mathtool/lib/tools/symmetry.dart

// tools/symmetry.dart
import 'package:flutter/material.dart';
import 'package:rational/rational.dart';
import '../utils/math_utils.dart';

class SymmetryPage extends StatefulWidget {
  @override
  _SymmetryPageState createState() => _SymmetryPageState();
}

class _SymmetryPageState extends State<SymmetryPage> {
  int _selectedMode = 0; // 0: 点关于直线对称, 1: 直线关于点对称, 2: 直线关于直线对称

  // 点关于直线对称
  final TextEditingController pointXController = TextEditingController();
  final TextEditingController pointYController = TextEditingController();
  final TextEditingController lineAController = TextEditingController();
  final TextEditingController lineBController = TextEditingController();
  final TextEditingController lineCController = TextEditingController();

  // 直线关于点对称
  final TextEditingController line2AController = TextEditingController();
  final TextEditingController line2BController = TextEditingController();
  final TextEditingController line2CController = TextEditingController();
  final TextEditingController point2XController = TextEditingController();
  final TextEditingController point2YController = TextEditingController();

  // 直线关于直线对称
  final TextEditingController line3AController = TextEditingController();
  final TextEditingController line3BController = TextEditingController();
  final TextEditingController line3CController = TextEditingController();
  final TextEditingController axisAController = TextEditingController();
  final TextEditingController axisBController = TextEditingController();
  final TextEditingController axisCController = TextEditingController();

  String result = '';

  @override
  Widget build(BuildContext context) {
    return Scaffold(
      appBar: AppBar(title: Text('对称变换')),
      body: Padding(
        padding: EdgeInsets.all(16),
        child: Column(
          children: [
            DropdownButton<int>(
              value: _selectedMode,
              items: [
                DropdownMenuItem(value: 0, child: Text('点关于直线对称')),
                DropdownMenuItem(value: 1, child: Text('直线关于点对称')),
                DropdownMenuItem(value: 2, child: Text('直线关于直线对称')),
              ],
              onChanged: (value) {
                setState(() {
                  _selectedMode = value!;
                  result = '';
                });
              },
            ),
            SizedBox(height: 20),
            _buildInputs(),
            SizedBox(height: 20),
            ElevatedButton(
              onPressed: _calculate,
              child: Text('计算'),
            ),
            SizedBox(height: 20),
            if (result.isNotEmpty)
              Card(
                child: Padding(
                  padding: EdgeInsets.all(16),
                  child: Text(
                    result,
                    style: TextStyle(fontSize: 16),
                  ),
                ),
              ),
          ],
        ),
      ),
    );
  }

  Widget _buildInputs() {
    switch (_selectedMode) {
      case 0:
        return Column(
          children: [
            Text('点坐标:'),
            Row(
              children: [
                Expanded(child: _buildInputField('x', pointXController)),
                SizedBox(width: 10),
                Expanded(child: _buildInputField('y', pointYController)),
              ],
            ),
            Text('直线方程: Ax + By + C = 0'),
            Row(
              children: [
                Expanded(child: _buildInputField('A', lineAController)),
                SizedBox(width: 10),
                Expanded(child: _buildInputField('B', lineBController)),
                SizedBox(width: 10),
                Expanded(child: _buildInputField('C', lineCController)),
              ],
            ),
          ],
        );
      case 1:
        return Column(
          children: [
            Text('直线方程: Ax + By + C = 0'),
            Row(
              children: [
                Expanded(child: _buildInputField('A', line2AController)),
                SizedBox(width: 10),
                Expanded(child: _buildInputField('B', line2BController)),
                SizedBox(width: 10),
                Expanded(child: _buildInputField('C', line2CController)),
              ],
            ),
            Text('点坐标:'),
            Row(
              children: [
                Expanded(child: _buildInputField('x', point2XController)),
                SizedBox(width: 10),
                Expanded(child: _buildInputField('y', point2YController)),
              ],
            ),
          ],
        );
      case 2:
        return Column(
          children: [
            Text('原直线: Ax + By + C = 0'),
            Row(
              children: [
                Expanded(child: _buildInputField('A', line3AController)),
                SizedBox(width: 10),
                Expanded(child: _buildInputField('B', line3BController)),
                SizedBox(width: 10),
                Expanded(child: _buildInputField('C', line3CController)),
              ],
            ),
            Text('对称轴: Ax + By + C = 0'),
            Row(
              children: [
                Expanded(child: _buildInputField('A', axisAController)),
                SizedBox(width: 10),
                Expanded(child: _buildInputField('B', axisBController)),
                SizedBox(width: 10),
                Expanded(child: _buildInputField('C', axisCController)),
              ],
            ),
          ],
        );
      default:
        return Container();
    }
  }

  Widget _buildInputField(String label, TextEditingController controller) {
    return TextField(
      controller: controller,
      keyboardType: TextInputType.numberWithOptions(signed: true, decimal: true),
      decoration: InputDecoration(
        labelText: label,
        border: OutlineInputBorder(),
      ),
    );
  }

  void _calculate() {
    try {
      switch (_selectedMode) {
        case 0:
          _calculatePointLineSymmetry();
          break;
        case 1:
          _calculateLinePointSymmetry();
          break;
        case 2:
          _calculateLineLineSymmetry();
          break;
      }
    } catch (e) {
      setState(() {
        result = '错误: $e';
      });
    }
  }

// 在 symmetry.dart 中修复相关代码
void _calculatePointLineSymmetry() {
  final x = MathUtils.parseRational(pointXController.text);
  final y = MathUtils.parseRational(pointYController.text);
  final A = MathUtils.parseRational(lineAController.text);
  final B = MathUtils.parseRational(lineBController.text);
  final C = MathUtils.parseRational(lineCController.text);

  final solutions = MathUtils.solveLinear2(
    A, B, - (A * x + B * y + MathUtils.two * C),
    B, -A, B * x - A * y,
  );

  setState(() {
    result = '对称点: (${MathUtils.rationalToString(solutions[0])}, '
                     '${MathUtils.rationalToString(solutions[1])})';
  });
}

void _calculateLinePointSymmetry() {
  final A = MathUtils.parseRational(line2AController.text);
  final B = MathUtils.parseRational(line2BController.text);
  final C = MathUtils.parseRational(line2CController.text);
  final x = MathUtils.parseRational(point2XController.text);
  final y = MathUtils.parseRational(point2YController.text);

  final newC = -MathUtils.two * A * x - MathUtils.two * B * y - C;

  setState(() {
    result = '对称直线方程: ${MathUtils.rationalToString(A)}x + '
                     '${MathUtils.rationalToString(B)}y + '
                     '${MathUtils.rationalToString(newC)} = 0';
  });
}

void _calculateLineLineSymmetry() {
  final P = MathUtils.parseRational(line3AController.text);
  final Q = MathUtils.parseRational(line3BController.text);
  final R = MathUtils.parseRational(line3CController.text);
  final A = MathUtils.parseRational(axisAController.text);
  final B = MathUtils.parseRational(axisBController.text);
  final C = MathUtils.parseRational(axisCController.text);

  final k = MathUtils.two * (P * A + Q * B) / (A * A + B * B);

  final newA = P - A * k;
  final newB = Q - B * k;
  final newC = R - C * k;

  setState(() {
    result = '对称直线方程: ${MathUtils.rationalToString(newA)}x + '
                     '${MathUtils.rationalToString(newB)}y + '
                     '${MathUtils.rationalToString(newC)} = 0';
  });
}
// 在 symmetry.dart 中修复 dispose 方法
@override
void dispose() {
  pointXController.dispose();
  pointYController.dispose();
  lineAController.dispose();
  lineBController.dispose();
  lineCController.dispose();
  line2AController.dispose();
  line2BController.dispose();
  line2CController.dispose();
  point2XController.dispose();
  point2YController.dispose();
  line3AController.dispose();
  line3BController.dispose();
  line3CController.dispose();
  axisAController.dispose();
  axisBController.dispose();
  axisCController.dispose();
  super.dispose();
}
}