feat: Add Complex Arithmetic Dataset and Tests

This commit introduces a new dataset for complex number arithmetic operations:

- Implements ComplexArithmeticDataset for generating complex number problems
- Supports addition, subtraction, multiplication, and division operations

Part of the algebra tasks collection in reasoning-gym.

README.md

@@ -84,6 +84,7 @@ See the [Dataset Gallery](GALLERY.md) for a complete list of available datasets
 - `LegCountingDataset`: Generate animal leg counting word problems with various animals
 - `PrimeFactorizationDataset`: Generate prime factorization tasks with configurable number ranges
 - `TimeIntervalsDataset`: Generate time interval calculation tasks with various formats (time, date, datetime) and complexities
+- `ComplexArithmeticDataset`: Generate complex arithmetic problems with configurable number of integers
 
 ### <small>Algorithmic Tasks</small>
 

reasoning_gym/algebra/__init__.py

@@ -2,7 +2,7 @@ from .intermediate_integration import IntermediateIntegrationConfig, Intermediat
 from .polynomial_equations import PolynomialEquationsConfig, PolynomialEquationsDataset
 from .simple_equations import SimpleEquationsConfig, SimpleEquationsDataset
 from .simple_integration import SimpleIntegrationConfig, SimpleIntegrationDataset
-
+from .complex_arithmetic import ComplexArithmeticConfig, ComplexArithmeticDataset
 __all__ = [
     "IntermediateIntegrationConfig",
     "IntermediateIntegrationDataset",
@@ -12,4 +12,6 @@ __all__ = [
     "SimpleEquationsConfig",
     "SimpleIntegrationConfig",
     "SimpleIntegrationDataset",
+    "ComplexArithmeticConfig",
+    "ComplexArithmeticDataset",
 ]

reasoning_gym/algebra/complex_arithmetic.py

@@ -0,0 +1,137 @@
+import random
+from dataclasses import dataclass
+from typing import Optional, Tuple
+import cmath
+
+from ..factory import ProceduralDataset, register_dataset
+
+
+@dataclass
+class ComplexArithmeticConfig:
+    min_real: int = -10
+    max_real: int = 10
+    min_imag: int = -10
+    max_imag: int = 10
+    operations: Tuple[str, ...] = ("+", "-", "*", "/")
+    seed: Optional[int] = None
+    size: int = 500
+
+    def validate(self) -> None:
+        """Validate configuration parameters."""
+        assert self.max_real >= self.min_real, "max_real must be >= min_real"
+        assert self.max_imag >= self.min_imag, "max_imag must be >= min_imag"
+        assert all(op in ("+", "-", "*", "/") for op in self.operations), "invalid operator"
+
+
+class ComplexArithmeticDataset(ProceduralDataset):
+    """Generates complex number arithmetic problems."""
+
+    def __init__(self, config: ComplexArithmeticConfig):
+        self._prompt_templates = {
+            "+": "Add the complex numbers: ({a}) + ({b})",
+            "-": "Subtract the complex numbers: ({a}) - ({b})",
+            "*": "Multiply the complex numbers: ({a}) × ({b})",
+            "/": "Divide the complex numbers: ({a}) ÷ ({b})",
+        }
+        super().__init__(config=config, seed=config.seed, size=config.size)
+
+    def _generate_complex(self, rng: random.Random) -> complex:
+        """Generate a random complex number."""
+        real = rng.randint(self.config.min_real, self.config.max_real)
+        imag = rng.randint(self.config.min_imag, self.config.max_imag)
+        return complex(real, imag)
+
+    def _format_complex(self, z: complex) -> str:
+        """Format complex number for display."""
+        real, imag = z.real, z.imag
+        if imag == 0:
+            return f"{real:.0f}"
+        elif real == 0:
+            return f"{imag:.0f}i"
+        else:
+            sign = "+" if imag >= 0 else "-"
+            return f"{real:.0f} {sign} {abs(imag):.0f}i"
+
+    def __getitem__(self, idx: int) -> dict:
+        rng = random.Random(self.seed + idx)
+        
+        # Generate two random complex numbers
+        a = self._generate_complex(rng)
+        b = self._generate_complex(rng)
+        
+        # For division, ensure denominator is not zero
+        while b == 0:
+            b = self._generate_complex(rng)
+
+        # Choose random operation
+        op = rng.choice(self.config.operations)
+        
+        # Calculate result
+        if op == "+":
+            result = a + b
+        elif op == "-":
+            result = a - b
+        elif op == "*":
+            result = a * b
+        else:  # op == "/"
+            result = a / b
+
+        question = self._prompt_templates[op].format(
+            a=self._format_complex(a),
+            b=self._format_complex(b)
+        )
+
+        return {
+            "question": question,
+            "answer": self._format_complex(result),
+            "metadata": {
+                "num1": (a.real, a.imag),
+                "num2": (b.real, b.imag),
+                "operation": op,
+                "result": (result.real, result.imag),
+            },
+        }
+
+    def score_answer(self, answer: str, metadata: dict) -> float:
+        """Score the answer, allowing for minor formatting differences."""
+        if answer is None:
+            return 0.0
+
+        try:
+            # Convert the expected result from metadata
+            expected_result = complex(*metadata["result"])
+            
+            # Parse student answer
+            # Remove spaces and convert to lowercase
+            answer = answer.replace(" ", "").lower()
+            
+            # Handle different forms of writing complex numbers
+            if "i" not in answer and "j" not in answer:
+                # Pure real number
+                return abs(complex(float(answer)) - expected_result) < 1e-10
+
+            # Replace 'i' with 'j' for Python's complex number notation
+            answer = answer.replace('i', 'j')
+            
+            # Handle cases like "2j" (add plus sign)
+            if answer[0] == 'j':
+                answer = '1' + answer
+            elif answer[-1] == 'j' and not any(c in answer[:-1] for c in '+-'):
+                answer = answer.replace('j', '+1j')
+            
+            # Add missing real or imaginary parts
+            if 'j' not in answer:
+                answer += '+0j'
+            
+            # Parse the answer string into a complex number
+            student_result = complex(answer)
+            
+            # Check if the results are close enough (allowing for minor floating-point differences)
+            return float(abs(student_result - expected_result) < 1e-10)
+
+        except (ValueError, TypeError):
+            # If there's any error in parsing the answer
+            return 0.0
+
+
+register_dataset("complex_arithmetic", ComplexArithmeticDataset, ComplexArithmeticConfig)

tests/test_complex_arithmetic.py

@@ -0,0 +1,89 @@
+import pytest
+from reasoning_gym.algebra.complex_arithmetic import ComplexArithmeticConfig, ComplexArithmeticDataset
+
+
+def test_complex_arithmetic_basic():
+    """Test basic functionality of complex arithmetic dataset."""
+    config = ComplexArithmeticConfig(
+        min_real=-5,
+        max_real=5,
+        min_imag=-5,
+        max_imag=5,
+        operations=("+", "-", "*", "/"),
+        seed=42,
+        size=10
+    )
+    dataset = ComplexArithmeticDataset(config)
+    
+    print(dataset)
+
+    # Test dataset size
+    assert len(dataset) == 10
+    
+    # Test a specific item
+    item = dataset[0]
+    assert "question" in item
+    assert "answer" in item
+    assert "metadata" in item
+
+    # Add more detailed assertions
+    assert isinstance(item["question"], str)
+    assert isinstance(item["answer"], str)
+    assert isinstance(item["metadata"], dict)
+    
+    # Check metadata structure
+    assert "num1" in item["metadata"]
+    assert "num2" in item["metadata"]
+    assert "operation" in item["metadata"]
+    assert "result" in item["metadata"]
+    
+    # Check data types in metadata
+    assert isinstance(item["metadata"]["num1"], tuple)
+    assert isinstance(item["metadata"]["num2"], tuple)
+    assert len(item["metadata"]["num1"]) == 2  # Real and imaginary parts
+    assert len(item["metadata"]["num2"]) == 2
+    assert isinstance(item["metadata"]["operation"], str)
+    assert isinstance(item["metadata"]["result"], tuple)
+
+    # dump dataset into a text file 
+    with open("complex_arithmetic_dataset.txt", "w") as f:
+        for item in dataset:
+            f.write(str(item) + "\n")
+
+
+def test_complex_arithmetic_scoring():
+    """Test scoring function with various answer formats."""
+    config = ComplexArithmeticConfig(seed=42)
+    dataset = ComplexArithmeticDataset(config)
+    
+    # Create a test case with known answer
+    metadata = {
+        "result": (3.0, 2.0)  # represents 3 + 2i
+    }
+    
+    # Test various correct answer formats
+    assert dataset.score_answer("3 + 2i", metadata) == 1.0
+    assert dataset.score_answer("3+2i", metadata) == 1.0
+    assert dataset.score_answer("3.0 + 2.0i", metadata) == 1.0
+    
+    # Test incorrect answers
+    assert dataset.score_answer("2 + 3i", metadata) == 0.0
+    assert dataset.score_answer("3", metadata) == 0.0
+    assert dataset.score_answer("inf + 2i", metadata) == 0.0
+    assert dataset.score_answer("2i", metadata) == 0.0
+    assert dataset.score_answer("invalid", metadata) == 0.0
+
+
+def test_complex_arithmetic_division_by_zero():
+    """Test that division by zero is handled properly."""
+    config = ComplexArithmeticConfig(
+        operations=("/",),  # Only test division
+        seed=42
+    )
+    dataset = ComplexArithmeticDataset(config)
+    
+    # Check multiple items to ensure no division by zero
+    for i in range(10):
+        item = dataset[i]
+        num2 = complex(*item["metadata"]["num2"])
+        assert num2 != 0