WO2016095502A1 - Procédé de traitement de formule mathématique, dispositif, appareil et support de stockage informatique - Google Patents

Procédé de traitement de formule mathématique, dispositif, appareil et support de stockage informatique Download PDF

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Publication number
WO2016095502A1
WO2016095502A1 PCT/CN2015/083534 CN2015083534W WO2016095502A1 WO 2016095502 A1 WO2016095502 A1 WO 2016095502A1 CN 2015083534 W CN2015083534 W CN 2015083534W WO 2016095502 A1 WO2016095502 A1 WO 2016095502A1
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Prior art keywords
formula
graphic
operand
graphic object
user
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PCT/CN2015/083534
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English (en)
Chinese (zh)
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韩聪
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百度在线网络技术（北京）有限公司
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Priority to JP2017526093A priority Critical patent/JP6866551B2/ja
Priority to KR1020177013186A priority patent/KR101950126B1/ko
Publication of WO2016095502A1 publication Critical patent/WO2016095502A1/fr

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    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10—Complex mathematical operations

Definitions

  • 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.
  • 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.
  • HTML HyperText Mark-up Language
  • CSS Cascading Style Sheets
  • the server saves the content input by the user as it is.
  • 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.
  • 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.
  • a mathematical formula processing method 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;
  • the mathematical expression corresponding to the graphic object is drawn into the page to obtain a mathematical formula corresponding to the formula content.
  • a mathematical formula processing apparatus 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;
  • 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 formula content is represented by the body object
  • 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.
  • FIG. 1 is a schematic flowchart diagram of a mathematical formula processing method according to an embodiment of the present invention
  • FIG. 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. 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.
  • 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:
  • 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.
  • 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.
  • the formula content can be input by the user, but is not limited thereto.
  • the embodiment does not limit the representation of the formula content.
  • the user can enter the formula content in a "formula representation" supported by the browser.
  • 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.
  • the hierarchical body object may be a formula syntax tree, which is actually a syntax tree for identifying mathematical formulas.
  • the subject object corresponding to the formula content may be pre-generated and stored in the specified storage space.
  • the mathematical formula processing device may directly obtain the specified storage space. The subject object.
  • the formula content may be pre-acquired and stored in a specified storage space.
  • 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.
  • 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.
  • 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.
  • the above reference expression will relatively locate the elements contained inside according to its display effect in the mathematical formula.
  • 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.
  • 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.
  • 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.
  • a two-text expression is obtained by decomposing the expression with the number 3, that is, two sub-expressions labeled 1 and 2.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • the hidden editing area is hidden.
  • 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.
  • 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:
  • 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.
  • an input capture event with the label 1 hidden edit area will be triggered.
  • 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.
  • 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.
  • 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 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.
  • 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.
  • 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 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 position between the two solid lines in Fig. 12 is the position of the original selection area in Fig. 11.
  • the original selection area is "closed"
  • the content contained in the original selection area is deleted
  • the new closed area is closed.
  • the new content was inserted before the selection, which is "-".
  • 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.
  • 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.
  • 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” ].
  • 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.
  • 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.
  • 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.
  • the graphic object 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.
  • 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.
  • 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.
  • drawing technology used in this embodiment may be an SVG drawing technology, but is not limited thereto.
  • 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.
  • 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.
  • the obtaining module 1301 is specifically configured to:
  • 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.
  • the obtaining module 1301 is specifically configured to:
  • the operands or operands in the formula content entered by the user through the editing interface are sequentially acquired to generate a subject object.
  • the editing interface includes: a visible editing area and a hidden editing area.
  • the obtaining module 1301 can be specifically used to:
  • 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 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 mathematical formula processing apparatus 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.
  • 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.
  • 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 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 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.
  • the disclosed system, apparatus, and method may be implemented in other manners.
  • 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.
  • 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.
  • 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. .

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Abstract

L'invention porte sur un procédé de traitement de formule mathématique, sur un dispositif, sur un appareil et sur un support de stockage informatique, le procédé consistant à : acquérir un objet correspondant au contenu d'une formule, l'objet comprenant des objets d'image et une relation hiérarchique entre les objets d'image, la relation hiérarchique entre les objets d'image représentant une séquence de calcul correspondant au contenu de la formule, et les objets d'image comprenant un attribut de type de calcul et un attribut d'opérande (101); selon la relation hiérarchique entre les objets d'image, et l'attribut de type de calcul et l'attribut d'opérande des objets d'image, acquérir une expression mathématique correspondant aux objets d'image (102); et selon la relation hiérarchique entre les objets d'image, établir l'expression mathématique correspondant aux objets d'image sur une page pour obtenir une formule mathématique correspondant au contenu de la formule (103), ce qui permet de traiter le problème selon lequel la formule mathématique est réalisée par le style CSS de la page, et d'améliorer la stabilité d'affichage de la formule mathématique.
PCT/CN2015/083534 2014-12-17 2015-07-08 Procédé de traitement de formule mathématique, dispositif, appareil et support de stockage informatique WO2016095502A1 (fr)

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JP2017526093A JP6866551B2 (ja) 2014-12-17 2015-07-08 数式処理方法、装置、デバイス及びプログラム
KR1020177013186A KR101950126B1 (ko) 2014-12-17 2015-07-08 수학공식 처리방법, 장치, 설비 및 컴퓨터 저장 매체

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