CN110737863A - Configuration method and system of mathematical expression - Google Patents
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Abstract
The invention provides a configuration method and a configuration system of mathematical expressions, which belong to the technical field of configuration of mathematical expressions, wherein the configuration method of the mathematical expressions comprises the steps of scanning each elements in the mathematical expressions, executing or more of the following operations under the condition that the types of the scanned elements are operands to calculate the results of the mathematical expressions, converting dividends or divisors into floating point types under the condition that the types of the scanned elements are operands and dividends or divisors, and setting illegal values to zero under the condition that the types of the scanned elements are operands and illegal values.
Description
Technical Field
The invention relates to a configuration technology of a mathematical expression, in particular to a configuration method and a configuration system of the mathematical expression.
Background
In a multidimensional index profiling system, there are many basic indexes, such as click rate, exposure, visit rate, order amount, cost, etc., and budgets are often required based on these basic indexes when multidimensional profiling is performed, such as calculation of mathematical expressions (click rate/exposure +100) cost, and in practical applications, a common method is to convert such mathematical expressions into SQL statements (database query statements) for analysis.
The current technology is to substitute the basic index into the mathematical expression to calculate, however, if the basic index in the mathematical expression has NULL value (NULL in the program), for example, the exposure amount in the above-described expression is zero, or any of the click rate, exposure amount and cost is NULL, then an error will be reported when inquiring, and the system is abnormal, so that the corresponding data cannot be obtained.
In some applications, users write SQL statements by themselves, that is, the SQL statements after the mathematical expression is converted, so that the users need to convert the mathematical expression into the SQL statements by themselves, the cost is undoubtedly quite high, the design which the products should have is not, and the adoption of such a method is also unreasonable.
Disclosure of Invention
The invention aims to provide a configuration method and a configuration system of a mathematical expression, which are used for solving the problem that an accurate calculation result of the mathematical expression cannot be obtained.
To achieve the above object, the present invention provides a configuration method of mathematical expressions, which includes scanning each elements in the mathematical expression, performing or more of the following operations in case that the type of the scanned elements is an operand, to calculate a result of the mathematical expression, in case that the type of the scanned elements is an operand and is a dividend or a divisor, converting the dividend or the divisor into a floating point type, and in case that the type of the scanned elements is an operand and is an illegal value, setting the illegal value to zero.
Preferably, the method further comprises converting the mathematical expression to inverse wave form, wherein scanning every elements in the mathematical expression comprises scanning every elements in the inverse wave form from front to back, converting the dividend or the divisor to a floating point type in the case that the scanned elements are operands and are dividends or divisors comprises placing the dividends or the divisors into a stack after converting the dividends or the divisors into the floating point type, and placing the illegal values to zero in the case that the scanned elements are operands and illegal values comprises placing the illegal values to a stack after zeroing the illegal values.
Preferably, the method further comprises: and under the condition that the type of the scanned element is an operator, popping up the element at the top of the stack and the second element of the stack for corresponding operation, and then putting the operation result into the stack.
Preferably, in the case that the type of the scanned element is an operator, popping up an element at the top of the stack and a second element of the stack for corresponding operation, and then placing an operation result into the stack, the method includes: under the condition that the type of the scanned element is an operator and is a division number, popping up an element at the top of the stack and a second element of the stack for division operation, and then putting an operation result into the stack; wherein the element at the top of the stack is a divisor and the second element is a dividend.
Preferably, the method further comprises: and under the condition that the type of the scanned elements is an operator and the scanned elements are division numbers, judging whether the divisor is a zero value, and under the condition that the divisor is the zero value, setting the division operation result of the divisor to zero and then placing the division operation result into a stack, wherein the result in the stack after all the elements in the mathematical expression are scanned and operated is the result of the mathematical expression.
Preferably, the method further comprises recording the divisors and zeroing the result of the mathematical expression if at least of the recorded divisors have a zero value.
Preferably, the method further comprises: and taking the result of the mathematical expression as a query statement.
Accordingly, the invention also provides a configuration system of mathematical expressions, comprising a scanning module for scanning each elements of the mathematical expression, and a processing module for performing or more of the following operations in the case that the type of the scanned elements is an operand, to calculate the result of the mathematical expression, in the case that the type of the scanned elements is an operand and is a dividend or divisor, converting the dividend or the divisor into a floating point type, and in the case that the type of the scanned elements is an operand and is an illegal value, zeroing the illegal value.
Accordingly, the present invention also provides processors for performing the above-described method.
Accordingly, the present invention also provides machine-readable storage media having instructions stored thereon for causing a machine to perform the above-described method.
Through the technical scheme, the dividend or divisor and the illegal value in the mathematical expression are processed when the result of the mathematical expression is calculated according to the inverse wavelet formula of the mathematical expression, so that the mathematical expression can obtain a correct calculation result, and the accuracy of analyzing the mathematical expression is greatly improved.
Additional features and advantages of embodiments of the invention will be set forth in the detailed description which follows.
Drawings
The accompanying drawings are included to provide a further understanding of embodiments of the invention and are incorporated in and constitute a part of this specification , which together with the following detailed description serve to explain, but are not to limit, embodiments of the invention.
FIG. 1 is a block flow diagram of a method of configuring a mathematical expression provided by the present invention;
FIG. 2 is a flow chart of a process for calculating a mathematical expression provided by the present invention; and
FIG. 3 is a block diagram of a system for configuring mathematical expressions provided by the present invention.
Detailed Description
The following detailed description of embodiments of the invention refers to the accompanying drawings. It should be understood that the detailed description and specific examples, while indicating embodiments of the invention, are given by way of illustration and explanation only, not limitation.
FIG. 1 is a flow chart of a method of configuring a mathematical expression provided by the present invention, as shown in FIG. 1, the method including scanning elements each in the mathematical expression (step 101), performing or more of the following operations in the case where the type of the scanned element is an operand, converting a dividend or divisor to a floating point type in the case where the type of the scanned element is an operand and is a dividend or divisor (step 102), and setting an illegal value to zero in the case where the type of the scanned element is an operand and is an illegal value (step 103), to calculate a result of the mathematical expression.
In the case of division in a mathematical expression, if both dividends and divisors are integer type, which may result in inaccurate calculation results, in the technical solution provided by the present invention, each elements in the mathematical expression are scanned, which includes all operands and operators, and in the case of scanning operands that are dividends or divisors, the dividends or divisors are converted into floating point type.
In the technical scheme provided by the invention, every elements in the mathematical expression are scanned, wherein each element comprises all operands and operators, and the illegal value is set to zero when the operands are scanned and is the illegal value, for example, the illegal value is set to zero when the operands are scanned.
It will be appreciated by those skilled in the art that in calculating the result of the mathematical expression by machine, often the inverse wave form of the mathematical expression is calculated, and further the method of configuring the mathematical expression provided by the present invention further comprises converting the mathematical expression to an inverse wave form, wherein scanning every elements of the mathematical expression comprises scanning every elements of the inverse wave form from front to back, converting the dividend or divisor to a floating point form comprises placing the dividend or divisor onto a stack after converting the dividend or divisor to a floating point form, and placing the illegal value to zero comprises placing the illegal value onto a stack after zeroing the illegal value, in the event the scanned elements are operands and the illegal value.
The configuration method of the mathematical expression provided by the invention further comprises the following steps: and under the condition that the type of the scanned element is an operator, popping up the element at the top of the stack and the second element of the stack for corresponding operation, and then putting the operation result into the stack.
The present mathematical expressions include an infix expression, a prefix expression, a suffix expression, etc., wherein the infix expression is general arithmetic or logical formula expressions, and a Reverse wave equation (RPN) is also called a suffix expression, which is expressions in which operators are written after operands, and a wave equation is also called a prefix expression, which is expressions in which operators are written before operands, and the specific method is to use a Reverse wave equation, i.e., to use a Reverse wave algorithm to convert the mathematical expression from an infix expression to a Reverse wave equation, for example, the mathematical expression is (a + B) 10/((C-D)/B) ", the Reverse wave equation is used to convert the infix expression to a Reverse wave equation" AB +10 CD-B/", which is a well-known algorithm in the art, and thus the Reverse wave equation can be implemented without reference to the present invention.
After converting the mathematical expression into the inverse wave blue form, the result of the mathematical expression is calculated according to the inverse wave blue form, taking the mathematical expression with the inverse wave blue form of "AB +10 CD-B//" as an example, every elements in the inverse wave blue form are scanned from front to back, the -th scanned elements are "a" and "a" are operands, and thus enter the stack, only "a" elements, the second scanned elements are "B" and "B" are operands, and also enter the stack, so that two elements "a" and "B" are present in the stack, only "B" is the top of the stack, "a" is the second element, the third scanned element is "+" and "B" is an operand, and thus the top element "B" and the second element "a" are popped up and "enter the stack after the stack is popped up, and only elements" a + B "and" B "are present in the stack, and the result of the nested scan is not particularly, and the result of the nested scan is not limited to the following, and it is understood that the result of the fact that the stack is calculated by the following method (the first, and the method of the first, and the second element of the method of the nested scan, and the method of performing the nested scan can be performed by which are not merely mentioned above-found that the method of performing the nested scan can be performed by the method of performing the nested scan can be performed by the method of performing the method of.
Under the condition that the type of the scanned element is an operator, popping up an element at the top of a stack and a second element of the stack for corresponding operation, and then putting an operation result into the stack, wherein the operation result comprises the following steps: under the condition that the scanned element is an operator and is a division number, popping up an element at the top of the stack and a second element of the stack for division operation, and then putting an operation result into the stack; wherein the element at the top of the stack is the divisor and the second element is the dividend.
Although it has been described above that the divisor or dividend needs to be converted into the floating point type in order to make the division operation result accurate, the present invention is not limited thereto, and both the divisor and dividend may be converted into the floating point type, specifically, the dividend and the dividend may be converted into the floating point type in , the divisor is converted into the floating point type, the dividend and the divisor are converted into the floating point type, the divisor and the dividend are popped up by the top element (divisor) and the second element (dividend) of the stack, the top element (divisor) and/or the second element (dividend) of the stack are converted into the floating point type before the division operation is performed, for example, in a case where the type of the scanned element is an operator and is a division number, and.
It should be understood that in the division operation, if the divisor is zero, the result of the machine-calculated division operation will be wrong, and to solve this problem, it can be set as follows: when the divisor is zero, the division result at which the divisor is located is zero.
The configuration method of the mathematical expression provided by the invention further comprises the following steps: and under the condition that the type of the scanned elements is an operator and the divisor is zero, judging whether the divisor is zero, and under the condition that the divisor is zero, setting the division operation result of the divisor to zero and then placing the division operation result into a stack, wherein the value in the stack after all the elements in the mathematical expression are scanned and operated is the result of the mathematical expression.
For example, for the mathematical expression a/B, the inverse wave is AB/, the th scan element "a" enters the stack, the second scan element "B" enters the stack, the element at the top of the stack at this time is "B", the second element is "a", in the case of the third scanned element "/", since "/" is an operator and is a division number, the element "B" at the top of the stack in the stack is a divisor, the second element "a" is a dividend, for example, in the case of the element "a" being NULL, "a" is zeroed before entering the stack, and since "a" is a dividend and "B" is a divisor, after "a" and/or "B" is converted to a floating point type when the element "/" is scanned, division operation is performed, then the result of the division operation is entered into the stack, steps, since "B" is a divisor, it is necessary to determine whether "B" is a zero, and in the case of "B" is a floating point, the result of the division operation is also entered when "a" is zeroed "(i.e., the division operation is also entered when the element" a "is zero").
Fig. 2 is a flowchart of an operation process of a mathematical expression provided by the present invention, and as shown in fig. 2, the flow includes:
At step 202, each elements in the inverse wave-blue are scanned from front to back.
In step 203, it is determined whether the type of the scanned element is an operand, if yes, step 204 is executed, and if no, step 206 is executed.
In step 204, it is determined whether the operand is an illegal value, such as NULL, and if so, step 205 is executed, and if not, step 215 is executed.
At step 206, the scanned elements are determined to be operators.
In step 208, the dividend is determined, with the second element in the stack being the dividend.
The dividend is converted to a floating point type 209, which is just an example, and the divisor may be converted to a floating point type, or both the divisor and dividend may be converted to a floating point type.
In step 210, a divisor is determined, and the element at the top of the stack in the stack is the divisor.
In step 211, it is determined whether the divisor is zero, if yes, step 213 is executed, and if no, step 215 is executed.
And step 212, performing division operation to obtain an operation result.
In step 213, the division result is set to zero, and in step 213, the division result may be directly set to zero, or may be set to zero after step 212.
And step 214, performing corresponding operation to obtain an operation result. For example, when the operator is "-", subtraction is performed to obtain an operation result.
It should be understood that the technical solution provided by the present invention can be applied to convert into SQL statements, for example, converting dividend into floating point type SQL statements is: CAST ([ dividend ] AS FLOAT), the SQL statement that converts NULL to a value of zero is: COALESCE ([ operand ], 0).
In addition, the configuration method of the mathematical expression provided by the invention further comprises the steps of recording the divisors, and setting the result of the mathematical expression to zero under the condition that at least of the recorded divisors have zero values, wherein in the case of , under the condition that the divisor has the zero value, the result of the division operation on the divisor only needs to be set to zero, but the result of the whole mathematical expression after the result of the division operation on the divisor is set to zero is not , so that the result of the mathematical expression can be set to zero under the condition that the divisor has the zero value, so that the attention of an operator can be attracted conveniently brought.
The configuration method of the mathematical expression provided by the invention further comprises the following steps: the result of the mathematical expression is taken as a query statement.
Here, the result in the stack after all the elements in the mathematical expression are scanned and operated on may be set as [ base SQL ], and assuming that there are two divisors, divisor 1 and divisor 2, respectively, the SOL statement constructed may be: case WHEN [ divisor 1] ═ 0then 0 WHEN [ divisor 2] then 0 ELSE [ base SQL ] END.
Fig. 3 is a block diagram of a configuration system of mathematical expressions provided by the present invention, as shown in fig. 3, the system includes a scanning module 301 and a processing module 302, wherein the scanning module 301 is configured to scan every elements in the inverse wave form, the processing module 302 is configured to perform or more of the following operations in case the type of the scanned element is an operand, convert a dividend or divisor into a floating point type in case the type of the scanned element is an operand and is a dividend or divisor, and set an illegal value to zero in case the type of the scanned element is an operand and is an illegal value, to calculate a result of the mathematical expression.
It should be noted that the specific details and benefits of the system for configuring mathematical expressions provided by the present invention are similar to the method for configuring mathematical expressions provided by the present invention, and are not described herein again.
Accordingly, the invention also provides processors, wherein the processor is used for executing the configuration method of the mathematical expression described above.
Accordingly, the present invention also provides machine-readable storage media having instructions stored thereon for causing a machine to perform the above-described method.
Although the embodiments of the present invention have been described in detail with reference to the accompanying drawings, the embodiments of the present invention are not limited to the details of the above embodiments, and various simple modifications can be made to the technical solutions of the embodiments of the present invention within the technical idea of the embodiments of the present invention, and the simple modifications all belong to the protection scope of the embodiments of the present invention.
It should be noted that the various features described in the above embodiments may be combined in any suitable manner without departing from the scope of the invention. In order to avoid unnecessary repetition, the embodiments of the present invention do not describe every possible combination.
Those skilled in the art will appreciate that all or part of the steps in the method according to the above embodiments may be implemented by instructing the relevant hardware through a program, where the program is stored in storage media, and includes several instructions for causing a single chip microcomputer, a chip or a processor (processor) to execute all or part of the steps in the method according to the embodiments of the present application.
In addition, any combination of various different implementation manners of the embodiments of the present invention is also possible, and the embodiments of the present invention should be considered as disclosed in the embodiments of the present invention as long as the combination does not depart from the spirit of the embodiments of the present invention.
Claims (10)
- A method for configuring a mathematical expression of types 1 and , the method comprising:scanning every elements in the mathematical expression;performing or more of the following operations to compute a result of the mathematical expression if the type of element scanned is an operand:converting the dividend or the divisor to a floating point type in a case where the type of the scanned element is an operand and is the dividend or the divisor;in the event that the type of element scanned is an operand and is an illegal value, the illegal value is zeroed out.
- 2. The method of claim 1, further comprising:converting the mathematical expression into an inverse wave form;wherein scanning each elements in the mathematical expression comprises scanning each elements in the inverse Polish from front to back;converting the dividend or the divisor to a floating point type in a case where the scanned elements are operands and are the dividend or the divisor comprises: converting the dividend or the divisor into a floating point type and then putting the floating point type into a stack; andin the event that the scanned element is an operand and is an illegal value, zeroing the illegal value comprises: and setting the illegal value to zero and then putting the value into a stack.
- 3. The method of claim 2, further comprising:and under the condition that the type of the scanned element is an operator, popping up the element at the top of the stack and the second element of the stack for corresponding operation, and then putting the operation result into the stack.
- 4. The method of claim 3, wherein if the type of the scanned element is an operator, popping the element at the top of the stack and the second element of the stack for corresponding operations, and then placing the operation result into the stack, comprises:under the condition that the type of the scanned element is an operator and is a division number, popping up an element at the top of the stack and a second element of the stack for division operation, and then putting an operation result into the stack;wherein the element at the top of the stack is a divisor and the second element is a dividend.
- 5. The method of claim 4, further comprising:and under the condition that the type of the scanned elements is an operator and the scanned elements are division numbers, judging whether the divisor is a zero value, and under the condition that the divisor is the zero value, setting the division operation result of the divisor to zero and then placing the division operation result into a stack, wherein the result in the stack after all the elements in the mathematical expression are scanned and operated is the result of the mathematical expression.
- 6. The method of claim 4, further comprising:recording the divisor; andin the case where at least of the recorded divisors are zero, the result of the mathematical expression is zeroed.
- 7. The method of any of claims 1-6, further comprising using the result of the mathematical expression as a query statement.
- A system for configuring a mathematical expression of the type 8, , the system comprising:a scanning module for scanning every elements in the mathematical expression, anA processing module to perform one or more of the following operations to compute a result of the mathematical expression if the type of the element scanned is an operand:converting the dividend or the divisor to a floating point type in a case where the type of the scanned element is an operand and is the dividend or the divisor;in the event that the type of element scanned is an operand and is an illegal value, the illegal value is zeroed out.
- A processor of , characterized in that the processor is adapted to perform the method of any of claims 1 to 7 to .
- A machine-readable storage medium having instructions stored thereon for causing a machine to perform the method of any of claims 1 to 7, the method comprising any of claims .
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Application publication date: 20200131 |