Add Zeckendorf Tests

.glotter.yml

@@ -1408,3 +1408,49 @@ projects:
                         expected: "Usage: please enter the dimension of the matrix and the serialized matrix"
                 transformations:
                     - "strip"
+    zeckendorf:
+        words:
+            - "zeckendorf"
+        requires_parameters: true
+        tests:
+            zeckendorf_valid:
+                params:
+                    -   name: "zero"
+                        input: '"0"'
+                        expected: ""
+                    -   name: "small fibonacci value"
+                        input: '"55"'
+                        expected: "55"
+                    -   name: "small non-fibonacci value"
+                        input: '"67"'
+                        expected: "55, 8, 3, 1"
+                    -   name: "large fibonacci value"
+                        input: '"10946"'
+                        expected: "10946"
+                    -   name: "large non-fibonacci value"
+                        input: '"16383"'
+                        expected: "10946, 4181, 987, 233, 34, 2"
+                transformations:
+                    -   remove:
+                        - "["
+                        - "]"
+                    - "strip"
+            zeckendorf_invalid:
+                params:
+                    -   name: "no input"
+                        input: null
+                        expected: "Usage: please input a non-negative integer"
+                    -   name: "empty input"
+                        input: '""'
+                        expected: "Usage: please input a non-negative integer"
+                    -   name: "negative input"
+                        input: '"-2"'
+                        expected: "Usage: please input a non-negative integer"
+                    -   name: "floating point input"
+                        input: '"2.6"'
+                        expected: "Usage: please input a non-negative integer"
+                    -   name: "non-numeric input"
+                        input: '"bad"'
+                        expected: "Usage: please input a non-negative integer"
+                transformations:
+                    - "strip"

archive/p/python/zeckendorf.py

@@ -0,0 +1,54 @@
+import sys
+from typing import NoReturn
+
+
+def usage() -> NoReturn:
+    print("Usage: please input a non-negative integer")
+    sys.exit(1)
+
+
+def fibonacci_up_to(n: int) -> list[int]:
+    result: list[int] = []
+    a = 1
+    b = 2
+    while a <= n:
+        result.append(a)
+        a, b = b, a + b
+
+    return result
+
+
+def zeckendorf(n: int) -> list[int]:
+    result: list[int] = []
+    fibs = fibonacci_up_to(n)
+    idx = len(fibs) - 1
+    while idx >= 0 and n > 0:
+        fib = fibs[idx]
+        if fib <= n:
+            n -= fib
+            result.append(fib)
+            idx -= 2
+        else:
+            idx -= 1
+
+    return result
+
+
+def main() -> int:
+    if len(sys.argv) < 2:
+        usage()
+
+    try:
+        n = int(sys.argv[1])
+    except ValueError:
+        usage()
+
+    if n < 0:
+        usage()
+
+    result = zeckendorf(n)
+    print(result)
+
+
+if __name__ == "__main__":
+    main()