110 lines
3.7 KiB
Dart
110 lines
3.7 KiB
Dart
import 'package:flutter/widgets.dart';
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import 'package:test/test.dart';
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import 'package:simple_math_calc/solver.dart';
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void main() {
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group('求解器测试', () {
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final solver = SolverService();
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test('简单表达式求值', () {
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final result = solver.solve('2 + 3 * 4');
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expect(result.finalAnswer, contains('14'));
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});
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test('简单方程求解', () {
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final result = solver.solve('2x + 3 = 7');
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expect(result.finalAnswer, contains('x = 2'));
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});
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test('二次方程求解', () {
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final result = solver.solve('x^2 - 5x + 6 = 0');
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debugPrint(result.finalAnswer);
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expect(
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result.finalAnswer.contains('x_1 = 2') &&
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result.finalAnswer.contains('x_2 = 3'),
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true,
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);
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});
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test('三角函数求值', () {
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final result = solver.solve('sin(30)');
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debugPrint(result.finalAnswer);
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expect(result.finalAnswer.contains(r'\frac{1}{2}'), true);
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});
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test('带括号的复杂表达式', () {
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final result = solver.solve('(2 + 3) * 4');
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expect(result.finalAnswer, contains('20'));
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});
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test('括号展开的二次方程', () {
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final result = solver.solve('(x+8)(x+1)=-12');
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debugPrint('Result for (x+8)(x+1)=-12: ${result.finalAnswer}');
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// 这个方程应该被识别为一元二次方程，正确解应该是 x = -4 或 x = -5
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expect(
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result.steps.any((step) => step.title == '整理方程'),
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true,
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reason: '方程应被识别为一元二次方程并进行整理',
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);
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expect(
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(result.finalAnswer.contains('-4') &&
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result.finalAnswer.contains('-5')) ||
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result.finalAnswer.contains('x = -4') ||
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result.finalAnswer.contains('x = -5'),
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true,
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);
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});
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test('二次方程根的简化', () {
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final result = solver.solve('x^2 - 4x - 5 = 0');
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debugPrint('Result for x^2 - 4x - 5 = 0: ${result.finalAnswer}');
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// 这个方程的根应该是 x = (4 ± √(16 + 20))/2 = (4 ± √36)/2 = (4 ± 6)/2
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// 所以 x1 = (4 + 6)/2 = 5, x2 = (4 - 6)/2 = -1
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expect(
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(result.finalAnswer.contains('x_1 = 5') &&
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result.finalAnswer.contains('x_2 = -1')) ||
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(result.finalAnswer.contains('x_1 = -1') &&
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result.finalAnswer.contains('x_2 = 5')),
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true,
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reason: '方程 x^2 - 4x - 5 = 0 的根应该被正确简化',
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);
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});
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test('二次方程精确度改进', () {
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final result = solver.solve('x^2 - 2x - 1 = 0');
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debugPrint('Result for x^2 - 2x - 1 = 0: ${result.finalAnswer}');
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// 这个方程的根应该是 x = (2 ± √(4 + 4))/2 = (2 ± √8)/2 = (2 ± 2√2)/2 = 1 ± √2
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// 验证结果包含正确的根格式
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expect(
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result.finalAnswer.contains('x_1') &&
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result.finalAnswer.contains('x_2'),
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true,
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reason: '方程应该有两个根',
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);
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expect(
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result.finalAnswer.contains('1 +') ||
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result.finalAnswer.contains('1 -'),
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true,
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reason: '根应该以 1 ± √2 的形式出现',
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);
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});
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test('无实数解的二次方程', () {
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final result = solver.solve('x(55-3x+2)=300');
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debugPrint('Result for x(55-3x+2)=300: ${result.finalAnswer}');
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// 这个方程展开后为 -3x² + 57x - 300 = 0，判别式为负数，应该无实数解
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expect(
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result.steps.any((step) => step.formula.contains('无实数解')),
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true,
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reason: '方程应该被识别为无实数解',
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);
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expect(
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result.finalAnswer.contains('x_1') &&
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result.finalAnswer.contains('x_2'),
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true,
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reason: '应该提供复数根',
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);
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});
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});
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}
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