcement piles within the scope of the design and engineering quantity calculation for rail transit ground weak reinforcement. The rounding up symbol; The number of weak reinforcement piles in each row in the transverse direction Calculate using the following formula:

[0015] in, , These refer to the plane width of the ground reinforcement and the lateral spacing of the weak ground reinforcement piles for rail transit, respectively. This is the floor symbol.

[0016] Furthermore, the line length within the scope of the design and engineering quantity calculation for the weak reinforcement of the rail transit ground is determined based on the starting and ending mileages of the design and engineering quantity calculation scope for the weak reinforcement of the rail transit ground and the line design scheme data.

[0017] Furthermore, the number of piles per row in the transverse direction within the scope of the design and quantity calculation for the weak reinforcement of the rail transit ground is... Calculate using the following formula:

[0018] in, , These refer to the width of the ground reinforcement plane and the lateral spacing of the weak ground reinforcement piles for rail transit, respectively. This is the floor symbol.

[0019] Furthermore, the ground weak reinforcement piles of the rail transit are arranged in rows according to the longitudinal spacing within the scope of the design and engineering quantity calculation of the ground weak reinforcement of the rail transit.

[0020] Furthermore, based on the line mileage of each row of weak ground reinforcement piles for rail transit, the elevation data corresponding to the mileage is obtained from the ground line data and the upper boundary line of the strong reinforcement range, and the elevation difference is calculated to obtain the length of each row of weak ground reinforcement piles for rail transit.

[0021] Furthermore, the calculation involves the total length of all weakly reinforced piles within the scope of the design and quantity calculation for the weak reinforcement of the rail transit ground. This, in turn, determines the quantity of weak reinforcement work for the rail transit ground, specifically as follows: The quantity of weak ground reinforcement engineering for rail transit is the total length of all weak reinforcement piles within the scope of the design and engineering quantity calculation for weak ground reinforcement of rail transit. The quantity of ground reinforcement works for rail transit Calculate using the following formula:

[0022] in, , These refer to the number of rows of weak reinforcement piles within the scope of the design and engineering quantity calculation for weak reinforcement of the rail transit ground as described in step S6, and the number of piles in each row in the transverse direction within the scope of the design and engineering quantity calculation for weak reinforcement of the rail transit ground. For the first The length of the ground reinforcement piles for rail transit.

[0023] An electronic device, comprising: processor; Memory; And a computer program, wherein the computer program is stored in the memory, the computer program including instructions that, when executed by the processor, enable the electronic device to perform any one of the methods described in the self-assessment method for ground weak reinforcement engineering quantities.

[0024] A computer-readable storage medium comprising a stored program, wherein, when the program is executed, the device on which the computer-readable storage medium is located performs any one of the methods for self-assessment of ground weak reinforcement engineering quantities.

[0025] The beneficial effects of this invention are as follows: This invention realizes the automated calculation and design of the amount of ground reinforcement engineering for rail transit, greatly improving work efficiency. Compared with the prior art, it has the following innovative points: Firstly, this invention can automatically acquire ground line data, tunnel data, reinforcement data, and route design scheme data based on AutoCAD secondary development programs, realizing the digital management and storage of design parameters for weak ground reinforcement in rail transit. Compared with traditional manual data verification and organization methods, this invention has a high level of digitalization and intelligence, and possesses significant innovation.

[0026] Secondly, this invention can automatically draw and mark the design scope and annotation of weak ground reinforcement for rail transit based on basic data, realize the automated design of weak ground reinforcement scope for rail transit, avoid a large number of repetitive editing operations in the CAD model space, and greatly improve design efficiency.

[0027] Third, this invention enables the automated placement of ground-based weak reinforcement piles in rail transit, automatically counts the number and length of weak reinforcement piles, and automatically calculates the amount of weak reinforcement work. Compared with traditional manual calculation methods, this invention significantly improves calculation efficiency and accuracy. Attached Figure Description

[0028] Appendix Figure 1This is a flowchart of an automated technology and design method for weak ground reinforcement engineering in rail transit, as described in this invention. Appendix Figure 2 A schematic diagram of the structure of an electronic device provided by the present invention; Reference numerals: 1000, electronic device; 1001, processor; 1002, memory; 1003, communication unit. Detailed Implementation

[0029] The present invention will now be further described with reference to the accompanying drawings and specific embodiments: Example 1 like Figure 1 As shown in the embodiment of this application, a method for evaluating the amount of ground weak reinforcement work is proposed, and the specific steps are as follows: Step 1: Read the longitudinal section design data and the plane width data of the ground reinforcement from the longitudinal section design plan file and the plane reinforcement design plan file of the rail transit ground reinforcement, respectively. The longitudinal section design scheme files for ground reinforcement of rail transit are in dwg, dws, dwt, and dxf formats. The ground reinforcement longitudinal section design scheme data can be read based on the AutoCAD secondary development program. The ground reinforcement longitudinal section design scheme data includes ground line data, tunnel outer diameter data, upper offset value of the tunnel reinforcement range, and line design scheme data. The ground line data includes ground points and corresponding mileage and elevation.

[0030] The ground reinforcement plan design files for rail transit are in dwg, dws, dwt, and dxf formats. The ground reinforcement plan width data can be read based on the AutoCAD secondary development program. The ground reinforcement plan width is the width of the ground reinforcement vertical projection on the ground along the horizontal plane perpendicular to the center line of the track.

[0031] Step 2: Determine the scope of design and engineering quantity calculation for weak ground reinforcement of rail transit by setting the starting and ending mileage of the line; Step 3: Based on the design and engineering quantity calculation scope of the weak reinforcement of the rail transit ground, mark and draw the outline of the design scope of the weak reinforcement of the rail transit ground. In this embodiment, the design scope of the weak reinforcement of the rail transit ground is represented by drawing the scope outline and the scope filling. The design scope outline of the weak reinforcement of the rail transit ground is a polyline, of which the top outline is the ground line within the scope of the design and engineering quantity calculation of the weak reinforcement of the rail transit ground, which is obtained based on the ground line data.

[0032] The bottom outline of the weak reinforcement design range of the rail transit ground is the upper boundary line of the strong reinforcement range within the weak reinforcement design and engineering quantity calculation range of the rail transit ground. The upper boundary line of the strong reinforcement range is obtained based on the offset of the line centerline, and the offset amount is determined based on the tunnel outer diameter data and the upper offset value of the tunnel strong reinforcement range.

[0033] The starting and ending points on both sides of the outline of the design scope for weak reinforcement of the rail transit ground are determined according to the starting and ending mileages of the design and engineering quantity calculation scope for weak reinforcement of the rail transit ground. The design scope marking for weak reinforcement of the rail transit ground consists of marking leaders and text, including distance markings and starting and ending point markings. The text content of the starting and ending point markings is the starting and ending mileages of the design and engineering quantity calculation scope for weak reinforcement of the rail transit ground.

[0034] Step 4: Within the scope of the design and engineering quantity calculation for weak reinforcement of the rail transit ground, set the spacing of weak reinforcement piles for the rail transit ground and determine the number of weak reinforcement piles; The spacing of weakly reinforced piles on the ground surface of rail transit includes longitudinal and transverse spacing. The number of weakly reinforced piles includes the number of rows of weakly reinforced piles within the scope of the design and engineering quantity calculation for weakly reinforced ground surface of rail transit, as well as the number of weakly reinforced piles in each transverse row. Calculate using the following formula:

[0035] In the above formula, , These refer to the length of the railway line within the scope of design and engineering quantity calculation for weak ground reinforcement of rail transit, and the longitudinal spacing of weak ground reinforcement piles for rail transit. The rounding up symbol; The length of the line within the scope of the design and engineering quantity calculation for weak ground reinforcement of rail transit is determined based on the starting and ending mileages of the scope of the design and engineering quantity calculation for weak ground reinforcement of rail transit and the data of the line design scheme.

[0036] Number of weak reinforcement piles in each row in the transverse direction Calculate using the following formula:

[0037] In the above formula, , These refer to the ground reinforcement plane width mentioned in step S3 and the lateral spacing of the weak ground reinforcement piles for rail transit. This is the floor symbol.

[0038] Step 5: Arrange the weak reinforcement piles on the ground of the rail transit line row by row, calculate and store the length of each weak reinforcement pile; The ground reinforcement piles for rail transit are arranged in rows according to the longitudinal spacing within the design and engineering quantity calculation range of the ground reinforcement for rail transit; the line mileage of each row of ground reinforcement piles for rail transit is automatically obtained and stored based on the line design data.

[0039] Based on the line mileage of each row of weak ground reinforcement piles for rail transit, the corresponding elevation data of the mileage is obtained from the ground line data and the upper boundary line of the strong reinforcement range. The elevation difference is then calculated to obtain the length of each row of weak ground reinforcement piles for rail transit.

[0040] Step Six: Calculate the total length of all weakly reinforced piles, and then determine the amount of weak ground reinforcement work for rail transit. The quantity of weak ground reinforcement works for rail transit is the total length of all weak reinforcement piles within the scope of the design and quantity calculation of weak ground reinforcement works for rail transit. Rail transit ground weak reinforcement engineering quantity Calculate using the following formula:

[0041] In the above formula, , These refer to the number of rows of weak reinforcement piles within the scope of the design and quantity calculation for weak reinforcement of the rail transit ground as described in step S6, and the number of piles in each transverse row within the scope of the design and quantity calculation for weak reinforcement of the rail transit ground. For the first The length of the ground reinforcement piles for rail transit.

[0042] In practice, the above steps can be implemented by writing a secondary development program for AutoCAD. This program automates the drawing of the design scope and corresponding elements for the weak ground reinforcement of rail transit in AutoCAD, including polylines, text, and pattern fills. Based on the basic design data and parameters, it automatically arranges and accurately calculates the quantity of weak ground reinforcement piles. Programming languages ​​include C++ and C#, and after the program runs, it can automatically complete the above operations in dwg, dws, dwt, and dxf format files.

[0043] For a certain subway line with 32 tunnel sections, if using existing production methods and manual processing, it would take approximately 60 working days to complete the calculation and design of the ground weak reinforcement work. However, if the method and embodiments described in this invention are used, it can be completed in only 6 working days, significantly improving production efficiency.

[0044] Example 2 Corresponding to the above embodiments, this application also provides an electronic device.

[0045] See Figure 2 This is a schematic diagram of the structure of an electronic device provided in an embodiment of this application. Figure 2As shown, the electronic device 1000 may include a processor 1001, a memory 1002, and a communication unit 1003. These components communicate via one or more buses. Those skilled in the art will understand that the electronic device structure shown in the figure does not constitute a limitation on the embodiments of this application. It may be a bus topology or a star topology, and may include more or fewer components than shown, or combine certain components, or have different component arrangements.

[0046] The communication unit 1003 is used to establish a communication channel, thereby enabling the electronic device to communicate with other devices.

[0047] The processor 1001 serves as the control center of the electronic device, connecting various parts of the device via various interfaces and lines. It executes software programs and / or modules stored in the memory 1002, and calls data stored in the memory to perform various functions and / or process data. The processor may be composed of integrated circuits (ICs), such as a single packaged IC or multiple packaged ICs with the same or different functions connected together. For example, the processor 1001 may consist only of a central processing unit (CPU). In this embodiment, the CPU may have a single processing core or include multiple processing cores.

[0048] Memory 1002 is used to store the execution instructions of processor 1001. Memory 1002 can be implemented by any type of volatile or non-volatile storage device or a combination thereof, such as static random access memory (SRAM), electrically erasable programmable read-only memory (EEPROM), erasable programmable read-only memory (EPROM), programmable read-only memory (PROM), read-only memory (ROM), magnetic storage, flash memory, magnetic disk or optical disk.

[0049] When the execution instructions in memory 1002 are executed by processor 1001, the electronic device 1000 is able to perform some or all of the steps in the above method embodiments.

[0050] Corresponding to the above embodiments, this application also provides a computer-readable storage medium, wherein the computer-readable storage medium may store a program, wherein when the program runs, it can control the device where the computer-readable storage medium is located to execute some or all of the steps in the above method embodiments. In specific implementation, the computer-readable storage medium may be a magnetic disk, an optical disk, read-only memory (ROM), or random access memory (RAM), etc.

[0051] Corresponding to the above embodiments, this application also provides a computer program product containing executable instructions that, when executed on a computer, cause the computer to perform some or all of the steps in the above method embodiments.

[0052] For those skilled in the art, various other corresponding changes and modifications can be made based on the technical solutions and concepts described above, and all such changes and modifications should fall within the protection scope of the claims of this invention.

Claims

1. A method for assessing the quantity of ground weak reinforcement work, characterized in that, The specific steps are as follows: Read the longitudinal section design data and the plan design data of ground reinforcement from the longitudinal section design document and the plan design document of the rail transit ground reinforcement respectively; The scope of design and engineering quantity calculation for weak ground reinforcement of rail transit is determined based on the starting and ending mileages of the line in the longitudinal section design data and the plan design data of ground reinforcement. Based on the design and engineering quantity calculation scope of the weak reinforcement of the rail transit ground, mark and draw the outline of the weak reinforcement design of the rail transit ground. Within the scope of the design and engineering quantity calculation for the weak reinforcement of the rail transit ground, the spacing of the weak reinforcement piles for the rail transit ground shall be set, and the number of weak reinforcement piles shall be determined. Arrange weak reinforcement piles on the ground of the rail transit system row by row, and calculate and store the length of each weak reinforcement pile. Calculate the total length of all weak reinforcement piles within the scope of the design and engineering quantity calculation for the weak reinforcement of the rail transit ground, and then determine the engineering quantity of the weak reinforcement of the rail transit ground.

2. The method for assessing the quantity of ground weak reinforcement work as described in claim 1, characterized in that, The ground reinforcement longitudinal section design data includes at least ground line data, tunnel outer diameter data, upper offset value of the tunnel reinforcement range, and route design data; the ground reinforcement plan design data includes at least the width of the ground reinforcement vertical projection on the ground along the horizontal plane perpendicular to the route centerline.

3. The method for assessing the quantity of ground weak reinforcement work as described in claim 2, characterized in that, The ground line data includes at least ground points and their corresponding histories and elevations.

4. The method for assessing the quantity of ground weak reinforcement work as described in claim 1, characterized in that, The design outline for the weak reinforcement of the rail transit ground is a multi-segment design. The top outline of the design outline is the ground line within the scope of the design and engineering quantity calculation for the weak reinforcement of the rail transit ground. The bottom outline of the design outline is the upper boundary line of the strong reinforcement range within the scope of the design and engineering quantity calculation for the weak reinforcement of the rail transit ground.

5. The method for assessing the quantity of ground weak reinforcement work as described in claim 1, characterized in that, The starting points on both sides of the design outline for the weak reinforcement of the rail transit ground are determined based on the starting mileage of the design and engineering quantity calculation range for the weak reinforcement of the rail transit ground; the ending points on both sides of the design outline for the weak reinforcement of the rail transit ground are determined based on the ending mileage of the design and engineering quantity calculation range for the weak reinforcement of the rail transit ground.

6. The method for assessing the quantity of ground weak reinforcement work as described in claim 1, characterized in that, The process of setting the spacing of weak reinforcement piles for the rail transit ground within the scope of the design and engineering quantity calculation, and determining the number of weak reinforcement piles, specifically includes: The spacing of the ground weak reinforcement piles for rail transit includes longitudinal spacing and transverse spacing; The number of weak reinforcement piles includes the number of transverse rows of weak reinforcement piles within the scope of the design and engineering quantity calculation of the weak reinforcement of the rail transit ground and the number of weak reinforcement piles in each transverse row. The number of transverse rows of the weakly reinforced piles Calculate using the following formula: in, , These refer to the line length and the longitudinal spacing of the ground weak reinforcement piles within the scope of the design and engineering quantity calculation for rail transit ground weak reinforcement. The rounding up symbol; The number of weak reinforcement piles in each row in the transverse direction Calculate using the following formula: in, , These refer to the plane width of the ground reinforcement and the lateral spacing of the weak ground reinforcement piles for rail transit, respectively. The rounding up symbol.

7. The method for assessing the quantity of ground weak reinforcement work as described in claim 6, characterized in that, The process of sequentially arranging weakly reinforced piles on the ground surface of the rail transit system, and calculating and storing the length of each weakly reinforced pile, specifically involves: The ground weak reinforcement piles of the rail transit are arranged in rows according to the longitudinal spacing within the scope of the design and engineering quantity calculation of the ground weak reinforcement of the rail transit; Based on the line mileage of each row of weak ground reinforcement piles for rail transit, the elevation data corresponding to the mileage is obtained from the ground line data and the upper boundary line of the strong reinforcement range, and the length of each row of weak ground reinforcement piles for rail transit is obtained.

8. The method for evaluating the quantity of ground weak reinforcement work as described in claim 6, characterized in that, The calculation of the total length of all weak reinforcement piles within the scope of the design and quantity calculation for the weak reinforcement of the rail transit ground, and then the determination of the quantity of weak reinforcement work for the rail transit ground, is specifically as follows: The quantity of weak ground reinforcement engineering for rail transit is the total length of all weak reinforcement piles within the scope of the design and engineering quantity calculation for weak ground reinforcement of rail transit. The quantity of ground reinforcement works for rail transit Calculate using the following formula: in, , These refer to the number of transverse rows of the weakly reinforced piles and the number of weakly reinforced piles in each transverse row, respectively. For the first The length of the reinforcement piles for removing weak points.

9. An electronic device, characterized in that, include: processor; Memory; And a computer program, wherein the computer program is stored in the memory, the computer program including instructions that, when executed by the processor, perform the method of any one of claims 1-8.

10. A computer-readable storage medium, characterized in that, The computer-readable storage medium includes a stored program, wherein, when the program is executed, the device containing the computer-readable storage medium performs the method of claims 1-8.