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@ -85,9 +85,27 @@ public class ChoiceQuestionGenerator {
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// 30%概率生成纯平方/开方题目,70%概率生成包含平方/开方的复合运算题目
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if (random.nextDouble() < 0.3) {
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// 生成纯平方或开方题目
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return generatePureSquareOrRootQuestion(questionNumber);
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} else {
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return generateJuniorCompoundQuestion(operatorCount, questionNumber);
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}
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}
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/**
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* 生成纯平方或开方题目
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*/
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private Question generatePureSquareOrRootQuestion(int questionNumber) {
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if (random.nextBoolean()) {
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// 平方题目
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return generateSquareQuestion(questionNumber);
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} else {
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return generateRootQuestion(questionNumber);
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}
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}
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/**
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* 生成平方题目
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*/
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private Question generateSquareQuestion(int questionNumber) {
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int a = MIN_OPERAND_VALUE + random.nextInt(MAX_OPERAND_VALUE);
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String questionText = String.format("%d² = ?", a);
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int correctAnswer = a * a;
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@ -102,8 +120,12 @@ public class ChoiceQuestionGenerator {
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String.valueOf(options.get(3)),
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String.valueOf(correctAnswer),
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questionNumber);
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} else {
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// 开方题目
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}
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/**
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* 生成开方题目
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*/
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private Question generateRootQuestion(int questionNumber) {
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int perfectSquare = (int) Math.pow(random.nextInt(10) + 1, 2);
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String questionText = String.format("√%d = ?", perfectSquare);
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int correctAnswer = (int) Math.sqrt(perfectSquare);
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@ -119,7 +141,11 @@ public class ChoiceQuestionGenerator {
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String.valueOf(correctAnswer),
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questionNumber);
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}
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} else {
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/**
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* 生成初中复合运算题目
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*/
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private Question generateJuniorCompoundQuestion(int operatorCount, int questionNumber) {
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// 生成包含平方/开方的复合运算表达式(确保包含平方或开方)
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String[] expression = generateJuniorCompoundExpressionWithGuarantee(operatorCount);
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String questionText = expression[0];
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@ -138,7 +164,6 @@ public class ChoiceQuestionGenerator {
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String.valueOf(correctAnswer),
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questionNumber);
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}
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}
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/**
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* 生成高中题目
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@ -149,7 +174,16 @@ public class ChoiceQuestionGenerator {
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// 30%概率生成纯三角函数题目,70%概率生成包含三角函数的复合运算题目
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if (random.nextDouble() < 0.3) {
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// 生成纯三角函数题目
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return generatePureTrigQuestion(questionNumber);
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} else {
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return generateSeniorCompoundQuestion(operatorCount, questionNumber);
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}
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}
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/**
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* 生成纯三角函数题目
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*/
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private Question generatePureTrigQuestion(int questionNumber) {
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int[] commonAngles = {0, 30, 45, 60, 90, 120, 135, 150, 180, 210, 225, 270, 300, 315, 330};
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int angle = commonAngles[random.nextInt(commonAngles.length)];
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String[] functions = {"sin", "cos", "tan"};
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@ -173,7 +207,12 @@ public class ChoiceQuestionGenerator {
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options.get(3),
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correctAnswer,
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questionNumber);
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} else {
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}
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/**
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* 生成高中复合运算题目
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*/
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private Question generateSeniorCompoundQuestion(int operatorCount, int questionNumber) {
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// 生成包含三角函数的复合运算表达式(确保包含三角函数)
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String[] expression = generateSeniorCompoundExpressionWithGuarantee(operatorCount);
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String questionText = expression[0];
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@ -192,7 +231,6 @@ public class ChoiceQuestionGenerator {
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String.valueOf(correctAnswer),
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questionNumber);
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}
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}
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/**
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* 生成三角函数题目的选项
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@ -296,10 +334,22 @@ private String generateNearbyValue(double correctAnswer, Set<String> usedOptions
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* 计算三角函数
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*/
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private double calculateTrigFunction(String function, int angle) {
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double radians = Math.toRadians(angle);
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switch (function) {
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case "sin":
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// 对特定角度返回精确值
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return calculateSin(angle);
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case "cos":
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return calculateCos(angle);
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case "tan":
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return calculateTan(angle);
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default:
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return 0;
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}
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}
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/**
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* 计算正弦函数
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*/
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private double calculateSin(int angle) {
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switch (angle) {
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case 0: return 0;
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case 30: return 0.5;
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@ -316,10 +366,15 @@ private double calculateTrigFunction(String function, int angle) {
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case 300: return -Math.sqrt(3)/2;
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case 315: return -Math.sqrt(2)/2;
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case 330: return -0.5;
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default: return Math.sin(radians);
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default:
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return Math.sin(Math.toRadians(angle));
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}
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case "cos":
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// 对特定角度返回精确值
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}
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/**
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* 计算余弦函数
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*/
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private double calculateCos(int angle) {
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switch (angle) {
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case 0: return 1;
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case 30: return Math.sqrt(3)/2;
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@ -336,10 +391,15 @@ private double calculateTrigFunction(String function, int angle) {
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case 300: return 0.5;
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case 315: return Math.sqrt(2)/2;
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case 330: return Math.sqrt(3)/2;
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default: return Math.cos(radians);
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default:
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return Math.cos(Math.toRadians(angle));
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}
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case "tan":
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// 对特定角度返回精确值或未定义
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}
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/**
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* 计算正切函数
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*/
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private double calculateTan(int angle) {
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switch (angle) {
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case 0: return 0;
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case 30: return Math.sqrt(3)/3;
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@ -356,9 +416,8 @@ private double calculateTrigFunction(String function, int angle) {
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case 300: return -Math.sqrt(3);
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case 315: return -1;
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case 330: return -Math.sqrt(3)/3;
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default: return Math.tan(radians);
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}
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default: return 0;
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default:
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return Math.tan(Math.toRadians(angle));
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}
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}
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@ -796,11 +855,23 @@ private double calculateTrigFunction(String function, int angle) {
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* 计算初中复合表达式(包含平方/开方)
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*/
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private int calculateJuniorCompoundExpression(List<Integer> operands, List<String> operators) {
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// 先处理平方和开方运算
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List<Integer> numbers = new ArrayList<>(operands);
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List<String> ops = new ArrayList<>(operators);
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// 第一轮:处理平方和开方运算
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processSquareAndRootOperations(numbers, ops);
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// 第二轮:处理乘除法
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processMultiplicationAndDivision(numbers, ops);
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// 第三轮:处理加减法
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return processAdditionAndSubtraction(numbers, ops);
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}
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/**
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* 处理平方和开方运算
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*/
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private void processSquareAndRootOperations(List<Integer> numbers, List<String> ops) {
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for (int i = 0; i < ops.size(); i++) {
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if (ops.get(i).equals("²")) {
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int result = numbers.get(i) * numbers.get(i);
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@ -813,8 +884,12 @@ private double calculateTrigFunction(String function, int angle) {
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i--; // 调整索引
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}
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}
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}
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// 第二轮:处理乘除法
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/**
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* 处理乘除法运算
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*/
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private void processMultiplicationAndDivision(List<Integer> numbers, List<String> ops) {
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for (int i = 0; i < ops.size(); i++) {
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if (ops.get(i).equals("*")) {
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int result = numbers.get(i) * numbers.get(i + 1);
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@ -823,12 +898,21 @@ private double calculateTrigFunction(String function, int angle) {
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ops.remove(i);
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i--; // 调整索引
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} else if (ops.get(i).equals("/")) {
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handleDivision(numbers, ops, i);
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i--; // 调整索引
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}
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}
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}
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/**
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* 处理除法运算
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*/
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private void handleDivision(List<Integer> numbers, List<String> ops, int i) {
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if (numbers.get(i + 1) != 0) {
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int result = numbers.get(i) / numbers.get(i + 1);
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numbers.set(i, result);
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numbers.remove(i + 1);
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ops.remove(i);
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i--; // 调整索引
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} else {
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// 避免除零错误,重新生成
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numbers.set(i + 1, 1 + random.nextInt(MAX_OPERAND_VALUE));
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@ -836,12 +920,13 @@ private double calculateTrigFunction(String function, int angle) {
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numbers.set(i, result);
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numbers.remove(i + 1);
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ops.remove(i);
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i--; // 调整索引
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}
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}
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}
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// 第三轮:处理加减法
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/**
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* 处理加减法运算
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*/
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private int processAdditionAndSubtraction(List<Integer> numbers, List<String> ops) {
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int result = numbers.get(0);
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for (int i = 0; i < ops.size(); i++) {
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if (ops.get(i).equals("+")) {
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|
@ -850,7 +935,6 @@ private double calculateTrigFunction(String function, int angle) {
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result -= numbers.get(i + 1);
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}
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}
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return result;
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}
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@ -858,11 +942,25 @@ private double calculateTrigFunction(String function, int angle) {
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|
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* 计算高中复合表达式(包含三角函数)
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*/
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|
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private int calculateSeniorCompoundExpression(List<Double> operands, List<String> operators) {
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|
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// 先处理三角函数运算
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|
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List<Double> numbers = new ArrayList<>(operands);
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List<String> ops = new ArrayList<>(operators);
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// 第一轮:处理三角函数运算
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processTrigonometricOperations(numbers, ops);
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// 第二轮:处理乘除法
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|
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processDoubleMultiplicationAndDivision(numbers, ops);
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|
|
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|
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// 第三轮:处理加减法
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|
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double result = processDoubleAdditionAndSubtraction(numbers, ops);
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return (int) Math.round(result);
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}
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|
|
/**
|
|
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|
|
* 处理三角函数运算
|
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|
|
*/
|
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|
|
private void processTrigonometricOperations(List<Double> numbers, List<String> ops) {
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|
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for (int i = 0; i < ops.size(); i++) {
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|
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if (ops.get(i).equals("sin") || ops.get(i).equals("cos") || ops.get(i).equals("tan")) {
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|
|
// 三角函数运算已经在生成时处理了
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|
|
@ -870,8 +968,12 @@ private double calculateTrigFunction(String function, int angle) {
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|
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i--; // 调整索引
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|
|
}
|
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|
|
}
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
// 第二轮:处理乘除法
|
|
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|
|
/**
|
|
|
|
|
* 处理双精度乘除法运算
|
|
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|
|
*/
|
|
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|
|
private void processDoubleMultiplicationAndDivision(List<Double> numbers, List<String> ops) {
|
|
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|
|
for (int i = 0; i < ops.size(); i++) {
|
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|
|
if (ops.get(i).equals("*")) {
|
|
|
|
|
double result = numbers.get(i) * numbers.get(i + 1);
|
|
|
|
|
@ -880,12 +982,21 @@ private double calculateTrigFunction(String function, int angle) {
|
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|
|
|
ops.remove(i);
|
|
|
|
|
i--; // 调整索引
|
|
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|
|
} else if (ops.get(i).equals("/")) {
|
|
|
|
|
handleDoubleDivision(numbers, ops, i);
|
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|
|
|
i--; // 调整索引
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|
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}
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}
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}
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/**
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* 处理双精度除法运算
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*/
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private void handleDoubleDivision(List<Double> numbers, List<String> ops, int i) {
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if (numbers.get(i + 1) != 0) {
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double result = numbers.get(i) / numbers.get(i + 1);
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numbers.set(i, result);
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numbers.remove(i + 1);
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ops.remove(i);
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i--; // 调整索引
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} else {
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// 避免除零错误,重新生成
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numbers.set(i + 1, 1.0 + random.nextInt(MAX_OPERAND_VALUE));
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@ -893,12 +1004,13 @@ private double calculateTrigFunction(String function, int angle) {
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numbers.set(i, result);
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numbers.remove(i + 1);
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ops.remove(i);
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i--; // 调整索引
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}
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}
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}
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// 第三轮:处理加减法
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/**
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* 处理双精度加减法运算
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*/
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private double processDoubleAdditionAndSubtraction(List<Double> numbers, List<String> ops) {
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double result = numbers.get(0);
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for (int i = 0; i < ops.size(); i++) {
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if (ops.get(i).equals("+")) {
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@ -907,68 +1019,40 @@ private double calculateTrigFunction(String function, int angle) {
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result -= numbers.get(i + 1);
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}
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}
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return (int) Math.round(result);
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return result;
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}
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/**
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* 计算高级复合表达式(包含平方运算)
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*/
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private int calculateAdvancedCompoundExpression(List<Integer> operands, List<String> operators) {
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// 先处理平方运算
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|
List<Integer> numbers = new ArrayList<>(operands);
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|
List<String> ops = new ArrayList<>(operators);
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|
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|
// 第一轮:处理平方运算
|
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|
|
for (int i = 0; i < ops.size(); i++) {
|
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|
|
|
if (ops.get(i).equals("²")) {
|
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|
int result = numbers.get(i) * numbers.get(i);
|
|
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|
|
numbers.set(i, result);
|
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|
|
ops.remove(i);
|
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|
|
i--; // 调整索引
|
|
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|
|
}
|
|
|
|
|
}
|
|
|
|
|
processSquareOperations(numbers, ops);
|
|
|
|
|
|
|
|
|
|
// 第二轮:处理乘除法
|
|
|
|
|
processMultiplicationAndDivision(numbers, ops);
|
|
|
|
|
|
|
|
|
|
// 第三轮:处理加减法
|
|
|
|
|
return processAdditionAndSubtraction(numbers, ops);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
/**
|
|
|
|
|
* 处理平方运算
|
|
|
|
|
*/
|
|
|
|
|
private void processSquareOperations(List<Integer> numbers, List<String> ops) {
|
|
|
|
|
for (int i = 0; i < ops.size(); i++) {
|
|
|
|
|
if (ops.get(i).equals("*")) {
|
|
|
|
|
int result = numbers.get(i) * numbers.get(i + 1);
|
|
|
|
|
numbers.set(i, result);
|
|
|
|
|
numbers.remove(i + 1);
|
|
|
|
|
ops.remove(i);
|
|
|
|
|
i--; // 调整索引
|
|
|
|
|
} else if (ops.get(i).equals("/")) {
|
|
|
|
|
if (numbers.get(i + 1) != 0) {
|
|
|
|
|
int result = numbers.get(i) / numbers.get(i + 1);
|
|
|
|
|
numbers.set(i, result);
|
|
|
|
|
numbers.remove(i + 1);
|
|
|
|
|
ops.remove(i);
|
|
|
|
|
i--; // 调整索引
|
|
|
|
|
} else {
|
|
|
|
|
// 避免除零错误,重新生成
|
|
|
|
|
numbers.set(i + 1, 1 + random.nextInt(MAX_OPERAND_VALUE));
|
|
|
|
|
int result = numbers.get(i) / numbers.get(i + 1);
|
|
|
|
|
if (ops.get(i).equals("²")) {
|
|
|
|
|
int result = numbers.get(i) * numbers.get(i);
|
|
|
|
|
numbers.set(i, result);
|
|
|
|
|
numbers.remove(i + 1);
|
|
|
|
|
ops.remove(i);
|
|
|
|
|
i--; // 调整索引
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
// 第三轮:处理加减法
|
|
|
|
|
int result = numbers.get(0);
|
|
|
|
|
for (int i = 0; i < ops.size(); i++) {
|
|
|
|
|
if (ops.get(i).equals("+")) {
|
|
|
|
|
result += numbers.get(i + 1);
|
|
|
|
|
} else if (ops.get(i).equals("-")) {
|
|
|
|
|
result -= numbers.get(i + 1);
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
return result;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
/**
|
|
|
|
|
* 获取随机运算符
|
|
|
|
|
*/
|
|
|
|
|
|