1 files changed, 40 insertions, 0 deletions
diff --git a/circrect.py b/circrect.py
new file mode 100644
index 0000000..e85ed77
--- /dev/null
+++ b/circrect.py
@@ -0,0 +1,40 @@
+from numbers import Number
+
+def clamp(low: Number, high: Number, num: Number) -> Number:
+    """Limit range of ``num`` between ``low`` and ``high``"""
+    return max(low, min(high, num))
+
+def circrect(a: Number, b: tuple[Number, Number], c: tuple[Number, Number]) -> Number:
+    """
+    Calculate the area of the overlap between a circle with radius ``a`` and a
+    rectangle defined by opposing corner points ``b`` and ``c``.
+
+    Args:
+        a: circle radius
+        b: first corner coordinate of rectangle
+        c: second corner coordinate of rectangle (opposite of b)
+
+    Returns:
+        Overlap area (square units)
+    """
+
+    # normalize input variables
+    a = abs(a)
+    b, c = (
+      (min(b[0], c[0]), min(b[1], c[1])),
+      (max(b[0], c[0]), max(b[1], c[1])),
+    )
+    b = (clamp(-a, a, b[0]), clamp(-a, a, b[1]))
+    c = (clamp(-a, a, c[0]), clamp(-a, a, c[1]))
+
+    return 0
+
+if __name__ == "__main__":
+    print(
+        circrect(1, (-1, -1), (1, 1)), # pi
+        circrect(1, (1, 1), (-1, -1)), # pi
+        circrect(-1, (-1, -1), (1, 1)), # pi
+        circrect(2, (10, 10), (11, 11)), # 0
+        circrect(10, (0, 0), (1, 1)), # 1
+    )
+