├── .gitignore
├── LICENSE
├── README.md
├── pom.xml
└── src
├── main
└── java
│ └── io
│ └── github
│ └── jarvisjin
│ └── finexpr
│ ├── expr
│ ├── ExprException.java
│ └── Expression.java
│ ├── function
│ └── Function.java
│ ├── operator
│ ├── DivideOperator.java
│ ├── MinusOperator.java
│ ├── MultiplyOperator.java
│ ├── Operator.java
│ ├── OperatorPrecedenceCode.java
│ ├── PlusOperator.java
│ ├── PowOperator.java
│ ├── UnaryMinusOperator.java
│ └── UnaryPlusOperator.java
│ └── token
│ ├── NumberToken.java
│ ├── ShuntingYard.java
│ ├── Token.java
│ ├── TokenType.java
│ └── Tokenizer.java
└── test
└── java
└── io
└── github
└── jarvisjin
└── finexpr
└── ExpressionTest.java
/.gitignore:
--------------------------------------------------------------------------------
1 | .DS_Store
2 | target/
3 | !.mvn/wrapper/maven-wrapper.jar
4 |
5 | ### STS ###
6 | .apt_generated
7 | .classpath
8 | .factorypath
9 | .project
10 | .settings
11 | .springBeans
12 | .eclipse
13 |
14 | ### IntelliJ IDEA ###
15 | .idea
16 | *.iws
17 | *.iml
18 | *.ipr
19 |
20 |
--------------------------------------------------------------------------------
/LICENSE:
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/README.md:
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1 | # FinExpr: an expression evaluator (support custom functions and variables)
2 | # FinExpr: 一个表达式计算工具(支持添加自定义函数和变量)
3 |
4 | ## Brief introduction
5 | FinExpr is an expression evaluator implemented by Java. Focus on precision, can be used in financial system.
6 |
7 | FinExpr是一个Java语言实现的表达式求值工具包。名称Fin是finance的缩写,注重于精度,适用于金融、计费、财务相关对金额精度敏感的系统。在计算时为了避免double类型的数据误差,默认均采用BigDecimal进行计算。
8 | Maven Repo: https://search.maven.org/artifact/io.github.jarvisjin/fin-expr/1.0.1/jar
9 |
10 | 要使用FinExpr,如果你使用Maven或者Gradle构建你的项目,只要按下面的方式在你的项目里引入依赖即可。
11 | 如果要查看项目,下载源码后,在IDE里按Maven工程导入即可。
12 |
13 | ## Usage
14 |
15 | #### Maven: add in pom.xml
16 | ```xml
17 |
18 | io.github.jarvisjin
19 | fin-expr
20 | 1.0.1
21 |
22 | ```
23 |
24 | #### Gradle: add in build.gradle
25 | ```gradle
26 | dependencies {
27 | ...
28 | compile 'io.github.jarvisjin:fin-expr:1.0.1'
29 | }
30 | ```
31 |
32 |
33 | Expression: io.github.jarvisjin.finexpr.expr.Expression
34 |
35 | Simple Example: 简单示例
36 |
37 | ```Java
38 | Expression e = new Expression("345000*0.0157");
39 | BigDecimal result = e.calculate(); // result 5416.5000
40 | ```
41 |
42 | Custom Function & Add variables: 使用自定义函数 min()、使用变量 x, y, a, b
43 |
44 | ```Java
45 | Expression e = new Expression("min(x,y) + a^b");
46 |
47 | // define function "min"
48 | e.addFunction(new Function("min", 2){
49 | @Override
50 | public BigDecimal apply(List args, MathContext mc) {
51 | if(args.get(0).compareTo(args.get(1))<0) {
52 | return args.get(0);
53 | }else {
54 | return args.get(1);
55 | }
56 | }
57 | });
58 |
59 | /*
60 | * set variables,
61 | * in this case:
62 | * the expression
63 | * = min(8.5,5.77) + 5^3
64 | * = 5.77 + 5^3
65 | * = 5.77 + 125
66 | * = 130.77
67 | */
68 | e.addVariable("x", new BigDecimal("8.5"));
69 | e.addVariable("y", new BigDecimal("5.77"));
70 | e.addVariable("a", new BigDecimal("5"));
71 | e.addVariable("b", new BigDecimal("3"));
72 |
73 | BigDecimal result = e.calculate(); // 130.77
74 |
75 | /*
76 | * set replaceOnDuplicate==true, to replace the value of x and b, then caculate again.
77 | * the expression
78 | * = -9 + 5^5
79 | * = -9 + 3125
80 | * = 3116
81 | *
82 | * if you don't want to use replaceOnDuplicate, you can use Expression.clearVariables() instead.
83 | * that function will clean all variables, and you need to reset all of the variables;
84 | */
85 | e.addVariable("x", new BigDecimal("-9"), true);
86 | e.addVariable("b", new BigDecimal("5"), true);
87 | result = e.calculate(); // 3116
88 | ```
89 |
90 | Custom Precision & RoundingMode: 自定义精度和舍入模式
91 |
92 | ```Java
93 | Expression e = new Expression("0.07*2.59", new MathContext(25,RoundingMode.HALF_UP));
94 | ```
95 |
96 | ## 实际应用场景:
97 |
98 | 例如自定义pmt函数:pmt函数是计算等额本息还款,每期还款金额的公式。
99 |
100 | ```Java
101 | Expression e = new Expression("pmt(0.1, 12, 10000)");
102 |
103 | e.addFunction(new Function("pmt", 3){
104 | @Override
105 | public BigDecimal apply(List args, MathContext mc) {
106 | // implement of pmt();
107 | // https://support.office.com/en-us/article/PMT-function-0214da64-9a63-4996-bc20-214433fa6441
108 | }
109 | });
110 | BigDecimal result = e.calculate(); // result: 计算借款10000元 12期还 年化利率10%,等额本息每期还款金额
111 |
112 | // 比如有计费公式是向贷款商户收取每期还款金额的 0.2%作为服务费, 则表达式Expression改成 0.002*pmt(利率, 期数, 本金) 即可
113 | Expression e = new Expression("0.002*pmt(0.1, 12, 10000)");
114 |
115 | ```
116 |
117 | 因此,FinExpr特别适用于费用计算、合作商佣金计算等等涉及不同合作方有较高计费规则差异化定制的需求场景
118 |
119 |
120 | ## Default Supported Operators
121 |
122 | | Operator | Description |
123 | | ------------- |:-------------:|
124 | | + | Additive operator / Unary plus |
125 | | - | Subtraction operator / Unary minus|
126 | | * | Multiplication operator |
127 | | / | Division operator |
128 | | ^ | Power operator |
129 |
130 | you can add custom operators by addOperator();
131 |
132 | Tips: currently the symbol of operator can only be one character.
133 |
134 |
135 | ## Background
136 |
137 | 我在公司做计费相关模块时,有这样的需求,对于一笔贷款,在贷款的生命周期的各个阶段都需要收取一定的手续费/服务费/保证金等费用。
138 | 而对于来自不同商户、不同类型的贷款收费规则也差异较大。比如保证金计算公式 pv\*0.0157 (pv是贷款本金,0.0157是保证金比例),比如每期服务费公式0.01\*PMT(rate, n, pv, 0, false) (PMT是金融相关的函数,Excel里也内置了该公式)。 所以我们就需要一个让业务人员可以自定义编辑计费表达式的系统(在这个系统之前是通过Excel公式批量手工处理的)。 一开始公司代码库里有个用Spring EL实现的表达式计算公共Jar包。所以这个表达式计算需求就使用这个现成的Jar包实现了。
139 |
140 | 直到一次测试时,发现一笔保证金少收了1分钱,当时一笔贷款金额为 3450元,保证金计算公式是 pv\*0.0157 很简单。然而 3450\*0.0157实际应该等于 54.165元,业务人员规定计算结果按四舍五入精确到分,应收54.17元保证金。 然而在系统里 3450\*0.0157=54.16499999999999 当四舍五入精确到分时则变成了54.16元。
141 |
142 | 当然如果是简单的 pv\*0.0157这样的乘法,那么很好解决,把公式换成 pv\*157/10000.0, 或者把参与计算的数值都换成BigDecimal就可以了。但是业务的需求需要配置几百个甚至数千个不同的复杂的公式,还包括对pmt、ipmt、ppmt等金融公式和自定义函数。而Spring EL并不支持BigDecimal, 并且在表达式里的字面常量的精度是最小满足的, 比如如果公式里包含 3/10,那在Spring El里它的表示的值是0,而不是0.3,因为都是整数,这对于那些不是计算机相关专业的负责配置计费公式的业务人员来说简直是灾难。
143 |
144 | 因为排期问题,首先选择的临时解决方案是在配公式时注意参与计算的小数 比如 0.0157 都写成 157/10000.0 。当然这个方案很容易出错,不是长久之计。
145 | 后续准备选择更换表达式计算引擎,选择支持BigDecimal的框架。
146 | 然而调研了十几个主流的表达式求值工具,均不能完全满足需求。
147 | 比如 Ognl、MVE、JSEL 这些类脚本语言,以及 exp4j、expr4j、Aviator等等。
148 | 这些工具使用BigDecimal的话需要在表达式里对每个数值手动标识,不能兼容系统已有的几百个表达式,
149 | 对于自定义函数支持也不方便,需要在表达式里写成JavaClass.method()或javaObject.method(), 这需要对系统里历史的所有公式按新框架要求修改,而且对于配公式的业务人员来说这样的方式也比较怪异,他们习惯的是和Excel里一样的公式使用方式。
150 |
151 | 后来发现一款优秀的表达式计算工具 **[EvalEx](https://github.com/uklimaschewski/EvalEx)** 这个工具计算全程采用BigDecimal, 对于表达式里的字面量比如 35.6\*12.3 会自动识别构造成BigDecimal去计算。对于用户自定义的变量参数比如 3\*var , var可以需要传入一个BigDecimal变量。而且可以很方便的自定义函数,从而实现了和在Excel里计算表达式一样的简捷功能, 比如通过自定义加入pmt公式, 可以直接计算表达式"pmt(rate, n, pv)"。
152 |
153 | 但是EvalEx也有些许小小的缺陷,比如为了追求“handy”,EvalEx所有类都作为内部类放在一个Java文件里。EvalEx自定义函数时 Function类不是静态类,是内部非静态类,导致每次创建不同的公式都需要新建匿名类,在并发较高时可能会产生性能问题。 而作者为了兼容已有系统 不打算接受更改。EvalEx对一元操作符支持也有问题(最新版1.9已修改)等等。于是重新造了一个轮子 FinExpr。
154 |
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/pom.xml:
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1 |
3 | 4.0.0
4 |
5 | io.github.jarvisjin
6 | fin-expr
7 | 1.0.1
8 | jar
9 |
10 | fin-expr
11 | Fin-Expr: an expression evaluator
12 | http://maven.apache.org
13 |
14 |
15 | UTF-8
16 |
17 |
18 |
19 |
20 | ossrh
21 | https://oss.sonatype.org/content/repositories/snapshots
22 |
23 |
24 | ossrh
25 | https://oss.sonatype.org/service/local/staging/deploy/maven2/
26 |
27 |
28 |
29 |
30 |
31 | junit
32 | junit
33 | 4.12
34 | test
35 |
36 |
37 |
38 |
39 |
40 |
41 | org.apache.maven.plugins
42 | maven-compiler-plugin
43 |
44 | 1.8
45 | 1.8
46 |
47 |
48 |
49 |
50 |
51 |
52 |
53 | release
54 |
55 |
56 |
57 | org.apache.maven.plugins
58 | maven-source-plugin
59 | 2.2.1
60 |
61 |
62 | attach-sources
63 |
64 | jar-no-fork
65 |
66 |
67 |
68 |
69 |
70 | org.apache.maven.plugins
71 | maven-javadoc-plugin
72 | 2.9.1
73 |
74 |
75 | attach-javadocs
76 |
77 | jar
78 |
79 |
80 |
81 |
82 |
83 | org.apache.maven.plugins
84 | maven-gpg-plugin
85 | 1.5
86 |
87 |
88 | sign-artifacts
89 | verify
90 |
91 | sign
92 |
93 |
94 |
95 |
96 |
97 |
98 |
99 |
100 |
101 |
102 |
103 |
104 | The Apache Software License, Version 2.0
105 | http://www.apache.org/licenses/LICENSE-2.0.txt
106 | repo
107 |
108 |
109 |
110 | https://github.com/JarvisJin/FinExpr
111 | https://github.com/JarvisJin/FinExpr.git
112 | https://github.com/JarvisJin
113 |
114 |
115 |
116 | JarvisJin
117 | imasking@hotmail.com
118 | https://github.com/JarvisJin
119 |
120 |
121 |
122 |
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/src/main/java/io/github/jarvisjin/finexpr/expr/ExprException.java:
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1 | package io.github.jarvisjin.finexpr.expr;
2 |
3 | public class ExprException extends RuntimeException {
4 |
5 | private static final long serialVersionUID = -6523095703745603913L;
6 |
7 | public ExprException(String message) {
8 | super(message);
9 | }
10 | }
--------------------------------------------------------------------------------
/src/main/java/io/github/jarvisjin/finexpr/expr/Expression.java:
--------------------------------------------------------------------------------
1 | /*
2 | * Copyright 2002-2018 the original author or authors.
3 | *
4 | * Licensed under the Apache License, Version 2.0 (the "License");
5 | * you may not use this file except in compliance with the License.
6 | * You may obtain a copy of the License at
7 | *
8 | * http://www.apache.org/licenses/LICENSE-2.0
9 | *
10 | * Unless required by applicable law or agreed to in writing, software
11 | * distributed under the License is distributed on an "AS IS" BASIS,
12 | * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
13 | * See the License for the specific language governing permissions and
14 | * limitations under the License.
15 | */
16 |
17 | package io.github.jarvisjin.finexpr.expr;
18 |
19 | import java.util.Map;
20 | import java.util.Set;
21 | import java.util.Stack;
22 |
23 | import io.github.jarvisjin.finexpr.function.Function;
24 | import io.github.jarvisjin.finexpr.operator.DivideOperator;
25 | import io.github.jarvisjin.finexpr.operator.MinusOperator;
26 | import io.github.jarvisjin.finexpr.operator.MultiplyOperator;
27 | import io.github.jarvisjin.finexpr.operator.Operator;
28 | import io.github.jarvisjin.finexpr.operator.PlusOperator;
29 | import io.github.jarvisjin.finexpr.operator.PowOperator;
30 | import io.github.jarvisjin.finexpr.operator.UnaryMinusOperator;
31 | import io.github.jarvisjin.finexpr.operator.UnaryPlusOperator;
32 | import io.github.jarvisjin.finexpr.token.NumberToken;
33 | import io.github.jarvisjin.finexpr.token.ShuntingYard;
34 | import io.github.jarvisjin.finexpr.token.Token;
35 | import io.github.jarvisjin.finexpr.token.TokenType;
36 |
37 | import java.math.BigDecimal;
38 | import java.math.MathContext;
39 | import java.util.ArrayList;
40 | import java.util.HashMap;
41 | import java.util.HashSet;
42 | import java.util.List;
43 |
44 | /**
45 | * new the instance of Expression to calculate.
46 | *
47 | * @author JarvisJin
48 | *
49 | */
50 | public class Expression {
51 |
52 | /** the origin infix expression */
53 | private final String expr;
54 | private List rpn;
55 | private MathContext mc;
56 |
57 | private Map opMap = new HashMap();
58 | private Map varMap = new HashMap();
59 | private Map funcMap = new HashMap();
60 |
61 | public Expression(String expr) {
62 | this(expr, MathContext.DECIMAL64);
63 | }
64 |
65 | public Expression(String expr, MathContext mc) {
66 | assert mc != null;
67 |
68 | this.expr = expr.trim();
69 | this.mc = mc;
70 | initDefaultOperator();
71 | }
72 |
73 | public void compile() {
74 | if (rpn == null) {
75 | rpn = ShuntingYard.generateRPN(expr, opMap);
76 | }
77 | }
78 |
79 | public Set getUsedFunction(){
80 | if(rpn == null) {
81 | throw new RuntimeException("The Expression need to be compiled befero getUsedFunction!");
82 | }
83 | Set usedFunc = new HashSet<>();
84 | for (Token t : rpn) {
85 | if(TokenType.FUNCTION.equals(t.getType())) {
86 | usedFunc.add(t.getContent());
87 | }
88 | }
89 | return usedFunc;
90 | }
91 |
92 | public BigDecimal calculate() {
93 |
94 | Stack numStack = new Stack();
95 | compile();
96 |
97 | for (Token t : rpn) {
98 | switch (t.getType()) {
99 |
100 | case OPEN_PAREN:
101 | case NUMBER:
102 | case VARIABLE:
103 | numStack.push(t);
104 | break;
105 |
106 | case FUNCTION:
107 | Function func = funcMap.get(t.getContent());
108 | if (func != null) {
109 | List params = new ArrayList();
110 | while (!numStack.isEmpty() && numStack.peek().getType() != TokenType.OPEN_PAREN) {
111 | params.add(toNumber(numStack.pop()));
112 | }
113 | if (!numStack.isEmpty()) {
114 | numStack.pop();
115 | if (func.getArgNum() != -1 && func.getArgNum() != params.size()) {
116 | throw new ExprException(
117 | "Error, the number of params for function " + t.getContent() + " is incorrect.");
118 | }
119 | numStack.push(new NumberToken(func.apply(reverse(params), mc)));
120 | } else {
121 | throw new ExprException("Error, function " + t.getContent() + " without (.");
122 | }
123 | } else {
124 | throw new ExprException(
125 | "Unkown function '" + t.getContent() + "' at Expression:" + (t.getPos() + 1));
126 | }
127 | break;
128 |
129 | case OPERATOR:
130 | Operator op = opMap.get(t.getContent());
131 | if (op != null) {
132 | List params = new ArrayList();
133 | while (!numStack.isEmpty() && params.size() < op.getOperandNum()) {
134 | params.add(toNumber(numStack.pop()));
135 | }
136 | if (op.getOperandNum() != params.size()) {
137 | throw new ExprException("Error, operator " + t.getContent() + " donot have enough operands!");
138 | }
139 | numStack.push(new NumberToken(op.apply(reverse(params), mc)));
140 |
141 | } else {
142 | throw new ExprException("Unkown operator '" + t.getContent() + "' at " + (t.getPos() + 1));
143 | }
144 | break;
145 |
146 | default:
147 | throw new ExprException("Invalid token in rpn position:" + (t.getPos() + 1));
148 | }
149 | }
150 |
151 | if (numStack.isEmpty() || numStack.peek().getType() != TokenType.NUMBER) {
152 | throw new ExprException("the expression is invalid!");
153 | }
154 |
155 | BigDecimal result = toNumber(numStack.pop());
156 | if (!numStack.isEmpty()) {
157 | throw new ExprException("the expression is invalid!");
158 | }
159 | return result;
160 | }
161 |
162 | private BigDecimal toNumber(Token t) {
163 | if (t instanceof NumberToken) {
164 | return ((NumberToken) t).getValue();
165 | }
166 | switch (t.getType()) {
167 | case NUMBER:
168 | try {
169 | return new BigDecimal(t.getContent(), mc);
170 | } catch (NumberFormatException e) {
171 | throw new ExprException("Invalid number at " + (t.getPos() + 1) + " \n " + e.getMessage());
172 | }
173 | case VARIABLE:
174 | BigDecimal var = varMap.get(t.getContent());
175 | if (var != null) {
176 | return var;
177 | } else {
178 | throw new ExprException("Unkown variable '" + t.getContent() + "' at " + (t.getPos() + 1));
179 | }
180 | default:
181 | throw new ExprException("expected token should be NUMBER or VARIABLE");
182 | }
183 | }
184 |
185 | private List reverse(List origin) {
186 | List result = new ArrayList(origin.size());
187 | for (int i = origin.size() - 1; i > -1; i--) {
188 | result.add(origin.get(i));
189 | }
190 | return result;
191 | }
192 |
193 | /**
194 | * add custom operator
195 | *
196 | * @param op
197 | * the {@code Operator} to be added
198 | * @param replaceOnDuplicate
199 | * when {@code replaceOnDuplicate==true}, if there is already an
200 | * operator {@code oldOp} with the same symbol, {@code oldOp} will be
201 | * replaced by {@code op}.
202 | */
203 | public Expression addOperator(Operator op, boolean replaceOnDuplicate) {
204 | assert op != null;
205 | if (opMap.containsKey(op.getSymbol()) && (!replaceOnDuplicate)) {
206 | throw new ExprException("the operator '" + op.getSymbol() + "' has already exsit!");
207 | }
208 | opMap.put(op.getSymbol(), op);
209 | return this;
210 | }
211 |
212 | public Expression addOperator(Operator op) {
213 | return addOperator(op, false);
214 | }
215 |
216 | /**
217 | * add custom function
218 | *
219 | * @param func
220 | * the {@code Function} to be added
221 | * @param replaceOnDuplicate
222 | * when {@code replaceOnDuplicate==true}, if there is already an
223 | * function {@code oldFunc} with the same symbol, {@code oldFunc}
224 | * will be replaced by {@code func}.
225 | * @return
226 | */
227 | public Expression addFunction(Function func, boolean replaceOnDuplicate) {
228 | assert func != null;
229 | if (funcMap.containsKey(func.getName()) && (!replaceOnDuplicate)) {
230 | throw new ExprException("the function '" + func.getName() + "' has already exsit!");
231 | }
232 | funcMap.put(func.getName(), func);
233 | return this;
234 | }
235 |
236 | public Expression addFunction(Function func) {
237 | return addFunction(func, false);
238 | }
239 |
240 | /**
241 | * add custom variable
242 | */
243 | public Expression addVariable(String name, BigDecimal value, boolean replaceOnDuplicate) {
244 | assert name != null && value != null;
245 | if (varMap.containsKey(name) && (!replaceOnDuplicate)) {
246 | throw new ExprException("the operator '" + name + "' has already exsit!");
247 | }
248 | varMap.put(name, value.round(mc));
249 | return this;
250 | }
251 |
252 | public Expression addVariable(String name, BigDecimal value) {
253 | return addVariable(name, value, false);
254 | }
255 |
256 | /**
257 | * Removes all of the variables added to the Expression The variables in the
258 | * Expression will be empty after this call returns, and can be reset
259 | *
260 | */
261 | public void clearVariables() {
262 | varMap.clear();
263 | }
264 |
265 | /**
266 | * init defaul operator +, -, *, /, ^, -(unary), +(unary)
267 | */
268 | private void initDefaultOperator() {
269 | opMap.put(PlusOperator.SYMBOL, PlusOperator.getInstance());
270 | opMap.put(MinusOperator.SYMBOL, MinusOperator.getInstance());
271 | opMap.put(MultiplyOperator.SYMBOL, MultiplyOperator.getInstance());
272 | opMap.put(DivideOperator.SYMBOL, DivideOperator.getInstance());
273 | opMap.put(PowOperator.SYMBOL, PowOperator.getInstance());
274 | opMap.put(UnaryMinusOperator.SYMBOL, UnaryMinusOperator.getInstance());
275 | opMap.put(UnaryPlusOperator.SYMBOL, UnaryPlusOperator.getInstance());
276 | }
277 | }
278 |
--------------------------------------------------------------------------------
/src/main/java/io/github/jarvisjin/finexpr/function/Function.java:
--------------------------------------------------------------------------------
1 | package io.github.jarvisjin.finexpr.function;
2 |
3 | import java.math.BigDecimal;
4 | import java.math.MathContext;
5 | import java.util.List;
6 |
7 | public abstract class Function {
8 |
9 | private final String name;
10 |
11 | /**
12 | * the num of args, -1 means variable
13 | * 该函数接受的参数个数:
14 | * 若 argNum>0 或 argNum==0 代表固定参数个数,Expression计算时会验证个数是否匹配
15 | * 若 argNum == -1 代表该函数支持可变参数个数,不校验个数是否匹配。
16 | * */
17 | private final int argNum;
18 |
19 | public Function(String name, int argNum){
20 | if(argNum < -1){
21 | throw new IllegalArgumentException("The number of function arguments is incorrect. -1(variable) or not less than 0");
22 | }
23 | this.name = name;
24 | this.argNum = argNum;
25 | }
26 |
27 | public abstract BigDecimal apply(List args, MathContext mc);
28 |
29 | public String getName() {
30 | return name;
31 | }
32 |
33 | public int getArgNum() {
34 | return argNum;
35 | }
36 | }
37 |
--------------------------------------------------------------------------------
/src/main/java/io/github/jarvisjin/finexpr/operator/DivideOperator.java:
--------------------------------------------------------------------------------
1 | package io.github.jarvisjin.finexpr.operator;
2 |
3 | import java.math.BigDecimal;
4 | import java.math.MathContext;
5 | import java.util.List;
6 |
7 | import io.github.jarvisjin.finexpr.expr.ExprException;
8 |
9 | public class DivideOperator extends Operator {
10 |
11 | public static final String SYMBOL = "/";
12 |
13 | private static DivideOperator instance = new DivideOperator();
14 |
15 | private DivideOperator() {
16 | super(SYMBOL, 2, true, OperatorPrecedenceCode.MULTIPLY_DIVIDE);
17 | }
18 |
19 | @Override
20 | public BigDecimal apply(List args, MathContext mc) {
21 | if (mc == null)
22 | throw new ExprException("the MathContext cannot be null!");
23 | return args.get(0).divide(args.get(1), mc);
24 | }
25 |
26 | public static DivideOperator getInstance() {
27 | return instance;
28 | }
29 | }
30 |
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/src/main/java/io/github/jarvisjin/finexpr/operator/MinusOperator.java:
--------------------------------------------------------------------------------
1 | package io.github.jarvisjin.finexpr.operator;
2 |
3 | import java.math.BigDecimal;
4 | import java.math.MathContext;
5 | import java.util.List;
6 |
7 | import io.github.jarvisjin.finexpr.expr.ExprException;
8 |
9 | public class MinusOperator extends Operator {
10 |
11 | public static final String SYMBOL = "-";
12 |
13 | private static MinusOperator instance = new MinusOperator();
14 |
15 | private MinusOperator() {
16 | super(SYMBOL, 2, true, OperatorPrecedenceCode.PLUS_MINUS);
17 | }
18 |
19 | @Override
20 | public BigDecimal apply(List args, MathContext mc) {
21 | if (mc == null)
22 | throw new ExprException("the MathContext cannot be null!");
23 | return args.get(0).subtract(args.get(1), mc);
24 | }
25 |
26 | public static MinusOperator getInstance() {
27 | return instance;
28 | }
29 | }
30 |
--------------------------------------------------------------------------------
/src/main/java/io/github/jarvisjin/finexpr/operator/MultiplyOperator.java:
--------------------------------------------------------------------------------
1 | package io.github.jarvisjin.finexpr.operator;
2 |
3 | import java.math.BigDecimal;
4 | import java.math.MathContext;
5 | import java.util.List;
6 |
7 | import io.github.jarvisjin.finexpr.expr.ExprException;
8 |
9 | public class MultiplyOperator extends Operator {
10 |
11 | public static final String SYMBOL = "*";
12 |
13 | private static MultiplyOperator instance = new MultiplyOperator();
14 |
15 | private MultiplyOperator() {
16 | super(SYMBOL, 2, true, OperatorPrecedenceCode.MULTIPLY_DIVIDE);
17 | }
18 |
19 | @Override
20 | public BigDecimal apply(List args, MathContext mc) {
21 | if (mc == null)
22 | throw new ExprException("the MathContext cannot be null!");
23 | return args.get(0).multiply(args.get(1), mc);
24 | }
25 |
26 | public static MultiplyOperator getInstance() {
27 | return instance;
28 | }
29 | }
30 |
--------------------------------------------------------------------------------
/src/main/java/io/github/jarvisjin/finexpr/operator/Operator.java:
--------------------------------------------------------------------------------
1 | package io.github.jarvisjin.finexpr.operator;
2 |
3 | import java.math.BigDecimal;
4 | import java.math.MathContext;
5 | import java.util.List;
6 |
7 | public abstract class Operator {
8 |
9 | private final String symbol;
10 | private final int operandNum;
11 | private final boolean leftAssociative;
12 | private final int precedence;
13 |
14 | public Operator(String symbol, int operandNum, boolean leftAssociative, int precedence) {
15 | this.symbol = symbol;
16 | this.operandNum = operandNum;
17 | this.leftAssociative = leftAssociative;
18 | this.precedence = precedence;
19 | };
20 |
21 | public abstract BigDecimal apply(List args, MathContext mc);
22 |
23 | public String getSymbol() {
24 | return symbol;
25 | }
26 |
27 | public int getOperandNum() {
28 | return operandNum;
29 | }
30 |
31 | public boolean isLeftAssociative() {
32 | return leftAssociative;
33 | }
34 |
35 | public int getPrecedence() {
36 | return precedence;
37 | }
38 | }
39 |
--------------------------------------------------------------------------------
/src/main/java/io/github/jarvisjin/finexpr/operator/OperatorPrecedenceCode.java:
--------------------------------------------------------------------------------
1 | package io.github.jarvisjin.finexpr.operator;
2 |
3 | /**
4 | * the precedence level of operators
5 | *
6 | */
7 | public class OperatorPrecedenceCode {
8 |
9 | public static final int PLUS_MINUS = 10; // + -
10 | public static final int MULTIPLY_DIVIDE = 20; // * /
11 | public static final int POW = 30; // ^
12 |
13 | public static final int UNARY_PLUS_MINUS = 50; // +u -u
14 | }
15 |
--------------------------------------------------------------------------------
/src/main/java/io/github/jarvisjin/finexpr/operator/PlusOperator.java:
--------------------------------------------------------------------------------
1 | package io.github.jarvisjin.finexpr.operator;
2 |
3 | import java.math.BigDecimal;
4 | import java.math.MathContext;
5 | import java.util.List;
6 |
7 | import io.github.jarvisjin.finexpr.expr.ExprException;
8 |
9 | public class PlusOperator extends Operator {
10 |
11 | public static final String SYMBOL = "+";
12 |
13 | private static PlusOperator instance = new PlusOperator();
14 |
15 | private PlusOperator() {
16 | super(SYMBOL, 2, true, OperatorPrecedenceCode.PLUS_MINUS);
17 | }
18 |
19 | @Override
20 | public BigDecimal apply(List args, MathContext mc) {
21 | if (mc == null)
22 | throw new ExprException("the MathContext cannot be null!");
23 | return args.get(0).add(args.get(1), mc);
24 | }
25 |
26 | public static PlusOperator getInstance() {
27 | return instance;
28 | }
29 |
30 | }
31 |
--------------------------------------------------------------------------------
/src/main/java/io/github/jarvisjin/finexpr/operator/PowOperator.java:
--------------------------------------------------------------------------------
1 | package io.github.jarvisjin.finexpr.operator;
2 |
3 | import java.math.BigDecimal;
4 | import java.math.MathContext;
5 | import java.math.RoundingMode;
6 | import java.util.List;
7 |
8 | import io.github.jarvisjin.finexpr.expr.ExprException;
9 |
10 | public class PowOperator extends Operator {
11 |
12 | public static final String SYMBOL = "^";
13 |
14 | private static PowOperator instance = new PowOperator();
15 |
16 | private PowOperator() {
17 | super(SYMBOL, 2, false, OperatorPrecedenceCode.POW);
18 | }
19 |
20 | @Override
21 | public BigDecimal apply(List args, MathContext mc) {
22 | if (mc == null)
23 | throw new ExprException("the MathContext cannot be null!");
24 |
25 | /**
26 | * thanks evalex, the implement is from
27 | * https://github.com/uklimaschewski/EvalEx/blob/master/src/com/udojava/
28 | * evalex/Expression.java
29 | */
30 | BigDecimal v1 = args.get(0), v2 = args.get(1);
31 |
32 | int signOf2 = v2.signum();
33 | double dn1 = v1.doubleValue();
34 | v2 = v2.multiply(new BigDecimal(signOf2)); // n2 is now positive
35 | BigDecimal remainderOf2 = v2.remainder(BigDecimal.ONE);
36 | BigDecimal n2IntPart = v2.subtract(remainderOf2);
37 | BigDecimal intPow = v1.pow(n2IntPart.intValueExact(), mc);
38 | BigDecimal doublePow = new BigDecimal(Math.pow(dn1,
39 | remainderOf2.doubleValue()));
40 |
41 | BigDecimal result = intPow.multiply(doublePow, mc);
42 | if (signOf2 == -1) {
43 | result = BigDecimal.ONE.divide(result, mc.getPrecision(),
44 | RoundingMode.HALF_UP);
45 | }
46 | return result;
47 | }
48 |
49 | public static PowOperator getInstance() {
50 | return instance;
51 | }
52 | }
53 |
--------------------------------------------------------------------------------
/src/main/java/io/github/jarvisjin/finexpr/operator/UnaryMinusOperator.java:
--------------------------------------------------------------------------------
1 | package io.github.jarvisjin.finexpr.operator;
2 |
3 | import java.math.BigDecimal;
4 | import java.math.MathContext;
5 | import java.util.List;
6 |
7 | import io.github.jarvisjin.finexpr.expr.ExprException;
8 |
9 | public class UnaryMinusOperator extends Operator {
10 |
11 | public static final String SYMBOL = "-u";
12 |
13 | private static UnaryMinusOperator instance = new UnaryMinusOperator();
14 |
15 | private UnaryMinusOperator() {
16 | super(SYMBOL, 1, false, OperatorPrecedenceCode.UNARY_PLUS_MINUS);
17 | }
18 |
19 | @Override
20 | public BigDecimal apply(List args, MathContext mc) {
21 | if (mc == null)
22 | throw new ExprException("the MathContext cannot be null!");
23 | return args.get(0).negate(mc);
24 | }
25 |
26 | public static UnaryMinusOperator getInstance() {
27 | return instance;
28 | }
29 | }
30 |
--------------------------------------------------------------------------------
/src/main/java/io/github/jarvisjin/finexpr/operator/UnaryPlusOperator.java:
--------------------------------------------------------------------------------
1 | package io.github.jarvisjin.finexpr.operator;
2 |
3 | import java.math.BigDecimal;
4 | import java.math.MathContext;
5 | import java.util.List;
6 |
7 | import io.github.jarvisjin.finexpr.expr.ExprException;
8 |
9 | public class UnaryPlusOperator extends Operator {
10 |
11 | public static final String SYMBOL = "+u";
12 |
13 | private static UnaryPlusOperator instance = new UnaryPlusOperator();
14 |
15 | private UnaryPlusOperator() {
16 | super(SYMBOL, 1, false, OperatorPrecedenceCode.UNARY_PLUS_MINUS);
17 | }
18 |
19 | @Override
20 | public BigDecimal apply(List args, MathContext mc) {
21 | if (mc == null)
22 | throw new ExprException("the MathContext cannot be null!");
23 | return args.get(0).add(BigDecimal.ZERO, mc);
24 | }
25 |
26 | public static UnaryPlusOperator getInstance() {
27 | return instance;
28 | }
29 | }
30 |
--------------------------------------------------------------------------------
/src/main/java/io/github/jarvisjin/finexpr/token/NumberToken.java:
--------------------------------------------------------------------------------
1 | package io.github.jarvisjin.finexpr.token;
2 |
3 | import java.math.BigDecimal;
4 |
5 | import io.github.jarvisjin.finexpr.expr.ExprException;
6 |
7 | public class NumberToken extends Token{
8 |
9 | private final BigDecimal value;
10 |
11 | public NumberToken(BigDecimal value){
12 | super(TokenType.NUMBER);
13 | assert value!=null;
14 | this.value = value;
15 | }
16 |
17 | @Override
18 | public void setType(TokenType type) {
19 | throw new ExprException("NumberToken's type is NUMBER, cannot be changed.");
20 | }
21 |
22 | public BigDecimal getValue() {
23 | return value;
24 | }
25 | }
26 |
--------------------------------------------------------------------------------
/src/main/java/io/github/jarvisjin/finexpr/token/ShuntingYard.java:
--------------------------------------------------------------------------------
1 | package io.github.jarvisjin.finexpr.token;
2 |
3 | import java.util.LinkedList;
4 | import java.util.List;
5 | import java.util.Map;
6 | import java.util.Stack;
7 |
8 | import io.github.jarvisjin.finexpr.expr.ExprException;
9 | import io.github.jarvisjin.finexpr.operator.Operator;
10 |
11 | /**
12 | * Shunting-yard algorithm https://en.wikipedia.org/wiki/Shunting-yard_algorithm
13 | * https://zh.wikipedia.org/wiki/%E8%B0%83%E5%BA%A6%E5%9C%BA%E7%AE%97%E6%B3%95
14 | *
15 | * the shunting-yard algorithm is a method for parsing mathematical expressions specified in infix notation.
16 | * It can produce either a postfix notation string, also known as Reverse Polish notation (RPN)
17 | *
18 | * @author JarvisJin
19 | *
20 | */
21 | public class ShuntingYard {
22 |
23 | public static List generateRPN(String expression, Map opMap) {
24 |
25 | List output = new LinkedList();
26 | Tokenizer tokenizer = new Tokenizer(expression, opMap.keySet());
27 | Stack opStack = new Stack();
28 |
29 | Token previousToken = null;
30 |
31 | while (tokenizer.hasNext()) {
32 | Token t = tokenizer.next();
33 | switch (t.getType()) {
34 |
35 | case NUMBER:
36 | case VARIABLE:
37 | if(previousToken!=null &&
38 | ( previousToken.getType()==TokenType.NUMBER || previousToken.getType()==TokenType.VARIABLE)
39 | ){
40 | throw new ExprException("Parse error! missing operator or separator ',' at "+(t.getPos()+1));
41 | }
42 | output.add(t);
43 | break;
44 |
45 | case OPERATOR:
46 | Operator thisOp = opMap.get(t.getContent());
47 |
48 | while(!opStack.isEmpty()){
49 | Token peekToken = opStack.peek();
50 | if(peekToken.getType()==TokenType.OPERATOR){
51 | Operator lastOp = opMap.get(peekToken.getContent());
52 | if(lastOp.getPrecedence() > thisOp.getPrecedence()){
53 | opStack.pop();
54 | output.add(peekToken);
55 | }else if(lastOp.getPrecedence() == thisOp.getPrecedence() && lastOp.isLeftAssociative()){
56 | opStack.pop();
57 | output.add(peekToken);
58 | }else{
59 | break;
60 | }
61 | }else{
62 | break;
63 | }
64 | }
65 | opStack.push(t);
66 | break;
67 |
68 | case FUNCTION:
69 | opStack.push(t);
70 | break;
71 | case OPEN_PAREN:
72 | opStack.push(t);
73 | if(previousToken!=null && previousToken.getType()==TokenType.FUNCTION){
74 | output.add(t); // to determine the number of parameters of the functions with variable params
75 | }
76 | break;
77 |
78 | case SEPARATOR:
79 | while(!opStack.isEmpty() && opStack.peek().getType()!=TokenType.OPEN_PAREN){
80 | output.add(opStack.pop());
81 | }
82 | if(opStack.isEmpty()){
83 | throw new ExprException("Parse error! for ',' at "+(t.getPos()+1));
84 | }
85 | break;
86 |
87 | case CLOSE_PAREN:
88 | while(!opStack.isEmpty() && opStack.peek().getType()!=TokenType.OPEN_PAREN){
89 | output.add(opStack.pop());
90 | }
91 | if(opStack.isEmpty()){
92 | throw new ExprException("Parse error! PAREN not match! at "+(t.getPos()+1));
93 | }
94 | opStack.pop();
95 | if(!opStack.isEmpty() && opStack.peek().getType()==TokenType.FUNCTION){
96 | output.add(opStack.pop());
97 | }
98 | break;
99 | }
100 |
101 | previousToken = t;
102 | }
103 |
104 | while(!opStack.isEmpty()){
105 | Token leftT = opStack.pop();
106 | if(leftT.getType()==TokenType.OPEN_PAREN || leftT.getType()==TokenType.CLOSE_PAREN){
107 | throw new ExprException("Parse error! PAREN not match! at "+(leftT.getPos()+1));
108 | }
109 | output.add(leftT);
110 | }
111 | return output;
112 | }
113 | }
114 |
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/src/main/java/io/github/jarvisjin/finexpr/token/Token.java:
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1 | package io.github.jarvisjin.finexpr.token;
2 |
3 | public class Token {
4 |
5 | private StringBuilder content;
6 | private TokenType type;
7 |
8 | /** position in origin expression */
9 | private int pos;
10 |
11 | public Token(){
12 | content = new StringBuilder(6);
13 | }
14 |
15 | public Token(TokenType type){
16 | this.type = type;
17 | content = new StringBuilder(6);
18 | }
19 |
20 | public String getContent() {
21 | return content.toString();
22 | }
23 |
24 | public void append(char ch){
25 | content.append(ch);
26 | }
27 |
28 | public char charAt(int index){
29 | return content.charAt(index);
30 | }
31 |
32 | public int length(){
33 | return content.length();
34 | }
35 |
36 | public TokenType getType() {
37 | return type;
38 | }
39 | public void setType(TokenType type) {
40 | this.type = type;
41 | }
42 | public int getPos() {
43 | return pos;
44 | }
45 | public void setPos(int pos) {
46 | this.pos = pos;
47 | }
48 | }
49 |
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/src/main/java/io/github/jarvisjin/finexpr/token/TokenType.java:
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1 | package io.github.jarvisjin.finexpr.token;
2 |
3 | public enum TokenType {
4 |
5 | NUMBER,
6 | VARIABLE,
7 |
8 | FUNCTION,
9 | OPERATOR,
10 |
11 | OPEN_PAREN,
12 | SEPARATOR,
13 | CLOSE_PAREN
14 |
15 | }
16 |
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/src/main/java/io/github/jarvisjin/finexpr/token/Tokenizer.java:
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1 | package io.github.jarvisjin.finexpr.token;
2 |
3 | import java.util.Set;
4 |
5 | import io.github.jarvisjin.finexpr.expr.ExprException;
6 |
7 | public class Tokenizer {
8 |
9 | /** the origin infix expression */
10 | private final String expr;
11 |
12 | /** current position */
13 | private int pos = 0;
14 |
15 | /** the previous token */
16 | private Token previousToken;
17 |
18 | private final char UNDER_LINE = '_';
19 | private final char SEPARATOR = ',';
20 | private final char DECIMAL_POINT = '.';
21 | private final char OPEN_PAREN = '(';
22 | private final char CLOSE_PAREN = ')';
23 | private final char UNARY_SUFFIX = 'u'; // unary operator suffix : '-' => '-u'; '+' => '+u'
24 |
25 | private final Set operators;
26 |
27 | public Tokenizer(String expression, Set operators) {
28 | this.expr = expression.trim();
29 | this.operators = operators;
30 | }
31 |
32 | public boolean hasNext() {
33 | return pos < expr.length();
34 | }
35 |
36 | public Token next() {
37 | if (!hasNext())
38 | return previousToken = null;
39 |
40 | char ch = expr.charAt(pos);
41 | while (Character.isWhitespace(ch) && ++pos < expr.length()) {
42 | ch = expr.charAt(pos);
43 | }
44 |
45 | if (Character.isWhitespace(ch))
46 | return previousToken = null;
47 |
48 | Token token = new Token();
49 | token.setPos(pos);
50 |
51 | if (Character.isDigit(ch)) { // Number token
52 | do {
53 | token.append(ch);
54 | ch = ++pos < expr.length() ? expr.charAt(pos) : 0;
55 | } while (isCotinueNumber(ch, token));
56 | token.setType(TokenType.NUMBER);
57 |
58 | }else if(Character.isLetter(ch) || UNDER_LINE==ch){ // variable or function
59 | do {
60 | token.append(ch);
61 | ch = ++pos < expr.length() ? expr.charAt(pos) : 0;
62 | } while (isCotinueVarOrFuncName(ch));
63 | token.setType(ch==OPEN_PAREN ? TokenType.FUNCTION : TokenType.VARIABLE);
64 |
65 | }else if(SEPARATOR == ch){
66 | token.append(ch);
67 | token.setType(TokenType.SEPARATOR);
68 | ++pos;
69 |
70 | }else if(OPEN_PAREN == ch){
71 | token.append(ch);
72 | token.setType(TokenType.OPEN_PAREN);
73 | ++pos;
74 |
75 | }else if(CLOSE_PAREN == ch){
76 | token.append(ch);
77 | token.setType(TokenType.CLOSE_PAREN);
78 | ++pos;
79 |
80 | }else if(operators!=null && operators.contains(String.valueOf(ch))){
81 | token.append(ch);
82 | token.setType(TokenType.OPERATOR);
83 | if('-'==ch || '+'==ch){
84 | if(previousToken==null
85 | || previousToken.getType()==TokenType.SEPARATOR
86 | || previousToken.getType()==TokenType.OPEN_PAREN
87 | || previousToken.getType()==TokenType.OPERATOR){
88 | token.append(UNARY_SUFFIX);
89 | }
90 | }
91 | ++pos;
92 |
93 | }else{
94 | throw new ExprException("Invalid char in expression, position: "+(pos+1));
95 | }
96 |
97 | return previousToken = token;
98 | }
99 |
100 | private boolean isCotinueNumber(char ch, Token token) {
101 | if (Character.isDigit(ch) || 'e' == ch || 'E' == ch || DECIMAL_POINT==ch) {
102 | return true;
103 | }
104 |
105 | if ('-' == ch || '+' == ch) { // scientific notation
106 | if (token.length() > 0
107 | && (token.charAt(token.length() - 1) == 'e' || token.charAt(token.length() - 1) == 'E')) {
108 | return true;
109 | }
110 | }
111 |
112 | return false;
113 | }
114 |
115 | private boolean isCotinueVarOrFuncName(char ch) {
116 | return ( Character.isDigit(ch) || Character.isLetter(ch) || UNDER_LINE==ch );
117 | }
118 |
119 | public Token previous() {
120 | return previousToken;
121 | }
122 |
123 | public String getExpr() {
124 | return expr;
125 | }
126 |
127 | public int getPos() {
128 | return pos;
129 | }
130 | }
131 |
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/src/test/java/io/github/jarvisjin/finexpr/ExpressionTest.java:
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1 | package io.github.jarvisjin.finexpr;
2 |
3 | import java.math.BigDecimal;
4 | import java.math.MathContext;
5 | import java.util.List;
6 |
7 | import io.github.jarvisjin.finexpr.expr.Expression;
8 | import io.github.jarvisjin.finexpr.function.Function;
9 | import junit.framework.Test;
10 | import junit.framework.TestCase;
11 | import junit.framework.TestSuite;
12 |
13 | /**
14 | * Unit test for Expression.
15 | */
16 | public class ExpressionTest extends TestCase {
17 | /**
18 | * Create the test case
19 | *
20 | * @param testName
21 | * name of the test case
22 | */
23 | public ExpressionTest(String testName) {
24 | super(testName);
25 | }
26 |
27 | /**
28 | * @return the suite of tests being tested
29 | */
30 | public static Test suite() {
31 | return new TestSuite(ExpressionTest.class);
32 | }
33 |
34 | /**
35 | * Test :-)
36 | */
37 | public void testExpr() {
38 | Expression e = new Expression("min(x,y) + a^b");
39 |
40 | // define function "min"
41 | e.addFunction(new Function("min", 2){
42 | @Override
43 | public BigDecimal apply(List args, MathContext mc) {
44 | if(args.get(0).compareTo(args.get(1))<0) {
45 | return args.get(0);
46 | }else {
47 | return args.get(1);
48 | }
49 | }
50 | });
51 |
52 | /*
53 | * set variables,
54 | * in this case:
55 | * the expression
56 | * = min(8.5,5.77) + 5^3
57 | * = 5.77 + 5^3
58 | * = 5.77 + 125
59 | * = 130.77
60 | */
61 | e.addVariable("x", new BigDecimal("8.5"));
62 | e.addVariable("y", new BigDecimal("5.77"));
63 | e.addVariable("a", new BigDecimal("5"));
64 | e.addVariable("b", new BigDecimal("3"));
65 |
66 | BigDecimal result = e.calculate();
67 | System.out.println(result);
68 | assertTrue(result.equals(new BigDecimal("130.77")));
69 |
70 | /*
71 | * set replaceOnDuplicate==true, to replace the value of x and b, then caculate again.
72 | * the expression
73 | * = -9 + 5^5
74 | * = -9 + 3125
75 | * = 3116
76 | *
77 | * if you don't want to use replaceOnDuplicate, you can use Expression.clearVariables() instead.
78 | * that function will clean all variables, and you need to reset all of the variables;
79 | */
80 | e.addVariable("x", new BigDecimal("-9"), true);
81 | e.addVariable("b", new BigDecimal("5"), true);
82 | result = e.calculate();
83 | System.out.println(result);
84 | assertTrue(result.equals(new BigDecimal("3116")));
85 | }
86 | }
87 |
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