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63 changes: 63 additions & 0 deletions test/cas_test.dart
Original file line number Diff line number Diff line change
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import 'package:functionx/src/cas/cas.dart';
import 'package:test/test.dart';

void main() {
group('Cas', () {
group('evaluate', () {
test('differentiates single variable: d/dx(x^2)', () {
// math_expressions derivative logic produces this unsimplified form
expect(Cas.evaluate('d/dx(x^2)'), equals('((x^2.0) * (2.0 * (1.0 / x)))'));
});

test('differentiates trig function: d/dx(sin(x))', () {
// sin(x) derives to cos(x) * 1, which simplifies to cos(x)
expect(Cas.evaluate('d/dx(sin(x))'), equals('cos(x)'));
});

test('differentiates constant: d/dx(5)', () {
expect(Cas.evaluate('d/dx(5)'), equals('0.0'));
});

test('differentiates with different variable: d/dt(t^2)', () {
expect(Cas.evaluate('d/dt(t^2)'), equals('((t^2.0) * (2.0 * (1.0 / t)))'));
});

test('integrates variable: int(x)dx', () {
expect(Cas.evaluate('int(x)dx'), equals('0.5*x^2'));
});

test('integrates variable (implicit dx): int(x)', () {
expect(Cas.evaluate('int(x)'), equals('0.5*x^2'));
});

test('integrates trig function: int(cos(x))dx', () {
expect(Cas.evaluate('int(cos(x))dx'), equals('sin(x)'));
});

test('integrates constant: int(5)dx', () {
expect(Cas.evaluate('int(5)dx'), equals('5.0*x'));
});

test('simplifies expression: x + x', () {
// simplification logic does not combine like terms in this version
expect(Cas.evaluate('x + x'), equals('(x + x)'));
});

test('evaluates equation: d/dx(x^2) = 2*x', () {
expect(Cas.evaluate('d/dx(x^2) = 2*x'), equals('((x^2.0) * (2.0 * (1.0 / x))) = (2.0 * x)'));
});

test('throws on invalid derivative format', () {
expect(() => Cas.evaluate('d/dx'), throwsFormatException);
});

test('throws on invalid integral format', () {
expect(() => Cas.evaluate('int(x'), throwsFormatException);
});

test('throws on unsupported integration', () {
expect(() => Cas.evaluate('int(tan(x))dx'), throwsFormatException);
});
});
});
}