CN112231819B - Method and device for determining coplanarity of line segments, storage medium and electronic device - Google Patents

Method and device for determining coplanarity of line segments, storage medium and electronic device Download PDF

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CN112231819B
CN112231819B CN202011212582.1A CN202011212582A CN112231819B CN 112231819 B CN112231819 B CN 112231819B CN 202011212582 A CN202011212582 A CN 202011212582A CN 112231819 B CN112231819 B CN 112231819B
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line segment
vector
coordinate system
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coordinate
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CN112231819A (en
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尤勇敏
请求不公布姓名
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Jiuling Jiangsu Digital Intelligent Technology Co Ltd
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    • G06FELECTRIC DIGITAL DATA PROCESSING
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    • G06F30/10Geometric CAD
    • G06F30/13Architectural design, e.g. computer-aided architectural design [CAAD] related to design of buildings, bridges, landscapes, production plants or roads
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
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Abstract

The invention provides a method and a device for determining coplanarity of line segments, a storage medium and an electronic device, wherein the method comprises the following steps: determining a first vector and a second vector of the first line segment and the second line segment in a first coordinate system; establishing a second coordinate system according to the first vector and the second vector; and determining coordinate values of the first line segment and the second line segment in a second coordinate system, and determining whether the first line segment and the second line segment are coplanar through the coordinate values. The method and the device solve the problem of low efficiency of determining whether the line segments are coplanar.

Description

Method and device for determining coplanarity of line segments, storage medium and electronic device
Technical Field
The invention relates to the technical field of building aided design, in particular to a method and a device for determining line segment coplanarity, a storage medium and an electronic device.
Background
In the prior art, in the process of building aided design by a user, it is usually necessary to determine whether two line segments are in the same plane when determining whether the two line segments intersect. For example, whether the line segments on the building surface are coplanar or not is judged, and the line segments on the building surface can be decorative lines or lines formed by edges and corners of a building body. If a unified interface is not provided for developers, the developers can think, design and realize the functions by themselves each time the functions need to be used. There may be a vulnerability, and the execution efficiency is not high, which will increase the working time of the developer and reduce the development efficiency.
For the problem that determining whether line segments are coplanar is inefficient in the related art, no effective solution exists at present.
Disclosure of Invention
The embodiment of the invention provides a method and a device for determining coplanarity of line segments, a storage medium and an electronic device, which are used for at least solving the problem of low efficiency in determining whether the line segments are coplanar in the related art.
According to an embodiment of the present invention, there is provided a method for determining coplanarity of wire segments, including: determining a first vector and a second vector of the first line segment and the second line segment in a first coordinate system; establishing a second coordinate system according to the first vector and the second vector; and determining coordinate values of the first line segment and the second line segment in the second coordinate system, and determining whether the first line segment and the second line segment are coplanar through the coordinate values.
Optionally, establishing a second coordinate system according to the first vector and the second vector includes: calculating a cross product of the first vector and the second vector to obtain a third vector; determining that the direction of the x axis in the second coordinate system is the direction of the first vector, and the direction of the z axis in the second coordinate system is the direction of the third vector; and determining the direction perpendicular to the x axis and the z axis at the same time as the direction of the y axis in the second coordinate system.
Optionally, establishing a second coordinate system according to the first vector and the second vector, further comprising: and determining the end point of the first line segment as the origin of the second coordinate system.
Optionally, determining coordinate values of the first line segment and the second line segment in the second coordinate system includes: selecting a group of first coordinate points on the first line segment, and determining the coordinate value of each first coordinate point in the second coordinate system to obtain a group of first coordinate values; and selecting a group of second coordinate points on the second line segment, and determining the coordinate value of each second coordinate point in the second coordinate system to obtain a group of second coordinate values.
Optionally, the determining whether the first line segment and the second line segment are coplanar through the coordinate values includes: the first line segment and the second line segment are coplanar in a case where both the set of first coordinate values and the set of second coordinate values are 0.
Optionally, the method further comprises: the first line segment and the second line segment are line segments on a building face in the building aid design.
According to another embodiment of the present invention, there is provided a line segment coplanarity determination apparatus including: the first determining module is used for determining a first vector and a second vector of the first line segment and the second line segment in a first coordinate system; the establishing module is used for establishing a second coordinate system according to the first vector and the second vector; and the second determining module is used for determining the coordinate values of the first line segment and the second line segment in the second coordinate system and determining whether the first line segment and the second line segment are coplanar through the coordinate values.
Optionally, the establishing module includes: the calculating unit is used for calculating a cross product of the first vector and the second vector to obtain a third vector; a first determining unit, configured to determine that a direction in which an x axis in the second coordinate system is located is a direction of the first vector, and a direction in which a z axis in the second coordinate system is located is a direction of the third vector; and the second determining unit is used for determining that the direction which is simultaneously vertical to the x axis and the z axis is the direction in which the y axis is positioned in the second coordinate system.
According to a further embodiment of the present invention, there is also provided a storage medium having a computer program stored therein, wherein the computer program is arranged to perform the steps of any of the above method embodiments when executed.
According to yet another embodiment of the present invention, there is also provided an electronic device, including a memory in which a computer program is stored and a processor configured to execute the computer program to perform the steps in any of the above method embodiments.
By the invention, the first vector and the second vector of the first line segment and the second line segment in the first coordinate system are determined; establishing a second coordinate system according to the first vector and the second vector; and determining coordinate values of the first line segment and the second line segment in a second coordinate system, and determining whether the first line segment and the second line segment are coplanar through the coordinate values. Therefore, the problem that the efficiency of determining whether the line segments are coplanar is low can be solved, and the effect of improving the efficiency is achieved.
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The accompanying drawings, which are included to provide a further understanding of the invention and are incorporated in and constitute a part of this application, illustrate embodiment(s) of the invention and together with the description serve to explain the invention without limiting the invention. In the drawings:
fig. 1 is a block diagram of a hardware structure of a mobile terminal of a method for determining line segment coplanarity according to an embodiment of the present invention;
FIG. 2 is a flow diagram of the determination of coplanarity of line segments according to an embodiment of the present invention;
FIG. 3 is a schematic diagram of line segments in a global coordinate system in accordance with an alternative embodiment of the present invention;
FIG. 4 is a schematic view of an xYZ vector according to an alternative embodiment of the invention;
FIG. 5 is a schematic view of an xYZ2 vector according to an alternative embodiment of the invention;
fig. 6 is a block diagram of a device for determining coplanarity of line segments according to an embodiment of the present invention.
Detailed Description
The invention will be described in detail hereinafter with reference to the accompanying drawings in conjunction with embodiments. It should be noted that the embodiments and features of the embodiments in the present application may be combined with each other without conflict.
It should be noted that the terms "first," "second," and the like in the description and claims of the present invention and in the drawings described above are used for distinguishing between similar elements and not necessarily for describing a particular sequential or chronological order.
The method provided by the first embodiment of the present application may be executed in a mobile terminal, a computer terminal, or a similar computing device. Taking the operation on a mobile terminal as an example, fig. 1 is a hardware structure block diagram of the mobile terminal of a method for determining line segment coplanarity according to an embodiment of the present invention. As shown in fig. 1, the mobile terminal 10 may include one or more (only one shown in fig. 1) processors 102 (the processor 102 may include, but is not limited to, a processing device such as a microprocessor MCU or a programmable logic device FPGA) and a memory 104 for storing data, and optionally may also include a transmission device 106 for communication functions and an input-output device 108. It will be understood by those skilled in the art that the structure shown in fig. 1 is only an illustration, and does not limit the structure of the mobile terminal. For example, the mobile terminal 10 may also include more or fewer components than shown in FIG. 1, or have a different configuration than shown in FIG. 1.
The memory 104 may be used to store a computer program, for example, a software program of an application software and a module, such as a computer program corresponding to the determination method of coplanarity of line segments in the embodiment of the present invention, and the processor 102 executes various functional applications and data processing by running the computer program stored in the memory 104, so as to implement the method described above. The memory 104 may include high speed random access memory, and may also include non-volatile memory, such as one or more magnetic storage devices, flash memory, or other non-volatile solid-state memory. In some instances, the memory 104 may further include memory located remotely from the processor 102, which may be connected to the mobile terminal 10 via a network. Examples of such networks include, but are not limited to, the internet, intranets, local area networks, mobile communication networks, and combinations thereof.
The transmission device 106 is used for receiving or transmitting data via a network. Specific examples of the network described above may include a wireless network provided by a communication provider of the mobile terminal 10. In one example, the transmission device 106 includes a Network adapter (NIC), which can be connected to other Network devices through a base station so as to communicate with the internet. In one example, the transmission device 106 may be a Radio Frequency (RF) module, which is used for communicating with the internet in a wireless manner.
In this embodiment, a method for determining coplanarity of line segments running in the mobile terminal is provided, and fig. 2 is a flowchart for determining coplanarity of line segments according to an embodiment of the present invention, as shown in fig. 2, the flowchart includes the following steps:
step S202, determining a first vector and a second vector of the first line segment and the second line segment in a first coordinate system;
step S204, establishing a second coordinate system according to the first vector and the second vector;
step S206, determining coordinate values of the first line segment and the second line segment in the second coordinate system, and determining whether the first line segment and the second line segment are coplanar through the coordinate values.
The method comprises the steps of determining a first vector and a second vector of a first line segment and a second line segment in a first coordinate system; establishing a second coordinate system according to the first vector and the second vector; and determining coordinate values of the first line segment and the second line segment in a second coordinate system, and determining whether the first line segment and the second line segment are coplanar through the coordinate values. Therefore, the problem that the efficiency of determining whether the line segments are coplanar is low can be solved, and the effect of improving the efficiency is achieved.
Optionally, the execution subject of the above steps may be a terminal, etc., but is not limited thereto.
As an optional embodiment, the first line segment and the second line segment may be decorative lines on a building surface, or lines formed by corners of a building body. The first coordinate system may be a global coordinate system, the global coordinate system may be a pre-established coordinate system, as shown in fig. 3, the first coordinate system, line segment 1 and line segment 2, which are formed by an x1 axis, a y1 axis and a z1 axis, are included in fig. 3, where the first line segment may be line segment 1 in fig. 3, and the second line segment may be line segment 2 in fig. 3. As can be seen from fig. 3, the x1 axis in the first coordinate system coincides with line segment 1 and is the origin at the end point of line segment 1. The plane formed by the y1 axis and the z1 axis of the first coordinate system is the plane of the line segment 2. In the first coordinate system, a first vector of the line segment 1 and a second vector of the line segment 2 can be determined. Further, a new second coordinate system of the coordinate system can be created according to the first vector and the second vector, and whether the line segment 1 and the line segment 2 are coplanar can be determined according to the coordinate values of the line segment 1 and the line segment 2 in the second coordinate system.
Optionally, establishing a second coordinate system according to the first vector and the second vector includes: calculating a cross product of the first vector and the second vector to obtain a third vector; determining that the direction of the x axis in the second coordinate system is the direction of the first vector, and the direction of the z axis in the second coordinate system is the direction of the third vector; and determining the direction perpendicular to the x axis and the z axis at the same time as the direction of the y axis in the second coordinate system.
As an optional implementation, assuming that a first vector of the first line segment is dir1 and a second vector of the second line segment is dir2, the dir1 and the dir2 are subjected to vector cross product to obtain a third vector axis, and then a spatial coordinate system may be created according to the origin s0 and axis of the first line segment in the first coordinate system. It is practical to create a coordinate system with s0 as the origin and the axis of the vector axis as the z-axis. The X-axis direction is a direction in which the first line segment is located, and the y-axis direction is a direction perpendicular to axis and the X-axis, which may specifically include the following creation process: let the vector xYZ be the unit vector of the x1 axis in the first coordinate system. It is determined whether axis is opposite to the unit vector direction of the z1 axis in the first coordinate system. If so, the vector xYZ is assigned a negative x 1-axis unit vector (all the above determinations are made for special cases, i.e., the axis is coincident with the z1 axis). If not, the direction of the unit vector of axis and z1 axis is continuously judged whether is the same. If not, then the vector xYZ is assigned as the unit vector of the vector axis and the z1 axis. So the xYZ result is the result of a cross multiplication of axis with the z1 axis unit vector, fig. 4 is a schematic diagram of an xYZ vector according to an alternative embodiment of the present invention, where xyz.basisz is the z1 axis unit vector. Taking the vector xYZ2 as the result of cross-multiplying axis and xYZ, fig. 5 is a schematic diagram of the xYZ2 vector according to an alternative embodiment of the invention. From this it can be determined that the second coordinate system is:
origin: the end point of the first line segment, the origin in the first coordinate system. An X axis: the direction of vector xYZ; y-axis: the direction of the vector xYZ 2. Z-axis: the direction of the vector axis.
Optionally, establishing a second coordinate system according to the first vector and the second vector, further comprising: and determining the end point of the first line segment as the origin of the second coordinate system.
As an alternative embodiment, since the end point of the first line segment in the first coordinate system is used as the origin, the end point may be used as the origin of the second coordinate system.
Optionally, determining coordinate values of the first line segment and the second line segment in the second coordinate system includes: selecting a group of first coordinate points on the first line segment, and determining the coordinate value of each first coordinate point in the second coordinate system to obtain a group of first coordinate values; and selecting a group of second coordinate points on the second line segment, and determining the coordinate value of each second coordinate point in the second coordinate system to obtain a group of second coordinate values.
As an optional embodiment, the set of first coordinate points may be any selected point on the first line segment, and may be an end point or a point in the middle of the line segment. Similarly, the group of second coordinate points may be any selected point on the second line segment, may be end points of the second line segment, or may be points in the middle of the second line segment. And coordinate values of any point on the first line segment and the second line segment can be determined under the second coordinate system, so that a group of first coordinate values and a group of second coordinate values can be obtained.
Optionally, the determining whether the first line segment and the second line segment are coplanar through the coordinate values includes: the first line segment and the second line segment are coplanar in a case where both the set of first coordinate values and the set of second coordinate values are 0.
As an optional implementation manner, the origin point and the direction vector of the first line segment, the origin point and the direction vector of the second line segment may be respectively converted into the second coordinate system to obtain corresponding coordinates, and whether the z value of the origin point and the z value of the direction vector are both 0 is determined one by one, if both are 0, it is determined that the two line segments are coplanar; if both of the unsatisfied values are 0, the two line segments are not coplanar.
Optionally, the method further comprises: the first line segment and the second line segment are line segments on a building face in the building assistance design.
Through the above description of the embodiments, those skilled in the art can clearly understand that the method according to the above embodiments can be implemented by software plus a necessary general hardware platform, and certainly can also be implemented by hardware, but the former is a better implementation mode in many cases. Based on such understanding, the technical solutions of the present invention may be embodied in the form of a software product, which is stored in a storage medium (e.g., ROM/RAM, magnetic disk, optical disk) and includes instructions for enabling a terminal device (e.g., a mobile phone, a computer, a server, or a network device) to execute the method according to the embodiments of the present invention.
In this embodiment, a device for determining coplanarity of line segments is further provided, and the device is used to implement the foregoing embodiments and preferred embodiments, and details are not repeated after the description is given. As used below, the term "module" may be a combination of software and/or hardware that implements a predetermined function. Although the means described in the embodiments below are preferably implemented in software, an implementation in hardware, or a combination of software and hardware is also possible and contemplated.
Fig. 6 is a block diagram of a device for determining coplanarity of line segments according to an embodiment of the present invention, as shown in fig. 6, the device including: a first determining module 62, configured to determine a first vector and a second vector of the first line segment and the second line segment in a first coordinate system; an establishing module 64, configured to establish a second coordinate system according to the first vector and the second vector; and a second determining module 66, configured to determine coordinate values of the first line segment and the second line segment in the second coordinate system, and determine whether the first line segment and the second line segment are coplanar according to the coordinate values.
Optionally, the establishing module includes: the calculating unit is used for calculating the cross product of the first vector and the second vector to obtain a third vector; a first determining unit, configured to determine that a direction in which an x axis in the second coordinate system is located is a direction of the first vector, and a direction in which a z axis in the second coordinate system is located is a direction of the third vector; and the second determining unit is used for determining that the direction which is simultaneously vertical to the x axis and the z axis is the direction in which the y axis is positioned in the second coordinate system.
Optionally, the apparatus is configured to establish the second coordinate system according to the first vector and the second vector by: and determining the end point of the first line segment as the origin of the second coordinate system.
Optionally, the apparatus is configured to determine the coordinate values of the first line segment and the second line segment in the second coordinate system by: selecting a group of first coordinate points on the first line segment, and determining the coordinate value of each first coordinate point in the second coordinate system to obtain a group of first coordinate values; and selecting a group of second coordinate points on the second line segment, and determining the coordinate value of each second coordinate point in the second coordinate system to obtain a group of second coordinate values.
Optionally, the above apparatus is configured to implement the determining whether the first line segment and the second line segment are coplanar through the coordinate values by: the first line segment and the second line segment are coplanar in a case where both the set of first coordinate values and the set of second coordinate values are 0.
Optionally, the first line segment and the second line segment are line segments on a building face in the building assistance design.
It should be noted that the above modules may be implemented by software or hardware, and for the latter, the following may be implemented, but not limited to: the modules are all positioned in the same processor; alternatively, the modules are respectively located in different processors in any combination.
Embodiments of the present invention also provide a storage medium having a computer program stored therein, wherein the computer program is arranged to perform the steps of any of the above method embodiments when executed.
Alternatively, in the present embodiment, the storage medium may be configured to store a computer program for executing the steps of:
s1, determining a first vector and a second vector of a first line segment and a second line segment in a first coordinate system;
s2, establishing a second coordinate system according to the first vector and the second vector;
and S3, determining coordinate values of the first line segment and the second line segment in the second coordinate system, and determining whether the first line segment and the second line segment are coplanar through the coordinate values.
Optionally, in this embodiment, the storage medium may include, but is not limited to: various media capable of storing computer programs, such as a usb disk, a Read-Only Memory (ROM), a Random Access Memory (RAM), a removable hard disk, a magnetic disk, or an optical disk.
Embodiments of the present invention also provide an electronic device comprising a memory having a computer program stored therein and a processor arranged to run the computer program to perform the steps of any of the above method embodiments.
Optionally, the electronic apparatus may further include a transmission device and an input/output device, wherein the transmission device is connected to the processor, and the input/output device is connected to the processor.
Optionally, in this embodiment, the processor may be configured to execute the following steps by a computer program:
s1, determining a first vector and a second vector of a first line segment and a second line segment in a first coordinate system;
s2, establishing a second coordinate system according to the first vector and the second vector;
and S3, determining coordinate values of the first line segment and the second line segment in the second coordinate system, and determining whether the first line segment and the second line segment are coplanar through the coordinate values.
Optionally, the specific examples in this embodiment may refer to the examples described in the above embodiments and optional implementation manners, and this embodiment is not described herein again.
It will be apparent to those skilled in the art that the modules or steps of the present invention described above may be implemented by a general purpose computing device, they may be centralized on a single computing device or distributed across a network of multiple computing devices, and alternatively, they may be implemented by program code executable by a computing device, such that they may be stored in a storage device and executed by a computing device, and in some cases, the steps shown or described may be performed in an order different than that described herein, or they may be separately fabricated into individual integrated circuit modules, or multiple ones of them may be fabricated into a single integrated circuit module. Thus, the present invention is not limited to any specific combination of hardware and software.
The above description is only a preferred embodiment of the present invention and is not intended to limit the present invention, and various modifications and changes may be made by those skilled in the art. Any modification, equivalent replacement, or improvement made within the principle of the present invention should be included in the protection scope of the present invention.

Claims (6)

1. A method for determining coplanarity of wire segments, comprising:
determining a first vector and a second vector of a first line segment and a second line segment in a first coordinate system, wherein the first line segment and the second line segment are line segments on a building surface in a building auxiliary design, and the first coordinate system is a global coordinate system;
establishing a second coordinate system according to the first vector and the second vector;
determining coordinate values of the first line segment and the second line segment in the second coordinate system, and determining whether the first line segment and the second line segment are coplanar through the coordinate values;
wherein establishing a second coordinate system from the first vector and the second vector comprises: calculating a cross product of the first vector and the second vector to obtain a third vector; determining that the direction of the x axis in the second coordinate system is the direction of the first vector, and the direction of the z axis in the second coordinate system is the direction of the third vector; determining a direction perpendicular to the x axis and the z axis at the same time as a direction in which the y axis is located in the second coordinate system;
wherein the determining whether the first line segment and the second line segment are coplanar by the coordinate values comprises: and under the condition that the coordinate values are all 0, the first line segment and the second line segment are coplanar, and the coordinate values comprise a group of first coordinate values corresponding to the first line segment and a group of second coordinate values corresponding to the second line segment.
2. The method of claim 1, wherein establishing a second coordinate system from the first vector and the second vector, further comprises:
and determining the end point of the first line segment as the origin of the second coordinate system.
3. The method of claim 2, wherein determining coordinate values of the first line segment and the second line segment in the second coordinate system comprises:
selecting a group of first coordinate points on the first line segment, and determining the coordinate value of each first coordinate point in the second coordinate system to obtain the group of first coordinate values;
and selecting a group of second coordinate points on the second line segment, and determining the coordinate value of each second coordinate point in the second coordinate system to obtain the group of second coordinate values.
4. A device for determining coplanarity of wire segments, comprising:
the system comprises a first determination module, a second determination module and a third determination module, wherein the first determination module is used for determining a first vector and a second vector of a first line segment and a second line segment in a first coordinate system, the first line segment and the second line segment are line segments on a building surface in the building auxiliary design, and the first coordinate system is a global coordinate system;
the establishing module is used for establishing a second coordinate system according to the first vector and the second vector;
the second determining module is used for determining coordinate values of the first line segment and the second line segment in the second coordinate system and determining whether the first line segment and the second line segment are coplanar through the coordinate values;
the establishing module comprises: the calculating unit is used for calculating the cross product of the first vector and the second vector to obtain a third vector; a first determining unit, configured to determine that a direction in which an x axis in the second coordinate system is located is a direction of the first vector, and a direction in which a z axis in the second coordinate system is located is a direction of the third vector; a second determining unit, configured to determine a direction perpendicular to both the x-axis and the z-axis as a direction in which a y-axis is located in the second coordinate system;
the second determination module determines whether the first line segment and the second line segment are coplanar by: and under the condition that the coordinate values are all 0, the first line segment and the second line segment are coplanar, and the coordinate values comprise a group of first coordinate values corresponding to the first line segment and a group of second coordinate values corresponding to the second line segment.
5. A storage medium, in which a computer program is stored, wherein the program is executed by a terminal device or a computer to perform the method of any one of claims 1 to 3.
6. An electronic device comprising a memory and a processor, wherein the memory has stored therein a computer program, and wherein the processor is arranged to execute the computer program to perform the method of any of claims 1 to 3.
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CN107393005A (en) * 2017-07-25 2017-11-24 中国科学院武汉岩土力学研究所 A kind of three-dimensional rock block system modeling method
WO2018112788A1 (en) * 2016-12-21 2018-06-28 华为技术有限公司 Image processing method and device
CN110823156A (en) * 2019-07-29 2020-02-21 中国第一汽车股份有限公司 Measuring method, device and equipment for curved surface part and storage medium

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2018112788A1 (en) * 2016-12-21 2018-06-28 华为技术有限公司 Image processing method and device
CN107393005A (en) * 2017-07-25 2017-11-24 中国科学院武汉岩土力学研究所 A kind of three-dimensional rock block system modeling method
CN110823156A (en) * 2019-07-29 2020-02-21 中国第一汽车股份有限公司 Measuring method, device and equipment for curved surface part and storage medium

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