WO2016095502A1

WO2016095502A1 - Mathematical formula processing method, device, apparatus and computer storage medium

Info

Publication number: WO2016095502A1
Application number: PCT/CN2015/083534
Authority: WO
Inventors: 韩聪
Original assignee: 百度在线网络技术（北京）有限公司
Priority date: 2014-12-17
Filing date: 2015-07-08
Publication date: 2016-06-23
Also published as: JP2018501551A; CN104572577B; CN104572577A; KR101950126B1; KR20170071553A; JP6866551B2

Abstract

A mathematical formula processing method, device, apparatus and computer storage medium, the method comprising: acquiring an object corresponding to the content of a formula, the object comprising image objects and a hierarchical relationship between the image objects, the hierarchical relationship between the image objects representing a calculating sequence corresponding to the content of the formula, and the image objects comprising a calculation type attribute and an operand attribute (101); according to the hierarchical relationship between the image objects, and the calculation type attribute and the operand attribute of the image objects, acquiring a mathematical expression corresponding to the image objects (102); and according to the hierarchical relationship between the image objects, drawing the mathematical expression corresponding to the image objects into a page to obtain a mathematical formula corresponding to the content of the formula (103), thus addressing the problem that the mathematical formula is effected by the CSS style of the page, and improving the display stability of the mathematical formula.

Description

Mathematical formula processing method, device, device and computer storage medium

The present application claims priority to Chinese Patent Application No. 201410790497.1, entitled "Mathematical Formula Processing Method and Apparatus", filed on December 17, 2014.

Technical field

The present invention relates to the field of Internet technologies, and in particular, to a mathematical formula processing method, apparatus, device, and computer storage medium.

Background technique

With the development of Internet technology, the need to display mathematical formulas on browsers is becoming more and more urgent. Currently, the industry mainly uses the following methods to edit and present mathematical formulas on the browser:

The user enters the formula content according to the prescribed "formula representation", and the browser uses HyperText Mark-up Language (HTML) and Cascading Style Sheets (CSS) to render the user input into a mathematical formula. For the user to preview, after the user submits, the server saves the content input by the user as it is. When the user needs to read the math formula, the server returns the previously saved content to the browser, and the browser renders the content returned by the server into a mathematical formula using HTML and CSS.

The above-mentioned scheme for presenting a mathematical formula based on HTML is very easy to be influenced by the CSS style in the host page when presenting the mathematical formula, and the display effect is unstable.

Summary of the invention

Aspects of the present invention provide a mathematical formula processing method, apparatus, device, and computer storage medium for overcoming the problem that a mathematical formula is affected by a page CSS style, and improving the display stability of the mathematical formula.

In one aspect of the invention, a mathematical formula processing method is provided, comprising:

Obtaining a body object corresponding to the formula content, where the body object includes a hierarchical relationship between the graphic object and the image object, and the hierarchical relationship between the graphic objects represents an operation sequence corresponding to the formula content, and the graphic object includes Operation type attribute and operand attribute;

Obtaining a mathematical expression corresponding to the graphic object according to a hierarchical relationship between the graphic objects, an operation type attribute of the graphic object, and an operand attribute of the graphic object;

And according to the hierarchical relationship between the graphic objects, the mathematical expression corresponding to the graphic object is drawn into the page to obtain a mathematical formula corresponding to the formula content.

In another aspect of the invention, a mathematical formula processing apparatus is provided, comprising:

An acquiring module, configured to acquire a body object corresponding to the formula content, where the body object includes a hierarchical relationship between the graphic object and the image object, and the hierarchical relationship between the graphic objects represents an operation sequence corresponding to the formula content, The graphic object includes an operation type attribute and an operand attribute;

a processing module, configured to obtain a mathematical expression corresponding to the graphic object according to a hierarchical relationship between the graphic objects, an operation type attribute of the graphic object, and an operand attribute of the graphic object;

And a drawing module, configured to draw a mathematical expression corresponding to the graphic object into a page according to a hierarchical relationship between the graphic objects, to obtain a mathematical formula corresponding to the formula content.

In the present invention, the formula content is represented by the body object, and the operation order corresponding to the formula content is represented by the hierarchical relationship between the graphic objects included in the body object, and the graphic object includes the operation type attribute and the operand attribute; The hierarchical relationship between the hierarchical relationship, the operation type attribute of the graphic object, and the operand attribute of the graphic object obtain the mathematical expression corresponding to the graphic object, and further correspond to the graphic object according to the hierarchical relationship between the graphic objects. The mathematical expression is drawn into the page to obtain the mathematical formula corresponding to the formula content. The invention realizes the generation of a mathematical formula in the page by the drawing technology based on the main body object, which is different from the HTML label used in the prior art, which makes the mathematical formula generated by the invention completely independent of the page and becomes an independent whole. Therefore, it is not easy to be interfered or affected by the CSS style in the page, and the display effect is relatively stable.

DRAWINGS

FIG. 1 is a schematic flowchart diagram of a mathematical formula processing method according to an embodiment of the present invention;

2 is a schematic diagram of an embodiment of the present invention for explaining how to correctly decompose a public content into a reference expression;

FIG. 3 is a schematic diagram of an editing interface according to an embodiment of the present invention; FIG.

FIG. 4 is a schematic diagram of a process for generating a formula syntax tree according to an embodiment of the present invention; FIG.

10 to FIG. 12 are schematic diagrams showing a process of changing a content of a formula by a user through a selection operation according to an embodiment of the present invention;

FIG. 13 is a schematic structural diagram of a mathematical formula processing apparatus according to an embodiment of the present invention.

detailed description

The present invention will be described in detail below with reference to the drawings and specific embodiments.

FIG. 1 is a schematic flowchart diagram of a mathematical formula processing method according to an embodiment of the present invention. As shown in Figure 1, the method includes:

101. Acquire a subject object corresponding to the formula content, where the subject object includes a hierarchical relationship between the graphic object and the image object, and the hierarchical relationship between the graphic objects represents an operation sequence corresponding to the formula content, and the graphic object includes the operation type attribute and the operand attribute. .

102. According to the hierarchical relationship between the graphic objects and the operation type attribute of the graphic object And the operand property of the graphic object to obtain the mathematical expression corresponding to the graphic object.

103. According to the hierarchical relationship between the graphic objects, the mathematical expression corresponding to the graphic object is drawn into the page to obtain a mathematical formula corresponding to the formula content.

The embodiment provides a mathematical formula processing method, which can be performed by a mathematical formula processing device. The mathematical formula processing device may be a mathematical formula processing engine or a tool library, for example, may be applied to a browser environment for implementing web-based mathematical formula processing; or the data formula processing device may be implemented as a separate formula editor.

Specifically, when a mathematical formula needs to be displayed on the page, the subject object corresponding to the formula content is obtained. The content of the formula is the content required to generate the mathematical formula, and generally includes information such as operands, operators, and operation order in the mathematical formula. In general, the formula content can be input by the user, but is not limited thereto.

It should be noted that the embodiment does not limit the representation of the formula content. For example, the user can enter the formula content in a "formula representation" supported by the browser.

In this embodiment, the subject object corresponding to the formula content is actually an object having a hierarchical structure, and specifically includes: a hierarchical relationship between the graphic object and the graphic object, and the graphic object includes an operation type attribute and an operand attribute; The hierarchical relationship between the graphic objects, the hierarchical relationship between the graphic objects embodies the hierarchical structure of the main object, and the hierarchical relationship between the graphic objects represents the operation sequence corresponding to the formula content, that is, between the operands in the formula content. The order of operations.

The operation type attribute of the graphic object can be recorded as the "name" attribute, which mainly represents the operation type in the mathematical formula, such as "+", "-", "×", and the like. The operand property of a graphic object can be written as an "operand" property, which can be represented by an array, for example, the array can be recorded in order of the "operands" list contained in the hierarchy of the graphic object. Each of these operands can be a "simple object" or a "composite object". If the operand is a "composite object", the operand can continue to be decomposed to form a subgraphic object under the graphical object.

On the whole, the entire formula content is broken down into different benchmark expressions with simpler semantics, and converted into a hierarchical body object is stored.

Alternatively, the hierarchical body object may be a formula syntax tree, which is actually a syntax tree for identifying mathematical formulas.

In an implementation manner of acquiring a subject object, the subject object corresponding to the formula content may be pre-generated and stored in the specified storage space. When the mathematical formula needs to be displayed on the page, the mathematical formula processing device may directly obtain the specified storage space. The subject object.

In another implementation manner of acquiring a subject object, the formula content may be pre-acquired and stored in a specified storage space. When a mathematical formula needs to be displayed on the page, the mathematical formula processing device may obtain the formula content from the specified storage space, and The contents of the formula are processed to generate the body object. For example, the mathematical formula processing device can acquire the formula content; according to the preset decomposition rule, the formula content is decomposed into non-resolvable reference expressions; according to the hierarchical relationship between the reference expressions, the type of the reference expression, and the reference expression The operands included, generating the body object. Wherein each reference expression is mapped to a graphic object in the body object, and the type of the reference expression and the included operand are respectively mapped into the operation type attribute and the operand attribute of the graphic object; the level between the reference expressions Relationships are mapped to hierarchical relationships between graphical objects.

In the above embodiment, all the contents appearing in the mathematical formula are regarded as operands (including numbers and arithmetic symbols), and then the inseparable reference expressions are obtained by preprocessing the operands, for example, text expressions, Square root expression, integral expression, etc. to arrive at The purpose of these benchmark expressions can be reused when presenting mathematical formulas, so that various mathematical formulas can be obtained by combining these benchmark expressions and adjusting relative positions.

Among them, the above reference expression will relatively locate the elements contained inside according to its display effect in the mathematical formula. For example, a text expression will linearly arrange its internal symbols; a square root expression will generate a proper size root number according to its content, and arrange its contents; the integral expression will adjust its upper and lower limits, so that The upper and lower limits are in a relatively correct position.

Figure 2 is used to illustrate how to correctly decompose the public content into a reference expression. As shown in Figure 2, the downward arrow indicates the content of the formula.

The process of decomposing to obtain a reference expression, the upward arrow is the process of obtaining a mathematical formula by combining the decomposed reference expressions, which are mutually reciprocal.

To help understand the above decomposition and combination process, the following formula:

A subsection of (x+a) ² is described:

First, the formula (x+a) ² shown by reference numeral 3 in Fig. ² is mathematically a flat mode, and in the present embodiment, it can be expressed using a "superscript expression".

Then, according to the requirement of the superscript expression in the embodiment, the formula (x+a) ² is decomposed, and finally a sub-expression with the label 1 and a sub-expression with the label 2 are obtained, and at this time, if the decomposition is obtained The subexpression is not a text expression (TextExpression), and the subexpression of label 1 or label 2 is decomposed again according to the requirements of the subexpression until all the expressions are finally decomposed into text expressions. In this example, a two-text expression is obtained by decomposing the expression with the number 3, that is, two sub-expressions labeled 1 and 2. At this point, the decomposition process ends. It is worth noting that the expression labeled 3 in Figure 2 corresponds to the subject object, and the two sub-expressions labeled 1 and 2 correspond to one of the subject objects, respectively.

Finally, the "restore" process is performed based on the resulting set of text expressions. The process of "restore" is actually a process of recursing the "decomposition". The whole process is merged upwards from the end of the text expression. Each merge will get a new "composite expression", for example: square root expression , superscript expressions, etc. The whole process continues to recursively until there is only one unique expression left, and the expression is the final mathematical formula.

In yet another embodiment of obtaining a subject object, the formula content is not obtained in advance, but is entered by the user when a mathematical formula needs to be displayed on the page. Based on this, when the mathematical formula needs to be displayed on the page, the mathematical formula processing device can provide an editing interface to the user on the page, and sequentially acquire the operation symbol or the operand in the formula content input by the user through the editing interface to generate the formula content. Corresponding subject object.

For example, the above editing interface may include a visible editing area and a hidden editing area. The visible editing area is mainly used for the user to issue an input instruction and display the formula content to the user according to the manner desired by the user, and the hidden editing area is used to activate the input capturing event and input the formula content for the user. Optionally, the hidden editing area is hidden. Further, the editing interface may further include: inputting a tool area. An implementation of the editing interface is shown in FIG. 3. The area labeled 1 in FIG. 3 is a hidden editing area, which is hidden in the actual environment, and is explicitly displayed here to visually describe subsequent acquisition. The process of the operand entered by the user. The area labeled 2 in Fig. 3 is a visible editing area in which the user can select the entered formula by the mouse. The area labeled 3 in Figure 3 is the input tool area, which presets some symbols and formulas in advance to facilitate the user to directly select the input, reducing the complexity of the user inputting special characters and common formulas. The area labeled 4 in Figure 3 is an analog cursor to Indicates the location where the user currently inputs the cursor.

Based on the above-mentioned editing interface, the mathematical formula processing device sequentially acquires the operation symbols or operands in the formula content input by the user through the editing interface, and the implementation process of generating the body object corresponding to the formula content includes:

According to an editing instruction issued by the user in the visible editing area, an analog cursor indicating the current input position is displayed in the visible editing area, the simulated cursor moves following the user's input, and the system cursor associated with the simulated cursor is positioned to the hidden editing area. The capture event is activated by an activation; for example, the user can click on the visible edit area labeled 2 to issue an edit instruction.

The user can input directly through the keyboard, or click on the character or formula predetermined by the input tool area 3. When the user performs any of the above operations, an input capture event with the label 1 hidden edit area will be triggered. Thus, the operand or operand in the formula content entered by the user in the hidden edit area labeled 1 will be sequentially captured, and the graphic object will be added to the initial empty object according to the current position of the system cursor and the captured arithmetic symbol or operand. And/or operands in the graphic object to get the body object.

The subject object corresponding to the above formula content is generated in the process of the user inputting the formula content.

In the following, the user inputs the formula content a+b÷c-b/a, and takes the subject object as the formula syntax tree as an example to illustrate the process of generating the formula syntax tree.

When the user inputs for the first time, the content is empty at this time, and the user inputs the first character through the keyboard: “a”, and the formula syntax tree is obtained as shown in FIG. 4 .

The user continues to input characters through the keyboard: "+", and the formula syntax tree is obtained as shown in FIG.

The user continues to input characters through the keyboard: "b", and the formula syntax tree is obtained as shown in Fig. 6. Shown.

Next, the user needs to input the “÷” symbol. Since the key for directly inputting the “÷” symbol is not provided on the keyboard, the user can input “÷” by the preset symbol of the tool input area included in the editing interface, and the user clicks the corresponding button. After the symbol, the "÷" symbol is entered into the hidden editing area, and the formula syntax tree is obtained as shown in Fig. 7. The new "\\div\\" in Fig. 7 is the representation of the "÷" symbol inside the syntax tree of the formula in this embodiment.

The user continues to input the characters "c" and "-" through the keyboard, and the formula syntax tree is obtained as shown in FIG.

The user continues to input. At this time, the fraction should be input: b/a. Since the fraction cannot be directly input through the keyboard, the user needs to input using the preset formula provided in the tool input area of the editing interface, when the user clicks the corresponding button and inputs After the data, the resulting syntax tree is shown in Figure 9. At this point, the entire formula syntax tree is obtained.

It is worth noting that the above process of inputting the formula content through the editing interface can be regarded as the process of editing the content of the formula. In practical applications, when editing the content of a formula, the user performs a selection operation on a certain part of the formula content to achieve the purpose of editing part of the content of the formula.

Specifically, the mathematical formula processing device can identify the user's selection operation, and the selection operation refers to the operation of selecting a part of the operands in the formula content by the user; marking the main object according to some operands in the formula content selected by the user; The operand re-entered by the user in the selected area of the selection operation, replacing the marked operand on the subject object with the re-entered operand.

In the following, a simple formula a+b÷c will be taken as an example to illustrate the process in which the user changes the formula: a+b÷c to the new formula: a+b-c through the selection operation.

As shown in FIG. 10, the user presses the left mouse button at the position marked with 1, and continues to hold, at this time, the mathematical formula processing device will capture the event, and obtain the mouse pointer at this time from the incidental information of the event. Location information and record the information.

The user moves the mouse while holding down the left mouse button, and the moving track is as shown in the gray box labeled 2 in FIG. 10, at this time, the mathematical formula processing device will capture the "mouse moving" event, from The attached information of the event obtains the position of the mouse pointer at this moment, and calculates the selection according to the mouse pointer position at the moment and the previously recorded mouse pointer position information. After the selection is calculated, the selection "flag" is inserted in the corresponding position in the "Formula Syntax Tree" to mark the selection information.

The user continues to move the mouse and will continue to trigger the "Mouse Move" event, causing the process of the previous step to be repeated to update the selection.

The user releases the left button at the position marked 3 in FIG. 10, at which time the mathematical formula processing device will receive an event notification of "mouse button pop up" to update the selection and stop acquiring the location information, and the selection will remain unchanged. The update to the selection will not be restarted until the user repeats the process of the above steps. At this time, the syntax tree inside the formula is shown in Fig. 11, where two solid lines indicate the start and end points of the selection. It is worth noting that the solid line is only an example of the marking method and is not limited thereto.

At this point, the user types the character through the keyboard: "-", the formula syntax tree will first remove the content between the two solid lines in Figure 11, and then insert the new content, the updated syntax tree is shown in Figure 12. .

The position between the two solid lines in Fig. 12 is the position of the original selection area in Fig. 11. After the user inputs the new data, the original selection area is "closed", the content contained in the original selection area is deleted, and the new closed area is closed. The new content was inserted before the selection, which is "-".

Here, the user can perform an operation of updating the cursor position in addition to editing the formula. Since the update of the cursor position is actually a special case of the selection of the selection, the essence is a selection operation with a selection length of zero. The description of the selection may refer to the description of the operation of the selection change by the user above, and will not be described again.

It should be noted that in FIG. 4-9 and FIG. 11-12, each set of "name" and "operand" constitutes a graphic object, and all the graphic objects and the hierarchical relationship between the graphic objects constitute a main object. Taking FIG. 9 as an example, the entire content shown in FIG. 9 constitutes a main object; the main object shown in FIG. 9 includes two graphic objects, and the operation type attribute of one graphic object is "combination", and the operand attribute is ["a", "+", "b", "\\div\\", "c", "-"]; another graphic object has the operation type attribute "fraction" and the operand attribute is ["b", "a" ].

It can be seen from the above that the present embodiment is provided to the user in a very intuitive manner, which greatly improves the editing and reading experience of the formula and reduces the threshold for the user to use. In addition, in the present embodiment, it is not necessary to communicate with the server, and the user can quickly edit the formula and see the editing effect in an environment where the network is poor. Also, this embodiment has no additional requirements for the user, and the user does not need to understand the professional formula representation - TeX as in the prior art, because the WYSIWYG editing method is adopted, the user can see immediately after inputting. The rendering effect does not require a rendering request to the server, which greatly improves the process of the user's editing process and reduces the threshold for users to participate in editing.

Based on the foregoing embodiments, after obtaining the body object corresponding to the formula content, the graphic object may be obtained according to the hierarchical relationship between the graphic objects included in the body object, the operation type attribute of the graphic object, and the operand attribute of the graphic object. Mathematical expressions.

For example, you can follow the hierarchical relationship between graphic objects from bottom to top, one by one. The graphic object is drawn; the graphic is drawn according to the operation type attribute and the operand attribute of the graphic object to obtain a mathematical expression corresponding to the graphic object.

After that, the mathematical formula processing device can draw the mathematical expression corresponding to the graphic object into the page according to the hierarchical relationship between the graphic objects, to obtain a mathematical formula corresponding to the formula content.

For example, taking the main object object as a formula syntax tree as an example, the mathematical formula processing device can copy a formula syntax tree and call it a mapping tree, and directly replace the graphic object on the mapping tree with the corresponding graphic object. A mathematical expression, which in turn obtains a mapping tree composed of mathematical expressions, which is a drawable tree; then, in the order from top to bottom, the mapping tree is drawn into the page, thereby obtaining a Complete mathematical formula.

It should be noted that the drawing technology used in this embodiment may be an SVG drawing technology, but is not limited thereto.

It can be seen from the above that the present embodiment expresses the formula content by the body object, and specifically represents the operation order corresponding to the formula content by the hierarchical relationship between the graphic objects included in the body object, and the graphic object includes the operation type attribute and the operand attribute; The hierarchical relationship between the objects, the operation type attribute of the graphic object, and the operand attribute of the graphic object obtain the mathematical expression corresponding to the graphic object, and further draw the mathematical expression corresponding to the graphic object according to the hierarchical relationship between the graphic objects. In the page, get the mathematical formula corresponding to the formula content. The present embodiment implements a mathematical formula generated in a page by a drawing technique based on a main body object, which is different from the HTML label used in the prior art, which makes the generated mathematical formula completely independent of the page and becomes an independent whole. It is not easy to be interfered or affected by the CSS style in the page, and the display effect is relatively stable.

The technical solution of the present invention can support IE browsers of IE9 and above, chrome, firefox, Main browsers such as safari and opera, users can edit and read math formulas in most browsers.

It should be noted that, for the foregoing method embodiments, for the sake of simple description, they are all expressed as a series of action combinations, but those skilled in the art should understand that the present invention is not limited by the described action sequence. Because certain steps may be performed in other sequences or concurrently in accordance with the present invention. In addition, those skilled in the art should also understand that the embodiments described in the specification are all preferred embodiments, and the actions and modules involved are not necessarily required by the present invention.

In the above embodiments, the descriptions of the various embodiments are different, and the details that are not detailed in a certain embodiment can be referred to the related descriptions of other embodiments.

FIG. 13 is a schematic structural diagram of a mathematical formula processing apparatus according to an embodiment of the present application. As shown in FIG. 13, the apparatus includes: an obtaining module 1301, a processing module 1302, and a drawing module 1303.

The obtaining module 1301 is configured to obtain a body object corresponding to the formula content, where the body object includes a hierarchical relationship between the graphic object and the image object, the hierarchical relationship between the graphic objects represents an operation sequence corresponding to the formula content, and the graphic object includes the operation type attribute and Operand attribute.

The processing module 1302 is connected to the obtaining module 1301, and is configured to obtain a mathematical expression corresponding to the graphic object according to the hierarchical relationship between the graphic objects, the operation type attribute of the graphic object, and the operand attribute of the graphic object.

The drawing module 1303 is connected to the processing module 1302, and is configured to draw a mathematical expression corresponding to the graphic object obtained by the processing module 1302 into the page according to the hierarchical relationship between the graphic objects, to obtain a mathematical formula corresponding to the formula content.

In an optional implementation, the obtaining module 1301 is specifically configured to:

Get the formula content;

Decompose the formula content into a non-resolvable reference expression according to a preset decomposition rule;

A principal object is generated based on the hierarchical relationship between the reference expressions, the type of the reference expression, and the operands included in the reference expression.

In another optional implementation, the obtaining module 1301 is specifically configured to:

Providing an editing interface to the user in the page;

The operands or operands in the formula content entered by the user through the editing interface are sequentially acquired to generate a subject object.

Further optionally, the editing interface includes: a visible editing area and a hidden editing area.

Based on this, the obtaining module 1301 can be specifically used to:

Providing an editing interface to the user in the page;

According to an editing instruction issued by the user in the visible editing area, an analog cursor indicating the current input position is displayed in the visible editing area, the simulated cursor moves following the user's input, and the system cursor associated with the simulated cursor is positioned to the hidden editing area. Capture the event with an activation input;

The operands or operands in the formula content entered by the user in the hidden edit area are sequentially captured, and the graphic object and/or the graphic object are added to the initial empty object according to the current position of the system cursor and the captured arithmetic symbol or operand. The operands to get the body object.

Further, the mathematical formula processing apparatus provided in this embodiment may further include: an identification module, a marking module, and an updating module.

An identification module for identifying a user's selection operation, and the selection operation refers to an operation of the user selecting a part of the operands in the formula content;

a marking module, configured to mark in the main body object according to a part of the operands in the formula content selected by the user;

The update module is configured to obtain an operand that is re-entered by the user in the selected area of the selection operation, and replaces the marked operand on the subject object with the re-entered operand.

In an optional implementation, the processing module 1302 is specifically configured to:

The graphic objects are determined one by one according to the hierarchical relationship between the graphic objects from bottom to top;

The graphics are drawn according to the operation type attribute and the operand attribute of the graphic object to obtain a mathematical expression corresponding to the graphic object.

Optionally, the subject object corresponding to the content of the formula is a formula syntax tree corresponding to the formula content.

The mathematical formula processing apparatus provided in this embodiment expresses the formula content by the main body object, and specifically represents the operation order corresponding to the formula content by the hierarchical relationship between the graphic objects included in the main body object, and the graphic object includes the operation type attribute and the operand attribute. According to the hierarchical relationship between the graphic objects, the operation type attribute of the graphic object, and the operand attribute of the graphic object, the mathematical expression corresponding to the graphic object is obtained, and the mathematical expression corresponding to the graphic object is further determined according to the hierarchical relationship between the graphic objects. Draw into the page to get the mathematical formula corresponding to the formula content. The mathematical formula processing apparatus provided in this embodiment implements a mathematical formula generated in a page by a drawing technique based on a main body object, which is different from the HTML label used in the prior art, which makes the generated mathematical formula completely independent of the page and becomes An independent whole, so it is not easy to be interfered or affected by the CSS style in the page, and the display effect is relatively stable.

A person skilled in the art can clearly understand that for the convenience and brevity of the description, the specific working process of the system, the device and the unit described above can refer to the corresponding process in the foregoing method embodiment, and details are not described herein again.

In the several embodiments provided by the present invention, it should be understood that the disclosed system, apparatus, and method may be implemented in other manners. For example, the device embodiment described above For example, the division of the unit is only a logical function division, and the actual implementation may have another division manner, for example, multiple units or components may be combined or may be integrated into another system, or some Features can be ignored or not executed. In addition, the mutual coupling or direct coupling or communication connection shown or discussed may be an indirect coupling or communication connection through some interface, device or unit, and may be in an electrical, mechanical or other form.

The units described as separate components may or may not be physically separated, and the components displayed as units may or may not be physical units, that is, may be located in one place, or may be distributed to multiple network units. Some or all of the units may be selected according to actual needs to achieve the purpose of the solution of the embodiment.

In addition, each functional unit in each embodiment of the present invention may be integrated into one processing unit, or each unit may exist physically separately, or two or more units may be integrated into one unit. The above integrated unit can be implemented in the form of hardware or in the form of hardware plus software functional units.

The above-described integrated unit implemented in the form of a software functional unit can be stored in a computer readable storage medium. The above software functional unit is stored in a storage medium and includes instructions for causing a computer device (which may be a personal computer, a server, or a network device, etc.) or a processor to perform the methods of the various embodiments of the present invention. Part of the steps. The foregoing storage medium includes: a U disk, a mobile hard disk, a read-only memory (ROM), a random access memory (RAM), a magnetic disk, or an optical disk, and the like, which can store program codes. .

The above description is only the preferred embodiment of the present invention, and is not intended to limit the present invention. Any modifications, equivalent substitutions, improvements, etc. made within the spirit and principles of the present invention are It should be included in the scope of protection of the present invention.

Claims

A mathematical formula processing method, comprising:

Obtaining a main body object corresponding to the formula content, where the main body object includes a hierarchical relationship between the graphic object and the graphic object, and the hierarchical relationship between the graphic objects represents an operation sequence corresponding to the formula content, and the graphic object includes Operation type attribute and operand attribute;

Obtaining a mathematical expression corresponding to the graphic object according to a hierarchical relationship between the graphic objects, an operation type attribute of the graphic object, and an operand attribute of the graphic object;

And according to the hierarchical relationship between the graphic objects, the mathematical expression corresponding to the graphic object is drawn into the page to obtain a mathematical formula corresponding to the formula content.
The method according to claim 1, wherein the obtaining the subject object corresponding to the formula content comprises:

Obtaining the content of the formula;

Decomposing the formula content into a non-redecomposable reference expression according to a preset decomposition rule;

The subject object is generated according to a hierarchical relationship between the reference expressions, a type of the reference expression, and an operand included by the reference expression.
The method according to claim 1, wherein the acquiring the subject object corresponding to the formula content comprises:

Providing an editing interface to the user in the page;

Acquiring an operation symbol or an operand in the formula content input by the user through the editing interface to generate the subject object.
The method according to claim 3, wherein the editing interface comprises: a visible editing area and a hidden editing area;

And acquiring the operation symbol or the operand in the formula content that is input by the user through the editing interface to generate the subject object, including:

And displaying an analog cursor indicating a current input position in the visible editing area according to an editing instruction issued by the user in the visible editing area, the simulated cursor moving along with a user input, and is related to the simulated cursor The associated system cursor is positioned to the hidden editing area to activate an input capture event;

And sequentially capturing an operation symbol or an operand in the formula content input by the user in the hidden editing area, and according to the current position of the system cursor and the captured operation symbol or operand in the initial empty object An operand in a graphic object and/or a graphic object is added to obtain the subject object.
The method according to claim 4, further comprising: after obtaining the subject object, further comprising:

Identifying a selection operation of the user, the selection operation refers to an operation of selecting a part of operands in the content of the formula;

Marking in the subject object according to a part of the operands in the formula content selected by the user;

Obtaining an operand that is re-entered by the user in an area selected by the selection operation, and replacing the marked operand on the subject object with the re-entered operand.
The method according to any one of claims 1 to 5, wherein the obtaining is based on a hierarchical relationship between the graphic objects, an operation type attribute of the graphic object, and an operand attribute of the graphic object. The mathematical expression corresponding to the graphic object includes:

Determining the graphic object one by one according to a hierarchical relationship between the graphic objects from bottom to top;

Graphic drawing is performed according to the operation type attribute and the operand attribute of the graphic object to obtain a mathematical expression corresponding to the graphic object.
The method according to any one of claims 1-5, wherein the subject object corresponding to the formula content is a formula syntax tree corresponding to the formula content.
A mathematical formula processing device, comprising:

An acquiring module, configured to acquire a body object corresponding to the formula content, where the body object includes a hierarchical relationship between the graphic object and the image object, and the hierarchical relationship between the graphic objects represents an operation sequence corresponding to the formula content, The graphic object includes an operation type attribute and an operand attribute;

a processing module, configured to obtain a mathematical expression corresponding to the graphic object according to a hierarchical relationship between the graphic objects, an operation type attribute of the graphic object, and an operand attribute of the graphic object;

And a drawing module, configured to draw a mathematical expression corresponding to the graphic object into a page according to a hierarchical relationship between the graphic objects, to obtain a mathematical formula corresponding to the formula content.
The device according to claim 8, wherein the obtaining module is specifically configured to:

Obtaining the content of the formula;

Decomposing the formula content into a non-redecomposable reference expression according to a preset decomposition rule;

The subject object is generated according to a hierarchical relationship between the reference expressions, a type of the reference expression, and an operand included by the reference expression.
The apparatus according to claim 8, wherein said acquisition module is specific Used for:

Providing an editing interface to the user in the page;

Acquiring an operation symbol or an operand in the formula content input by the user through the editing interface to generate the subject object.
The device according to claim 10, wherein the editing interface comprises: a visible editing area and a hidden editing area;

The obtaining module is specifically configured to:

Providing the editing interface to the user in the page;

And displaying an analog cursor indicating a current input position in the visible editing area according to an editing instruction issued by the user in the visible editing area, the simulated cursor moving along with a user input, and is related to the simulated cursor The associated system cursor is positioned to the hidden editing area to activate an input capture event;

And sequentially capturing an operation symbol or an operand in the formula content input by the user in the hidden editing area, and according to the current position of the system cursor and the captured operation symbol or operand in the initial empty object An operand in a graphic object and/or a graphic object is added to obtain the subject object.
The device according to claim 11, further comprising:

An identification module, configured to identify a selection operation of the user, where the selection operation refers to an operation of selecting a part of operands in the content of the formula;

a marking module, configured to mark in the main body object according to a part of the operands in the formula content selected by the user;

An update module, configured to acquire an operand re-entered by the user in an area selected by the selection operation, and replace the marked object on the subject object with the re-entered operand Operands.
The device according to any one of claims 8 to 12, wherein the processing module is specifically configured to:

Determining the graphic object one by one according to a hierarchical relationship between the graphic objects from bottom to top;

Graphic drawing is performed according to the operation type attribute and the operand attribute of the graphic object to obtain a mathematical expression corresponding to the graphic object.
The apparatus according to any one of claims 8 to 12, wherein the subject object corresponding to the formula content is a formula syntax tree corresponding to the formula content.
a device, including

One or more processors;

Memory

One or more programs, the one or more programs being stored in the memory, when executed by the one or more processors:

Obtaining a main body object corresponding to the formula content, where the main body object includes a hierarchical relationship between the graphic object and the graphic object, and the hierarchical relationship between the graphic objects represents an operation sequence corresponding to the formula content, and the graphic object includes Operation type attribute and operand attribute;

Obtaining a mathematical expression corresponding to the graphic object according to a hierarchical relationship between the graphic objects, an operation type attribute of the graphic object, and an operand attribute of the graphic object;

And according to the hierarchical relationship between the graphic objects, the mathematical expression corresponding to the graphic object is drawn into the page to obtain a mathematical formula corresponding to the formula content.
A non-volatile computer storage medium storing one or more programs, when the one or more programs are executed by a device, Description of equipment:

Obtaining a main body object corresponding to the formula content, where the main body object includes a hierarchical relationship between the graphic object and the graphic object, and the hierarchical relationship between the graphic objects represents an operation sequence corresponding to the formula content, and the graphic object includes Operation type attribute and operand attribute;

Obtaining a mathematical expression corresponding to the graphic object according to a hierarchical relationship between the graphic objects, an operation type attribute of the graphic object, and an operand attribute of the graphic object;

And according to the hierarchical relationship between the graphic objects, the mathematical expression corresponding to the graphic object is drawn into the page to obtain a mathematical formula corresponding to the formula content.