parent
28b0d64598
commit
44062e673a
@ -1,107 +1,43 @@
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import java.util.List;
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import java.util.Random;
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/**
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* 生成高中题目
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*/
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public class SeniorProblem implements ProblemsGenerator {
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private static final Random RANDOM = new Random();
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private static final String[] OPERATORS = {"+", "-", "*", "/"};
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private static final String[] POW_OPERATORS = {"√", "^2"};
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private static final String[] TRIG_OPERATORS = {"sin", "cos", "tan"};
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private final BracketManager bracketManager = new BracketManager();
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private final PowerManager powerManager = new PowerManager();
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private final TrigManager trigManager = new TrigManager();
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private final ExpressionBuilder expressionBuilder = new ExpressionBuilder();
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@Override
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public String generate() {
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String primaryExpression = generatePrimaryExpression();
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return addHighSchoolOperators(primaryExpression);
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}
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private String generatePrimaryExpression() {
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int count = RANDOM.nextInt(4) + 2;
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StringBuilder sb = new StringBuilder();
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for (int i = 0; i < count; i++) {
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int num = RANDOM.nextInt(100) + 1;
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sb.append(num);
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if (i < count - 1) {
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sb.append(" ").append(OPERATORS[RANDOM.nextInt(OPERATORS.length)]).append(" ");
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}
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}
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return sb.toString();
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}
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private String addHighSchoolOperators(String primaryExpression) {
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String[] parts = primaryExpression.split(" ");
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StringBuilder result = new StringBuilder();
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boolean hasTrigonometry = false;
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boolean hasAlgebra = false;
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for (int i = 0; i < parts.length; i++) {
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String part = parts[i];
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String expression;
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boolean hasTrig;
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do {
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int numCount = RANDOM.nextInt(5) + 1;
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expression = expressionBuilder.generateBasicExpression(numCount);
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List<Integer> numPositions = expressionBuilder.getNumberPositions(expression);
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if (isNumber(part)) {
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if (!hasTrigonometry || RANDOM.nextDouble() < 0.6) {
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part = applyTrigOperator(part);
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hasTrigonometry = true;
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}
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else if (RANDOM.nextDouble() < 0.3) {
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part = applyAlgebraOperator(part);
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hasAlgebra = true;
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if (RANDOM.nextDouble() < 0.8) {
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int pairs = bracketManager.decideParenthesesPairs(numCount);
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if (pairs > 0) {
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expression = bracketManager.addParentheses(expression, pairs, numPositions);
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}
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}
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result.append(part);
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if (i < parts.length - 1) {
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result.append(" ");
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}
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}
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if (!hasTrigonometry) {
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return addTrigonometryForced(result.toString());
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}
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return result.toString();
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}
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private boolean isNumber(String str) {
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try {
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Integer.parseInt(str);
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return true;
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} catch (NumberFormatException e) {
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return false;
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}
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}
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private String applyTrigOperator(String number) {
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String operator = TRIG_OPERATORS[RANDOM.nextInt(TRIG_OPERATORS.length)];
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int num = Integer.parseInt(number);
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int angle = generateValidAngle(operator);
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return operator + angle + "°";
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}
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private String applyAlgebraOperator(String number) {
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String operator = POW_OPERATORS[RANDOM.nextInt(POW_OPERATORS.length)];
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int num = Integer.parseInt(number);
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return operator.equals("√") ? "√" + num : num + "^2";
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}
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private int generateValidAngle(String trigOp) {
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int angle = RANDOM.nextInt(100) + 1;
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if (trigOp.equals("tan")) {
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while (angle == 90) {
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angle = RANDOM.nextInt(100) + 1;
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}
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}
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return angle;
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}
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private String addTrigonometryForced(String expression) {
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String[] parts = expression.split(" ");
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for (int i = 0; i < parts.length; i++) {
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if (isNumber(parts[i])) {
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parts[i] = applyTrigOperator(parts[i]);
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break;
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// 添加三角函数并检查是否存在
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expression = trigManager.addTrigOperations(expression, numPositions);
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List<Integer> trigPositions = expressionBuilder.getNumberPositions(expression);
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hasTrig = expression.contains("sin") || expression.contains("cos") || expression.contains("tan");
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// 40% 概率加幂运算,避免与 trig 重叠
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if (RANDOM.nextDouble() < 0.4) {
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expression = powerManager.addPowerOperationsAvoid(expression, numPositions, trigPositions);
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}
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}
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} while (expressionBuilder.hasDivideByZero(expression) || !hasTrig);
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return String.join(" ", parts);
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return expression;
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}
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}
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}
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