CN102393818A - Digital function graph drawing method - Google Patents
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- CN102393818A CN102393818A CN2011102057706A CN201110205770A CN102393818A CN 102393818 A CN102393818 A CN 102393818A CN 2011102057706 A CN2011102057706 A CN 2011102057706A CN 201110205770 A CN201110205770 A CN 201110205770A CN 102393818 A CN102393818 A CN 102393818A
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Abstract
The invention provides a digital function graph drawing method, which comprises the following steps of: creating a canva window, receiving a function expression formula input by a user, and a to-be-drawn function graph X-axis interval definitional domain; analyzing the function expression formula to obtain a symbol of an operator of the function expression formula and a symbol of a function name; judging whether the expression formula input by the user is a legitimate infix expression formula or not according to the format of an infix expression formula, if not, giving out a prompting window and exiting, and if so, analyzing a suffix expression formula; computing function values corresponding to points in the function graph X-axis interval definitional domain, simultaneously, forming a series of point coordinates by the points in the definitional domain and the function values corresponding to the points; and drawing a to-be-drawn function graph through a graph function interface provided by a 2D (the 2nd-dimensional) drawing library. According to the invention, the function expression formula input by the user and the to-be-drawn graph X-axis interval definitional domain are realized, the function graph required is automatically drawn, and convenience is provided for the teaching of teachers.
Description
[technical field]
The present invention relates to computer software fields, relate in particular to a kind of digital function pattern drawing method.
[background technology]
" infix expression " that the present invention told about; The concrete characteristics of " postfix expression " " simple data structure " these chapters and sections in " algorithm and the data structure " of peaceful positive element work have detailed introduction, and wherein expression formula is divided into three kinds of forms: infix expression, postfix expression, prefix expression.
Infix expression: operational symbol is placed in the middle of two operands, as: (2+1) * 3;
Postfix expression: do not comprise bracket, operational symbol is placed on the back of two operands, the order that all calculating occurs by operational symbol, strictness carry out from left to right (no longer consider the priority rule of operational symbol, as: 2 1+3 *);
Prefix expression: the same with postfix expression, do not comprise bracket, operational symbol is placed on the front of two operands, as: *+2 13.
The algorithm thought that at present converts infix expression into postfix expression is to accomplish by means of stack in the data structure and team, and its overall algorithm thought is following: directly deliver in the output queue when reading numeral; When reading operational symbol t, the operational symbol that all priority in the stack is greater than or equal to t ejects, and delivers in the output queue; When reading left parenthesis, always it is pressed in the stack; When reading right parenthesis, will all eject successively near first operational symbol above left parenthesis of stack top, deliver to output queue after, abandon left parenthesis again; Accomplish infix expression at last and convert postfix expression into.
The specific practice that the utilization postfix expression calculates is following:
At first, set up a stack S;
Secondly, from left to right read postfix expression, read numeral and just convert it into numerical value and be pressed among the stack S, read operational symbol and then from stack, eject two numbers successively and give variable Y and X respectively, the form computing machine with " X operational symbol Y " goes out the result then, and pressure adds among the stack S again;
At last, if postfix expression does not run through, just repeat top process, the numerical value of exporting stack top at last is then for finishing.
Along with developing rapidly of computing machine, relevant mapping software also arises at the historic moment.At present a lot of softwares have been realized can the visual function of explicit function.Making a general survey of these software, all is pre-designed several kinds of fixing functions, that is to say that software can only show the graph of function picture that these are pre-designed.Yet in practical application, the user often need import the expression formula of a function, and given function figure X axle section definition territory, and software just can directly provide the pairing functional image of expression formula.Implementation method just compares hommization like this, and makes things convenient for teacher's teaching.
[summary of the invention]
The technical matters that the present invention will solve is to provide a kind of digital function pattern drawing method, as long as function expression of user's input and the functional digraph X axle section definition territory that will draw can be drawn out desired functional digraph automatically.
The present invention is achieved in that a kind of digital function pattern drawing method, comprises the steps:
The point coordinate of step 50, the functional digraph that will draw of trying to achieve according to step 40, the picture function interface that utilizes the 2D draw library of operating system to provide, the functional digraph that will draw come out with smooth curve plotting.
Through the stack method in the data structure, try to achieve the functional value that each point is corresponding on the functional digraph X axle section definition territory and specifically comprise following method in the wherein said step 40:
Step 41, set up a data structure stack S, and defining variable M, N;
Step 42, from left to right read said postfix expression; Just be converted into numerical value and be pressed among the stack S when reading numeral, then from stack, eject two numerical value successively and distribute to variable M and N respectively when reading operational symbol, the form with M operational symbol N calculates the result then; Press again and add among the stack S; Then from stack, eject a numerical value and distribute to variable M when reading the function name symbol, the form with the function name symbol M calculates the result then, presses to add among the stack S again;
If step 43 postfix expression does not run through, with regard to the process of repeating step 42, the data of exporting stack top at last then are the corresponding functional value of point on the field of definition.
The present invention has following advantage: the present invention receives function expression of user's input and the functional digraph X axle section definition territory that will draw through the painting canvas window; Analytical function is expressed formula, obtains the operational symbol symbol of function expression, the function name symbol; And the infix expression of function expression resolved to postfix expression; Through the stack method in the data structure, try to achieve the corresponding functional value of each point on the functional digraph X axle section definition territory; The picture function interface that provides with the 2D draw library of operating system at last, the explicit function figure.The present invention has realized drawing out desired functional digraph automatically, for teachers ' teaching provides convenience by function expression of user's input and the functional digraph X axle section definition territory that will draw.
[description of drawings]
Fig. 1 is the inventive method schematic flow sheet.
[embodiment]
Please with reference to shown in Figure 1, a kind of digital function pattern drawing method comprises the steps:
The point coordinate of step 50, the functional digraph that will draw of trying to achieve according to step 40, the picture function interface that utilizes the 2D draw library of operating system to provide, the functional digraph that will draw come out with smooth curve plotting.
Through the stack method in the data structure, try to achieve the functional value that each point is corresponding on the functional digraph X axle section definition territory and specifically comprise following method in the wherein said step 40:
Step 41, set up a data structure stack S, and defining variable M, N;
Step 42, from left to right read said postfix expression; Just be converted into numerical value and be pressed among the stack S when reading numeral, then from stack, eject two numerical value successively and distribute to variable M and N respectively when reading operational symbol, the form with M operational symbol N calculates the result then; Press again and add among the stack S; Then from stack, eject a numerical value and distribute to variable M when reading the function name symbol, the form with the function name symbol M calculates the result then, presses to add among the stack S again;
If step 43 postfix expression does not run through, with regard to the process of repeating step 42, the data of exporting stack top at last then are the corresponding functional value of point on the field of definition.
Below in conjunction with a specific embodiment whole operation process of the present invention is elaborated:
Function expression of supposing user's input is: sin (x+3), and its X axle section definition territory is (3,3), then handles as follows:
At first, parse by the sin (x+3) of user input: function name symbol sin, (, x ,+, 3), our infix expression of wanting just, promptly infix expression is sin (x+3),
Secondly, infix expression is resolved to postfix expression: x, 3 ,+, sin;
Suppose to require the point 2 on the X axle section definition territory (3,3) this moment, then infix expression is that x is an argument of function among the sin (x+3), and value is 2, just makes x=2; Sin is that we discern the function (sin, cos, abs, sqrt, sqr, tran etc.) in the storehouse, its postfix expression: 2,3 ,+, sin; Then through the stack method in the data structure, the functional values of trying to achieve point 2 correspondences on the functional digraph X axle section definition territory specifically comprise following method:
Step 41, set up a data structure stack S, and defining variable M, N;
Step 42, from left to right read said postfix expression: 2,3 ,+, sin; Just be converted into numerical value and be pressed among the stack S when reading numeral 2, just be converted into numerical value and also be pressed among the stack S when reading numeral 3; When read operational symbol+; Then from stack, eject two numerical value (2,3) successively and distribute to variable M=2 and N=3 respectively, calculating the result with the form (being 2+3) of M operational symbol N then is 5; Press again and add among the stack S; Then from stack, eject a numerical value and promptly 5 distribute to variable M when reading function name symbol sin, then M=5 calculates result-0.96 with the form (being sin5) of function name symbol M then, presses to add among the stack S again; The data of exporting stack top at last then are the corresponding functional value of point on the field of definition, and will put 2 and form coordinate (2 ,-0.96) with point 2 corresponding functional values-0.96.
At last, calculate X axle section definition territory (3,3) respectively with this principle and go up other the corresponding functional value of point; Each point on the field of definition and the corresponding functional value of each point are formed the series of points coordinate.
According to the point coordinate of the above-mentioned functional digraph that will draw of trying to achieve, the picture function interface that utilizes the 2D draw library of operating system to provide, the functional digraph that will draw come out with smooth curve plotting.
The above is merely preferred embodiment of the present invention, and all equalizations of doing according to claim of the present invention change and modify, and all should belong to covering scope of the present invention.
Claims (2)
1. a digital function pattern drawing method is characterized in that: comprise the steps:
Step 10, establishment project engineering are created a painting canvas window in said project engineering;
Step 20, painting canvas window receive function expression of user's input and the functional digraph X axle section definition territory that will draw;
Step 30, in the painting canvas window, parse function expression of user input, obtain the operational symbol symbol of function expression, the function name symbol; And the expression formula legal infix expression whether that comes the judges input of the form through infix expression, if illegal, then provide prompt window, and withdraw from; If legal, then parse postfix expression;
Step 40, the functional digraph X axle section definition territory that utilizes the user to import to draw; And the postfix expression that parses; Method through the data structure stack; Try to achieve the corresponding functional value of each point on the functional digraph X axle section definition territory, simultaneously each point on the field of definition and the corresponding functional value of each point are formed the series of points coordinate;
The point coordinate of step 50, the functional digraph that will draw of trying to achieve according to step 40, the picture function interface that utilizes the 2D draw library of operating system to provide, the functional digraph that will draw come out with smooth curve plotting.
2. digital function pattern drawing method according to claim 1 is characterized in that: through the stack method in the data structure, try to achieve the functional value that each point is corresponding on the functional digraph X axle section definition territory and specifically comprise following method in the said step 40:
Step 41, set up a data structure stack S, and defining variable M, N;
Step 42, from left to right read said postfix expression; Just be converted into numerical value and be pressed among the stack S when reading numeral, then from stack, eject two numerical value successively and distribute to variable M and N respectively when reading operational symbol, the form with M operational symbol N calculates the result then; Press again and add among the stack S; Then from stack, eject a numerical value and distribute to variable M when reading the function name symbol, the form with the function name symbol M calculates the result then, presses to add among the stack S again;
If step 43 postfix expression does not run through, with regard to the process of repeating step 42, the data of exporting stack top at last then are the corresponding functional value of point on the field of definition.
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Cited By (10)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN105243049A (en) * | 2015-10-15 | 2016-01-13 | 武汉筑信科技有限公司 | Method for reading-in, analyzing and calculating mathematical function expression based on executable file of stack |
| CN105955725A (en) * | 2016-04-22 | 2016-09-21 | 南京南瑞继保电气有限公司 | Dynamic graph implementation method |
| CN107832271A (en) * | 2017-10-31 | 2018-03-23 | 广州视睿电子科技有限公司 | Functional image method for drafting, device, equipment and computer-readable storage medium |
| CN108062372A (en) * | 2017-12-12 | 2018-05-22 | 北京百度网讯科技有限公司 | image generating method and device based on artificial intelligence |
| CN108288298A (en) * | 2018-01-23 | 2018-07-17 | 广州视源电子科技股份有限公司 | Method for drafting, device, computer equipment and the storage medium of functional image |
| CN108520068A (en) * | 2018-04-13 | 2018-09-11 | 卓易法智（上海）网络科技有限公司 | User report generation method, device, storage medium and terminal device |
| CN108563610A (en) * | 2017-07-28 | 2018-09-21 | 上海云角信息技术有限公司 | A kind of mathematical function CAI software based on mixed reality |
| CN109388773A (en) * | 2018-09-14 | 2019-02-26 | 北京金双狐油气技术有限公司 | A kind of figure coordinate operation method and device |
| CN111708540A (en) * | 2020-04-30 | 2020-09-25 | 北京配天技术有限公司 | Variable parameter function analysis method, analyzer and storage device |
| CN112446001A (en) * | 2020-11-05 | 2021-03-05 | 西安中科星图空间数据技术有限公司 | Waveband calculation method and device suitable for distributed architecture and storage medium |
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| CN108563610A (en) * | 2017-07-28 | 2018-09-21 | 上海云角信息技术有限公司 | A kind of mathematical function CAI software based on mixed reality |
| CN107832271A (en) * | 2017-10-31 | 2018-03-23 | 广州视睿电子科技有限公司 | Functional image method for drafting, device, equipment and computer-readable storage medium |
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| CN109388773A (en) * | 2018-09-14 | 2019-02-26 | 北京金双狐油气技术有限公司 | A kind of figure coordinate operation method and device |
| CN111708540A (en) * | 2020-04-30 | 2020-09-25 | 北京配天技术有限公司 | Variable parameter function analysis method, analyzer and storage device |
| CN111708540B (en) * | 2020-04-30 | 2023-11-28 | 北京配天技术有限公司 | Variable parameter function analysis method, analyzer and storage device |
| CN112446001A (en) * | 2020-11-05 | 2021-03-05 | 西安中科星图空间数据技术有限公司 | Waveband calculation method and device suitable for distributed architecture and storage medium |
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Application publication date: 20120328 |