Add the arc shape.

src/ansys/geometry/core/shapes/arc.py

@@ -0,0 +1,144 @@
+"""``ArcSketch`` class module."""
+from typing import List, Optional
+
+import numpy as np
+
+from ansys.geometry.core.math import Point, vector
+from ansys.geometry.core.shapes.base import BaseShape
+from ansys.geometry.core.typing import Real
+
+
+class Arc(BaseShape):
+    """A class for modelling arcs."""
+
+    def __init__(
+        self,
+        origin: Point,
+        start_point: Point,
+        end_point: Point,
+    ):
+        """Initializes the arc shape.
+
+        Parameters
+        ----------
+        origin : Point
+            A :class:``Point`` representing the center of the arc.
+        start_point : Point
+            A :class:``Point`` representing the start of the arc.
+        end_points : Point
+            A :class:``Point`` representing the end of the arc.
+
+        """
+        # Verify both points are not the same
+        if start_point == end_point:
+            raise ValueError("Start and end points must be different.")
+        if origin == start_point:
+            raise ValueError("Center and start points must be different.")
+        if origin == end_point:
+            raise ValueError("Center and end points must be different.")
+
+        self._origin, self._start_point, self._end_point = (origin, start_point, end_point)
+
+        self._start_vector = vector.Vector.from_points(self._origin, self._start_point)
+        self._end_vector = vector.Vector.from_points(self._origin, self._end_point)
+        self._radius = self._start_vector.norm
+
+    @property
+    def start_point(self) -> Point:
+        """Return the start of the arc line.
+
+        Returns
+        -------
+        Point
+            Starting point of the arc line.
+
+        """
+        return self._start_point
+
+    @property
+    def end_point(self) -> Point:
+        """Return the end of the arc line.
+
+        Returns
+        -------
+        Point
+            Ending point of the arc line.
+
+        """
+        return self._end_point
+
+    @property
+    def radius(self) -> Real:
+        """The radius of the circle.
+
+        Returns
+        -------
+        Real
+            The radius of the circle.
+
+        """
+        return self._radius
+
+    @property
+    def angle(self) -> Real:
+        """The angle of the circle.
+
+        Returns
+        -------
+        Real
+            The angle of the circle.
+
+        """
+
+        self._angle = np.arccos(self._start_vector * self._end_vector / self.radius**2)
+        return self._angle
+
+    @property
+    def length(self) -> Real:
+        """Return the length of the arc.
+
+        Returns
+        -------
+        Real
+            The length of the arc.
+
+        """
+        return 2 * np.pi * self.radius * self.angle
+
+    @property
+    def sector_area(self) -> Real:
+        """Return the area of the sector of the arc.
+
+        Returns
+        -------
+        Real
+            The area of the sector of the arc.
+
+        """
+        return self.radius**2 * self.angle / 2
+
+    def local_points(self, num_points: Optional[int] = 100) -> List[Point]:
+        """Returns al list containing all the points belonging to the shape.
+
+        Parameters
+        ----------
+        num_points : int
+            Desired number of points belonging to the shape.
+
+        Returns
+        -------
+        List[Point]
+            A list of points representing the shape.
+
+        """
+        theta = np.linspace(0, self.angle, num_points)
+        return [
+            Point(
+                [
+                    self.radius * np.cos(ang) + self.origin[0],
+                    self.radius * np.sin(ang) + self.origin[1],
+                    self.origin[2],
+                ]
+            )
+            for ang in theta
+        ]

src/ansys/geometry/core/sketch.py

@@ -5,6 +5,7 @@
 from ansys.geometry.core.math import UNIT_VECTOR_X, UNIT_VECTOR_Y, ZERO_VECTOR3D
 from ansys.geometry.core.math.point import Point
 from ansys.geometry.core.math.vector import UnitVector, Vector
+from ansys.geometry.core.shapes.arc import Arc
 from ansys.geometry.core.shapes.base import BaseShape
 from ansys.geometry.core.shapes.circle import Circle
 from ansys.geometry.core.shapes.ellipse import Ellipse
@@ -232,3 +233,30 @@ def draw_polygon(
         polygon = Polygon(radius, sides, origin, dir_1=dir_1, dir_2=dir_2)
         self.append_shape(polygon)
         return polygon
+
+    def draw_arc(
+        self,
+        center: Point,
+        start_point: Point,
+        end_point: Point,
+    ):
+        """Create an arc shape on the sketch.
+
+        Parameters
+        ----------
+        center : Point
+            A :class:``Point`` representing the center of the arc.
+        start_point : Point
+            A :class:``Point`` representing the start of the shape.
+        end_points : Point
+            A :class:``Point`` representing the end of the shape.
+
+        Returns
+        -------
+        Arc
+            An object representing the arc added to the sketch.
+
+        """
+        arc = Arc(center, start_point, end_point)
+        self.append_shape(arc)
+        return arc

tests/test_shapes.py

@@ -249,3 +249,27 @@ def test_errors_segment():
         match="Parameters 'origin' and 'end' have the same values. No segment can be created.",
     ):
         Segment(Point([10, 20, 30]), Point([10, 20, 30]))
+
+
+def test_create_arc():
+    """Test arc shape creation in a sketch."""
+
+    # Create a Sketch instance
+    sketch = Sketch()
+
+    # Draw an arc in previous sketch
+    origin = Point([1, 1, 0], unit=UNITS.meter)
+    start_point = Point([1, 3, 0], unit=UNITS.meter)
+    end_point = Point([3, 1, 0], unit=UNITS.meter)
+    arc = sketch.draw_arc(origin, start_point, end_point)
+
+    # Check attributes are expected ones
+    assert_allclose(arc.radius, 2)
+    assert_allclose(arc.sector_area, np.pi)
+    assert_allclose(arc.length, 2 * np.pi**2)
+
+    # Check points are expected ones
+    local_points = arc.local_points(num_points=5)
+    assert abs(all(local_points[0] - Point([3, 1, 0]))) <= DOUBLE_EPS
+    assert abs(all(local_points[1] - Point([2.8477, 1.7653, 0]))) <= DOUBLE_EPS
+    assert abs(all(local_points[4] - Point([1, 3, 0]))) <= DOUBLE_EPS