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hnu202326010302 5 months ago
parent e85f3275c2
commit f10ebc1b3c

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// HighQueSeting.java
package com.example.myapp.service;
import com.example.myapp.model.Expression;
public class HighQueSeting extends AbstractQuestionSeting {
@Override
public String addParenthesesIfNeeded(Expression child, String parentOp, boolean isRightChild) {
if (child.mainOperator == null
|| child.mainOperator.equals("²") || child.mainOperator.equals("√")
|| child.mainOperator.equals("sin") || child.mainOperator.equals("cos")
|| child.mainOperator.equals("tan")) {
return child.expression;
}
int parentPriority = getPriority(parentOp);
int childPriority = getPriority(child.mainOperator);
if (childPriority < parentPriority) {
return "(" + child.expression + ")";
}
if (isRightChild && (parentOp.equals("-") || parentOp.equals("/"))) {
if (parentPriority == childPriority) {
return "(" + child.expression + ")";
}
}
return child.expression;
}
public Expression applyUnary(Expression child, String op) {
switch (op) {
case "²":
if (child.mainOperator == null) {
return new Expression(child.expression + "²", child.value * child.value, "²");
}
return new Expression("(" + child.expression + ")²", child.value * child.value, "²");
case "√":
String numStr = getNumberForSqrt();
child = new Expression(numStr, parseNumber(numStr), null);
double sqrtValue = Math.sqrt(child.value);
if (child.mainOperator == null) {
return new Expression("√" + child.expression, sqrtValue, "√");
}
return new Expression("√(" + child.expression + ")", sqrtValue, "√");
case "sin":
int[] sinAngles = {0, 30, 45, 60, 90, 120, 135, 150, 180};
int sinAngle = sinAngles[rand.nextInt(sinAngles.length)];
child = new Expression(String.valueOf(sinAngle), sinAngle, null);
return new Expression("sin(" + child.expression + "°)",
Math.sin(Math.toRadians(child.value)), "sin");
case "cos":
int[] cosAngles = {0, 30, 45, 60, 90, 120, 135, 150, 180};
int cosAngle = cosAngles[rand.nextInt(cosAngles.length)];
child = new Expression(String.valueOf(cosAngle), cosAngle, null);
return new Expression("cos(" + child.expression + "°)",
Math.cos(Math.toRadians(child.value)), "cos");
case "tan":
int[] tanAngles = {0, 30, 45, 60, 120, 135, 150, 180};
int tanAngle = tanAngles[rand.nextInt(tanAngles.length)];
child = new Expression(String.valueOf(tanAngle), tanAngle, null);
double tanValue = Math.tan(Math.toRadians(child.value));
if (Math.abs(tanValue) > 1000) {
tanValue = tanValue > 0 ? 1000 : -1000;
}
return new Expression("tan(" + child.expression + "°)", tanValue, "tan");
default:
return child;
}
}
@Override
public Expression setQuestion(int count) {
Expression result = firstSetQuestion(count);
// 确保高中题目包含至少一个三角函数
int attempts = 0;
while (!result.expression.contains("sin") && !result.expression.contains("cos")
&& !result.expression.contains("tan") && attempts < 10) {
result = firstSetQuestion(count);
attempts++;
}
return result;
}
public Expression probability(Expression result) {
// 高中阶段40%概率添加一元运算
if (rand.nextDouble() < 0.4) {
String[] unaryOps = {"²", "√", "sin", "cos", "tan"};
String unaryOp = unaryOps[rand.nextInt(unaryOps.length)];
result = applyUnary(result, unaryOp);
result.mainOperator = unaryOp;
}
return result;
}
public Expression firstSetQuestion(int count) {
if (count == 1) {
String numStr = getRandomNumber();
Expression expr = new Expression(numStr, parseNumber(numStr), null);
expr = probability(expr);
return expr;
}
int leftCount = 1 + rand.nextInt(count - 1);
int rightCount = count - leftCount;
Expression left = firstSetQuestion(leftCount);
Expression right = firstSetQuestion(rightCount);
String op = getRandomOperator();
double value = 0;
switch (op) {
case "+":
value = left.value + right.value;
break;
case "-":
value = left.value - right.value;
break;
case "*":
value = left.value * right.value;
break;
case "/":
if (Math.abs(right.value) < 1e-10) {
return firstSetQuestion(count);
}
value = left.value / right.value;
break;
}
String leftExpr = addParenthesesIfNeeded(left, op, false);
String rightExpr = addParenthesesIfNeeded(right, op, true);
Expression result = new Expression(leftExpr + " " + op + " " + rightExpr, value, op);
result = probability(result);
return result;
}
}
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