Welcome to DeltaBlue: Efficient Constraint Solving

DeltaBlue is a sophisticated and efficient constraint solver designed for complex programming problems. It provides several useful APIs that allow developers to create, manage, and solve constraints effectively. Below, we will introduce some key APIs of DeltaBlue and provide examples to illustrate their usage. Additionally, we will present a small application demonstrating these APIs in action.

Key DeltaBlue API Examples

1. Constraint Creation

Use the `Constraint` class to create new constraints.

constraint = Constraint("x + y == 10")

2. Variable Initialization

Initialize variables using the `Variable` class.

x = Variable(3)
y = Variable(7)

3. Adding Constraints

Add constraints to a solver instance.

solver = Solver()
solver.add_constraint(constraint)

4. Solving Constraints

Solve the constraints using the solver’s `solve` method.

solver.solve()

5. Getting Results

Retrieve the results using the `value` method of the variables.

result_x = x.value()
result_y = y.value()
print(f"Results: x={result_x}, y={result_y}")

API Application Example: Rectangle Resizer

Let’s consider an application where we use DeltaBlue to keep a rectangle’s aspect ratio consistent while resizing. We’ll use the introduced APIs to achieve this:

class Rectangle:
    def __init__(self, width, height):
        self.width = Variable(width)
        self.height = Variable(height)
        self.aspect_ratio = Constraint(self.width / self.height == 1.5)

    def resize_width(self, new_width):
        self.width = Variable(new_width)
        solver = Solver()
        solver.add_constraint(self.aspect_ratio)
        solver.solve()
        return self.height.value()

rect = Rectangle(300, 200)
print("New height with width 450:", rect.resize_width(450))

In this example, we’ve defined a `Rectangle` class that maintains a 1.5 aspect ratio while resizing the width. The DeltaBlue APIs ensure that the height is adjusted automatically to maintain the ratio. This example showcases the power and simplicity of using DeltaBlue for constraint solving in real-world applications.

Conclusion

DeltaBlue is an effective tool for solving constraints in various programming scenarios. Its easy-to-use APIs facilitate efficient constraint management and problem-solving, making it an indispensable tool for developers. Try out DeltaBlue in your next project and experience its benefits!

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